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Bending of surfaces. II. (English) Zbl 0861.53002

The first part of this work has been published in 1991 [Itogi Nauki Tekh., Ser. Probl. Geom. 23, 131-184 (1991; Zbl 0755.53002)]. According to the same scheme, the second part is a review of the studies on bendings and infinitesimal bendings of two special classes of surfaces: surfaces of revolution and polyhedra.
Literature cited: 246 articles.

MSC:

53A05 Surfaces in Euclidean and related spaces
53-02 Research exposition (monographs, survey articles) pertaining to differential geometry

Citations:

Zbl 0755.53002
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Full Text: DOI

References:

[1] A. D. Alexandrov, ”On infinitesimal bendings of irregular surfaces,”Mat. Sb.,1, No. 3, 307–322 (1937).
[2] A. D. Alexandrov, ”On one class of closed surfaces,”Mat. Sb.,2, No. 1, 69–77 (1978).
[3] A. D. Alexandrov,Convex Polyhedra [in Russian], GITTL, Moscow (1950).
[4] A. D. Alexandrov and E. P. Sen’kin, ”On the inflexibility of convex surfaces,”Vestn. LGU, No. 1, 104–106 (1956).
[5] A. D. Alexandrov and S. M. Vladimirova, ”On the bending of a polyhedron with solid faces,”Vestn. LGU,13, No. 3, 138–141 (1962).
[6] V. A. Alexandrov, ”Notes on Sabitov’s hypothesis about the stability of the volume in infinitesimal bendings of a surface,”Sib. Mat. Zh.,30, No. 5, 16–24 (1989). · Zbl 0694.53046 · doi:10.1007/BF01054211
[7] T. M. Allaev and V. N. Mikhailovskii, ”On the first-order infinitesimal bendings of smooth convex surfaces of revolution governed by conical socket connections along the boundary,”Ukr. Geom. Sb., No. 33, 3–8 (1990).
[8] E. R. Andreichin, ”Second-order infinitesimal bendings of a compound surface of revolution under certain boundary conditions,”Godishn. Sofia Univ., Fak. Mat., Mekh.,72, 257–269 (1978).
[9] E. R. Andreichin, ”Third-order infinitesimal bendings of sliding of some surfaces of revolution,”Godishn Sofia Univ., Fak. Mat., Mekh.,79, No. 1, 271–285 (1985).
[10] E. R. Andreichin, ”Third-order infinitesimal bendings of some surfaces of revolution with conical socket incision,”Godishn. Sofia Univ., Fak. Mat., Mekh.,80, (1986).
[11] E. R. Andreichin, ”On points of third-order relative nonrigidity of a surface of revolution,” [in Bulgarian], In:Mathematics and Mathematical Education, Sofia (1988), pp. 129–134.
[12] E. R. Andreichin and I. Kh. Sabitov, ”The extension of Rembs theorem to general convex surfaces of revolution,”Ukr. Geom. Sb., No. 26, 13–24 (1983). · Zbl 0536.53060
[13] N. I. Bakievich, ”Boundary problems for mixed-type equations appearing in the study of infinitesimal bendings of surfaces of revolution,”Uspekhi Mat. Nauk,15, No. 1, 171–176 (1960).
[14] N. I. Bakievich, ”On a certain mixed-type equation in the theory of infinitesimal bendings of surfaces,”Volzhsk. Mat. Sb., Teor. Ser.,1, 32–42 (1963).
[15] K. M. Belov, ”On infinitesimal bendings of a torus-shaped surface of revolution with quadrangular meridian,”Sib. Mat. Zh.,9, No. 3, 490–494 (1968).
[16] B. V. Boyarskii, ”On rigidity of some compound surfaces,”Uspekhi Mat. Nauk,14, No. 6, 141–146 (1959).
[17] I. S. Brandt, ”On a certain problem for infinitesimal deformations of a plane,”Tr. MIEM, Mat. Anal. Prilozhen., No. 53, 11–45 (1975).
[18] B. A. Bublik, ”An example of a system of nonrigid smooth closed surfaces with two linearly independent infinitesimal bendings,”Uspekhi Mat. Nauk 14, No. 6, 155–158 (1959).
[19] B. A. Bublik, ”On the existence of nonrigid smooth closed surfaces,”Dokl. Akad. Nauk SSSR,131, No. 4, 725–727 (1960).
[20] B. A. Bublik, ”On a number of fundamental infinitesimal bendings of closed ribbed surfaces of revolution,”Uspekhi Mat. Nauk,18, No. 2, 121–125 (1963). · Zbl 0139.14902
[21] Yu. D. Burago and V. A. Zalgaller, ”On realizations of developments in the form of polyhedrons,”Vestn. LGU, No. 7, 66–80 (1960). · Zbl 0098.35403
[22] A. V. Bushmelev and I. Kh. Sabitov, ”Configuration spaces of Bricard’s octahedrons,”Ukr. Geom. Sb., No. 33, 36–41 (1990). · Zbl 0724.51021
[23] I. N. Vekua,Generalized Analytic Functions [in Russian], Fizmatgiz, Moscow (1959). · Zbl 0092.29703
[24] Yu. A. Volkov, ”On deformations of a convex polyhedral angle,”Uspekhi Mat. Nauk,11, No. 5, 209–210 (1956).
[25] R. F. Galeeva and D. D. Sokolov, ”On infinitesimal bendings of a one-sheeted hyperboloid,” In:Issled. po Teorii Poverkhnostei v Riman. Prostr., Leningrad (1984), pp. 41–44. · Zbl 0601.53004
[26] A. M. Gurin, ”Analog of Cauchy’s theorem,”Ukr. Geom. Sb., No. 24, 32–33 (1981). · Zbl 0474.52011
[27] N. V. Efimov, ”Qualitative problems of the theory of deformations of surfaces,”Uspekhi Mat. Nauk,3, No. 2, 47–158 (1948). · Zbl 0030.06901
[28] V. A. Zalgaller, ”On polygon deformations on a sphere,”Uspekhi Mat. Nauk,11, No. 5, 177–178 (1956).
[29] V. A. Zalgaller, ”Continuously bending polyhedrons,”Kvant, No. 9, 13–19 (1979). · doi:10.1070/QE1979v009n01ABEH008560
[30] A. N. Zubkov,An Example of a Nonrigid Closed Surface of Revolution with Stationary Volume [in Russian], Taganrog. Gos. Ped. Inst., Taganrog (1984).
[31] I. Ivanova-Karatopraklieva, ”On the nonrigidity of some compound surfaces of revolution,”Mat. Zametki,10, No. 3, 333–344 (1971). · Zbl 0234.53006
[32] I. Ivanova-Karatopraklieva, ”On infinitesimal bendings of sliding of some surfaces of revolution,”Mat. Zametki,10, No. 5, 549–554 (1971). · Zbl 0231.53002
[33] I. Ivanova-Karatopraklieva, ”Infinitesimal bendings of surfaces of revolution under certain boundary conditions,”Godishn. Sofia Univ., Fak. Mat., Mekh.,67, 235–247 (1972–1973).
[34] I. Ivanova-Karatopraklieva, ”Infinitesimal bendings of mixed-curvature surfaces of revolution,”Serdika, Bolg. Mat. Spisanie,1, No. 3–4, 346–355 (1976). · Zbl 0439.53062
[35] I. Ivanova-Karatopraklieva, ”On second-order infinitesimal bendings,”Serdika, Bolg. Mat. Spisanie,3, 41–51 (1977).
[36] I. Ivanova-Karatopraklieva, ”Second-order nonrigidity of some surfaces of revolution,”Serdika, Bolg. Mat. Spisanie,3, No. 2, 159–167 (1977). · Zbl 0451.53003
[37] I. Ivanova-Karatopraklieva, ”Certain properties of the fields of infinitesimal bendings of surfaces of revolution,”Godishn. Sofia Univ., Fak. Mat., Mekh.,76, 21–40 (1982–1983). · Zbl 0637.53005
[38] I. Ivanova-Karatopraklieva, ”Nonrigidity of certain classes of mixed-curvature surfaces of rotation,”Dokl. Bolgar. Akad. Nauk,37, No. 5, 569–572 (1984). · Zbl 0546.53003
[39] I. Ivanova-Karatopraklieva, ”Rigidity of certain classes of mixed-curvature surfaces whose boundaries are not parallels,”Serdika, Bolg. Mat. Spisanie,11, No. 4, 330–340 (1985). · Zbl 0611.53006
[40] I. Ivanova-Karatopraklieva, ”A field of infinitesimal bendings of a surface of revolution with Gaussian curvature” [in Bulgarian], In:Mathematics and Mathematical Education, Sofia (1985), pp. 251–257. · Zbl 0595.53004
[41] I. Ivanova-Karatopraklieva, ”Fields of the second-order infinitesimal bendings of certain classes of surfaces of rotation,”Godishn. Sofia Univ., Fak. Mat., Mekh.,79, No. 1, 149–160 (1985).
[42] I. Ivanova-Karatopraklieva, ”Higher-order infinitesimal bendings of surfaces of rotation,”Godishn. Sofia Univ., Fak. Mat., Informat.,84, No. 1 (1990). · Zbl 0727.53008
[43] I. Ivanova-Karatopraklieva and E. Andreichin, ”On the relative nonrigidity points of some compound faces of revolution,”Godishn. Sofia Univ., Fak. Mat., Mekh.,69, 53–62 (1974–1975).
[44] I. Ivanova-Karatopraklieva and I. Kh. Sabitov, ”Second-order infinitesimal bendings of surfaces of revolution with flattening at the pole,”Mat. Zametki,45, No. 1, 28–35 (1989). · Zbl 0662.53003
[45] I. Ivanova-Karatopraklieva and I. Kh. Sabitov, ”Bendings of surfaces. I.,” In: Problemy Geometrii. Vol. 23,Itogi Nauki i Tekhn., All-Union Institute for Scientific and Technical Information (VINITI), Akad. Nauk SSSR, Moscow (1991), pp. 131–184. · Zbl 0755.53002
[46] V. V. Kazak, ”Infinitesimal bendings of bounded-by-parallel paraboloid of rotation under the condition of generalized sliding,” In:Mat., Nekotorye ee Prilozh. i Metodika Prepodavaniya, Rostov-on-Don (1973), pp. 67–68.
[47] V. V. Kazak, ”Infinitesimal bendings of spherical surfaces under the condition of generalized sliding,” In:Mat., Nekotorye ee Prilozh. i Metodika Prepodavaniya, Rostov-on-Don (1973), pp. 69–70.
[48] M. D. Kovalev, ”On rigid immersions of hinge mechanisms,” In:9-aya Vses. Geom. Konf.: Tez. Soobshch., Kishinev (1988), pp. 151–152.
[49] P. I. Kudrik, ”Mapping of infinitesimal bendings of convex surfaces,”Vestn. Kiev. Univ., Ser. Mat. Mekh., No. 22, 45–50 (1980).
[50] P. I. Kudrik, ”On G. M. Polozhii’s functions in the theory of infinitesimal bendings of surfaces,”Vestn. Kiev. Univ., Ser. Mat., Mekh., No. 23, 68–72 (1981).
[51] M. N. Kuznetsov and L. G. Mikhailov, ”Infinitesimal bendings of one class of convex surfaces with conic point,”Dokl. Akad. Nauk Tadzh. SSR,15, No. 8, 11–14 (1972). · Zbl 0248.53001
[52] L. A. Lusternik,Convex Figures and Polyhedra [in Russian], Nauka, Moscow (1956).
[53] A. I. Medyanik, ”Model of Connelly’s polyhedron,”Kvant, No. 7, 39 (1979).
[54] Sh. S. Metskhovrishvili, ”Momentless stressed state of a torus-shaped shell,”Soobshch. Akad. Nauk Gruz. SSR,16, No. 4, 263–267 (1955).
[55] Sh. S. Metskhovrishvili, ”On infinitesimal bendings of a torus-shaped shell,”Soobshch. Akad. Nauk Gruz. SSR,18, No. 5, 521–527 (1957).
[56] Sh. S. Metskhovrishvili, ”Problems on the momentless stressed state of a torus-shaped shell,”Tr. Tbilissk. Mat. Inst. Akad. Nauk Gruz. SSR,24, 179–193 (1957).
[57] A. D. Milka, ”On points of relative nonrigidity of a convex surface of revolution,”Ukr. Geom. Sb., No. 1, 65–74 (1965).
[58] A. D. Milka, ”Analog of Blaschke’s formula for polyhedra,”Ukr. Geom. Sb., No. 1, 62–64 (1965).
[59] A. D. Milka, ”On a Stoker’s hypothesis,”Ukr. Geom. Sb., No. 9, 85–86 (1970).
[60] A. D. Milka, ”What is geometry ’in the large’?” In:Novoe v Zhisni, Nauke, Tekhnike. Ser. Matem., Kibern., Vol. 3, Znanie, Moscow (1986), pp. 3–31.
[61] V. I. Mikhailovskii, ”Studying infinitesimal bendings of some surfaces with negative curvature,”Vestnik Kiev. Univ., Ser. Mat., Mekh.,1, No. 2, 79–93 (1958).
[62] V. I. Mikhailovskii, ”Infinitesimal bendings of compound surfaces of revolution with negative curvature,”Vestn. Kiev. Univ., Ser. Mat., Mekh.,1, No. 5, 79–93 (1962).
[63] V. I. Mikhailovskii, ”Infinitesimal bendings of surfaces of revolution with negative curvature under conditions of conic socket connections,”Dokl. Akad. Nauk Ukr. SSR, No. 8, 990–993 (1962).
[64] V. I. Mikhailovskii, ”Infinitesimal bendings of sliding of surfaces of revolution with negative curvature,”Ukr. Mat. Zh.,14, No. 1, 18–29 (1962). · Zbl 0141.18801 · doi:10.1007/BF02530104
[65] V. I. Mikhailovskii, ”Infinitesimal bendings of piecewise-regular surfaces of revolution with negative curvature,”Ukr. Mat. Zh.,14, No. 4, 422–426 (1962). · Zbl 0146.43201 · doi:10.1007/BF02526539
[66] V. I. Mikhailovskii, ”Infinitesimal bendings of some nonconvex piecewise-regular closed surfaces with negative curvature,”Vestn. Kiev. Univ., Ser. Mat., Mekh., No. 4, 69–79 (1964).
[67] V. I. Mikhailovskii and D. Uteuliev, ”On infinitesimal bendings of ribbed surfaces of revolution fixed along a boundary relative to points,”Izv. Akad. Nauk Kazkh. SSR, Ser. Fiz., Mat., No. 1, 45–51 (1973).
[68] V. I. Mikhailovskii and D. Uteuliev, ”On some boundary problems in the theory of infinitesimal bendings of surfaces of rotation,”Vestn. Kiev. Univ., Ser. Mat., Mekh., No. 18, 54–62 (1976).
[69] V. I. Mikhailovskii and M. Sherkuziev, ”First-order infinitesimal bendings of surfaces of revolution with positive Gaussian curvature under conditions of conic socket connections,” In:Differents. Geometriya Mnogoobrazii, Tashkent (1980), pp. 34–45.
[70] V. I. Mikhailovskii and M. Sherkuziev, ”On some criteria of the analytic inflexibility of surfaces of solution,”Vestn. Kiev. Univ., Ser. Mat., Mekh., No. 23, 88–93 (1981).
[71] K. K. Mokrishchev, ”On the unique determination of some arbitrary curved surfaces,”Comment. Math. Univ. Carol,5, No. 4, 203–208 (1964).
[72] K. K. Mokrishchev, ”On infinitesimal bendings of a torus,”Comment. Math. Univ. Carol,7, No. 3, 279–288 (1966).
[73] K. K. Mokrishchev, ”On the problem of infinitesimal bendings of a torus,”Comment. Math. Univ. Carol,8, No. 2, 331–333 (1967). · Zbl 0155.30401
[74] K. K. Mokrishchev and N. G. Perlova, ”On first- and second-order infinitesimal bendings of sliding of convex ribbed belts of revolution,” In:Mat. Anal. ego Pril. Vol. 1, Rostov-on-Don (1969), pp. 133–142. · Zbl 0296.53003
[75] Ngueng Tkhan’ Dao, ”On rigidity of surfaces of revolution with a boundary governed by external connections,” In:Molodoe Uchenye – Nauch.-Tekhn. Progressu, Rostov-on-Don (1973), pp. 34–39.
[76] N. G. Perlova, ”On first- and second-order infinitesimal bendings of convex ribbed surfaces of revolution,” In:Soobshch. na 2i Konf. Rostovsk. Nauchn. Mat. Ob-va, Rostov-on-Don (1969), pp. 116–124.
[77] N. G. Perlova, ”On first-, second- and third-order infinitesimal bendings of closed ribbed surfaces of rotation,”Comment. Math. Univ. Carol,10, No. 1, 1–35 (1969).
[78] N. G. Perlova, ”On high-order infinitesimal bendings of closed surfaces of revolution,”Comment. Math. Univ. Carol,11, No. 1, 31–51 (1970).
[79] N. G. Perlova, ”On first- and second-order infinitesimal bendings of ribbed segments and belts of revolution,” In:Materialy 10i Nauchno-Teor. Konf. Aspirantov. Ser. Estestv. Tochn. Nauki, Rostov-on-Don (1970), pp. 63–70.
[80] N. G. Perlova, ”On infinitesimal bendings of ribbed troughs of revolution,” In:Mat. Analiz i Ego Prilozheniya. Vol. 2, Rostov-on-Don (1970), pp. 53–62.
[81] N. G. Perlova, ”On first- and second-order infinitesimal bendings of ribbed surfaces of rotation with preservation of normal curvature or geodesic torsion of a boundary parallel,”Mat. Zametki,10, No. 2, 135–144 (1971). · Zbl 0217.47001
[82] N. G. Perlova, ”On sliding first-, second- and third-order infinitesimal bendings of ribbed surfaces of revolution bounded by one parallel,”Comment. Math. Univ. Carol,12, No. 4, 807–823 (1971). · Zbl 0223.53002
[83] N. G. Perlova, ”A condition of second-order rigidity of a doubly connected surface of revolution,”Comment. Math. Univ. Carol,13, No. 1, 23–29 (1972). · Zbl 0233.53002
[84] N. G. Perlova, ”On points of first- and second-order relative nonrigidity of ribbed surfaces of revolution,” In:Mat. Analiz i Ego Pril., Vol. 4, Rostov-on-Don (1972), pp. 16–28.
[85] N. G. Perlova, ”On infinitesimal bendings of ridge torus-shaped surfaces of revolution,” In:Mat. Analiz i Ego Pril., Vol. 4, Rostov-on-Don (1972), pp. 95–1-9.
[86] N. G. Perlova, ”On extension of first-order infinitesimal bendings of closed ridge surfaces into the second-order infinitesimal bendings,”Izv. Vuzov, Mat., No. 9, 84–89 (1972).
[87] N. G. Perlova, ”Sliding infinitesimal bendings of convex surfaces of revolution,”Comment. Math. Univ. Carol,15, No. 3, 407–414 (1974).
[88] N. G. Perlova, ”On a condition of second-order rigidity,”Comment. Math. Univ. Carol,16, No. 3, 425–433 (1975).
[89] N. G. Perlova and E. N. Kononova, ”On sliding third-order infinitesimal bendings,”Izv. Sev.-Kavk. Nauchn. Tsentr. Vyssh. Shkol. Estestv. Nauk, No. 1, 40–43 (1989). · Zbl 0685.53004
[90] N. G. Perlova and I. Kh. Sabitov, ”Second-order rigidity of troughs of revolution of theC 2 class,”Vestn. MGU, Mat., Mekh., No. 5, 47–52 (1975). · Zbl 0321.53003
[91] N. Yu. Petkevich, ”On a certain boundary problem in the theory of infinitesimal bendings of surfaces with negative curvature,”Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 6, 523–527 (1972).
[92] A. V. Pogorelov, ”New proof of the inflexibility of convex polyhedra,”Uspekhi Mat. Nauk,11, No. 5, 207–208 (1956).
[93] A. V. Pogorelov, ”Special infinitesimal bendings of a convex surface,”Tr. Mat. Inst. Akad. Nauk SSSR,166, 210–212 (1984). · Zbl 0554.73010
[94] E. G. Poznyak, ”An example of a closed surface with a singular point, possessing a countable fundamental system of infinitesimal bendings,”Uspekhi Mat. Nauk,12, No. 3, 363–367 (1957).
[95] E. G. Poznyak, ”Relation between first- and second-order nonrigidities for surfaces of revolution,”Uspekhi Mat. Nauk,14, No. 6, 179–184 (1959).
[96] E. G. Poznyak, ”Nonrigid closed polyhedra,”Vestn. MGU, Mat., Mekh., No. 3, 14–19 (1960).
[97] E. G. Poznyak, ”On second-order nonrigidity,”Uspekhi Mat. Nauk,16, No. 1, 157–161 (1961).
[98] M. N. Radchenko, ”Infinitesimal bendings of piecewise-regular convex surfaces of revolution,”Vestnik Kiev. Univ., Ser. Astron., Mat., Mekh.,2, No. 2, 92–101 (1959).
[99] M. N. Radchenko, ”Infinitesimal bendings of some ridge surfaces,”Vestn. Kiev. Univ., Ser. Mat., Mekh., No. 4, 112–117 (1961).
[100] M. N. Radchenko, ”On infinitesimal bendings of some surfaces with negative curvature,”Vestn. Kiev. Univ., Ser. Mat., Mekh., No. 8, 110–112 (1966).
[101] M. N. Radchenko, ”On fields of bendings of some infinite surfaces with negative curvature,”Vestn. Kiev. Univ., Ser. Mat., Mekh., No. 10, 68–71 (1968).
[102] M. N. Radchenko, ”On the structure of fields of bendings of a straight circular cylindrical belt”,Vestn. Kiev. Univ., Ser. Mat., Mekh., No. 17, 146–152 (1975).
[103] Yu. G. Reshetnyak, ”On nonrigid surfaces of revolution”,Sib. Mat. Zh.,3, No. 4, 591–604 (1962).
[104] I. Kh. Sabitov, ”On the rigidity of some surfaces of revolution”,Mat. Sb.,60, No. 4, 506–519 (1963).
[105] I. Kh. Sabitov, ”On the rigidity of ”crimping” surfaces of revolution”,Mat. Zametki,14, No. 4, 517–522 (1973).
[106] I. Kh. Sabitov, ”On infinitesimal bendings of troughs of revolution.I”,Mat. Sb.,98, No. 1, 113–129 (1975); ”On infinitesimal bendings of troughs of rotation. II”,Mat. Sb.,99, No. 1, 49–57 (1976). · Zbl 0371.53041
[107] I. Kh. Sabitov, ”A possible generalization of the Minagawa-Rado lemma on the rigidity of a surface of rotation with a fixed parallel”,Mat. Zametki,19, No. 1, 123–132 (1976).
[108] I. Kh. Sabitov, ”Description of bendings of degenerating suspensions”,Mat. Zametki,33, No. 6, 901–914 (1983).
[109] I. Kh. Sabitov, ”Two-dimensional Riemannian manifolds with local metric of revolution”, In:8aya Vsesoyusn. Nauchn. Konf. po Sovr. Probl. Diff. Geom.: Tez. Dokl., Odessa (1984), p. 138;Colloq. Diff. Geom., Aug. 20–26, 1989, Eger, Hungary (1989), pp. 47–48.
[110] I. Kh. Sabitov, ”Study of the rigidity and inflexibility of analytic surfaces of revolution with flattening at the pole”,Vestn. MGU, Mat., Mekh., No. 5, 29–36 (1986). · Zbl 0633.53006
[111] I. Kh. Sabitov, ”Algorithmic checking of the flexibility of suspensions”,Ukr. Geom. Sb., No. 30, 109–112 (1987). · Zbl 0629.51027
[112] I. Kh. Sabitov, ”New classes of inflexible polyhedra”, In:Vses. Knof. po Geometrii i Analizy. Tezisy, Novosibirsk (1989), p. 72.
[113] I. Kh. Sabitov, ”Local theory of bendings of surfaces”, In:Sovr. Probl. Mat. Fund. Napravleniya. Vol. 48,Itogi Nauki i Tekhn., All-Union Institute for Scientific and Technical Information, Akad. Nauk SSSR, Moscow (1989), pp. 196–270. · Zbl 0711.53002
[114] E. P. Sen’kin, ”Unique determination of convex polyhedra”,Uspekhi Mat. Nauk,11, No. 5, 211–213 (1956).
[115] Sun He-Sheng, ”Some criteria of rigidity for surfaces of rotation”,Dokl. Akad. Nauk SSSR,116, No. 5, 758–761 (1957). · Zbl 0081.15601
[116] Sun He-Sheng, ”Some problems of infinitesimal bendings of surfaces”,Dokl. Akad. Nauk SSSR,122, No. 4, 559–561 (1958). · Zbl 0086.14602
[117] Sun, He-Sheng, ”Uniqueness of the solution of degenerating equations and the rigidity of a surface”,Dokl. Akad. Nauk SSSR,122, No. 5, 770–773 (1958). · Zbl 0092.14601
[118] Sun He-Sheng, ”On the rigidity of surfaces with nonnegative curvature under conditions of socket connections”,Scientica Sinica,9, No. 3, 305–359 (1960).
[119] S. S. Tasmuratov, ”Bending of a polygon into a polyhedron with a given boundary”,Sib. Mat. Zh.,15, No. 6, 1338–1347 (1974).
[120] S. S. Tasmuratov, ”Bending of a finitely connected polygon into a polyhedron with a given boundary”, In:Geometriya, Vol. 6, Leningrad (1977), pp. 102–107.
[121] G. P. Tkachuk, ”Some conditions of the rigidity of surfaces of revolution with mixed-type curvature”,Vestn. Kiev. Univ., Ser. Mat., Mekh., No. 2, 102–105 (1962).
[122] G. P. Tkachuk, ”Infinitesimal bendings of sliding of some surfaces of revolution with alternating curvature”,Vestn. Kiev. Univ., Ser. Mat., Mekh., No. 11, 81–86 (1969).
[123] G. P. Tkachuk, ”Infinitesimal bendings of sliding of surfaces of revolution with alternating curvature and parabolic parallels of another type”,Dokl. Akad. Nauk Ukr. SSR, No. 2, 144–347 (1972).
[124] G. P. Tkachuk, ”Infinitesimal bendings of surfaces of revolution with alternating curvature governed by conic socket connections”,Vestn. Kiev. Univ., Ser. Mat., Mekh., No. 16, 113–117 (1974).
[125] D. A. Trotsenko, ”On nonrigid analytic surfaces of revolution”,Sib. Mat. Zh.,21, No. 5, 100–108 (1980). · Zbl 0479.53002
[126] V. I. Trushkina, ”Theorem on the coloring and rigidity of a convex polyhedron”,Ukr. Geom. Sb., No. 24, 116–122 (1981). · Zbl 0474.52012
[127] V. I. Trushkina, ”A method of three-color coloring of graphs”,Sib. Mat. Zh.,28, No. 2, 186–200 (1987). · Zbl 0677.05035
[128] Z. D. Usmanov, ”Infinitesimal bendings of surfaces sewn from pieces of second-order surfaces of revolution”,Dokl. Akad. Nauk Tadzh. SSR,7, No. 5, 9–13 (1964).
[129] V. T. Fomenko, ”Assessment of the set cardinality of nonrigid socket connections for surfaces of revolution”,Dokl. Akad. Nauk SSSR,169, No. 4, 781–784 (1966).
[130] V. T. Fomenko, ”Some results in the theory of infinitesimal bendings of surfaces”,Mat. Sb.,72, No. 3, 388–441 (1967).
[131] S. T. Khineva, ”Infinitesimal bendings of piecewise regular surfaces of revolution with negative curvature”,Godishn. Sofia Univ., Fak. Mat., Mekh.,67, 41–53 (1972–1973).
[132] N. I. Cherney, ”On infinitesimal bendings of sliding of spherical segments relative to an arbitrary plane”,Ukr. Mat. Zh.,14, No. 4, 440–446 (1962). · Zbl 0131.37201 · doi:10.1007/BF02526543
[133] G. N. Chernis, ”Nonrigid ridge surfaces with a boundary”,Ukr. Mat. Zh.,16, No. 4, 550–558 (1964). · Zbl 0132.42202 · doi:10.1007/BF02537661
[134] G. N. Chernis, ”On a certain criterion of the rigidity of a convex surface of revolution under conditions of conic socket connections”,Izv. Vuzov, Mat., No. 1, 111–115 (1976).
[135] G. N. Chernis, ”Criteria of nonrigidity of nonclosed ribbed surfaces of revolution”,Vestn. Kiev. Univ., Ser. Mat., Mekh.,19, 21–25 (1977).
[136] M. Sherkuziev, ”On the analytical inflexibility of surfaces, fixed along the curve on the surface with respect to a point and a plane”, In:Differents. Geometriya Mnogoobrazii, Tashkent (1980), pp. 23–33. · Zbl 0494.53004
[137] V. I. Shimko, ”On the problem of constructing nonrigid closed ribbed surfaces of revolution”,Izv. Vuzov, Mat.,37, 184–187 (1964).
[138] L. A. Shor, ”On the bending of convex polyhedra with a boundary”,Mat. Sb.,45, No. 4, 471–488 (1958).
[139] L. A. Shor, ”On the flexibility of convex polyhedra with a ’cut”’,Ukr. Mat. Zh.,16, 513–620 (1964). · Zbl 0158.19703 · doi:10.1007/BF02537654
[140] A. I. Shtern, ”Stoicheia and Platonic polyhedra”, In:Antichnaya Kultura i Sovr.Nauka, Nauka, Moscow (1985), pp. 35–42.
[141] M. Artin, ”Algebraic approximations of structures over complete local rings”,IHES Publ. Math., No. 36, 23–58 (1969). · Zbl 0181.48802
[142] L. Asimow and B. Roth, ”The rigidity of graphs. I”,Trans. Amer. Math. Soc.,245, 279–289 (1978). · Zbl 0392.05026 · doi:10.1090/S0002-9947-1978-0511410-9
[143] L. Asimow and B. Roth, ”The rigidity of graphs. II”,J. Math. Anal. Appl.,68, No. 1, 171–190 (1979). · Zbl 0441.05046 · doi:10.1016/0022-247X(79)90108-2
[144] E. J. Baker, ”On structures and linkage”,Struct. Topol.,5, 39–44 (1981). · Zbl 0531.73035
[145] T. F. Banchoff, ”Nonrigidity theorem for tight polyhedra”,Arch. Math. 21, No. 4, 416–423 (1970). · Zbl 0216.18801 · doi:10.1007/BF01220940
[146] D. W. Barnette and B. Grunbaum, ”On Steinitz’s theorem concerning convex 3-polytopes and some properties of planar graphs”,Lect. Notes Math.,110, 27–40 (1969). · doi:10.1007/BFb0060102
[147] M. Berger,Géométrie. Parts 1–5, CEDIC, Fernan Nathan (1977).
[148] W. Blaschke, ”Uber Paare umfangsgleichez Eilinien”,Jahresber. Deutsch. Math. Vereinig.,48, No. 1, 69–74 (1938). · JFM 64.0733.02
[149] D. Bleecker, ”Infinitesimal deformations of portions of the standard sphere inE 3”,Amer. Math. Monthly,87, No. 3, 175–182 (1980). · Zbl 0442.53004 · doi:10.2307/2321601
[150] G. Bol, ”Uber einen Satz von Cauchy”,Jahresber. Deutsch. Math. Vereining.,48, No. 1, 74–76 (1938). · JFM 64.0733.03
[151] E. D. Bolker and B. Roth, ”When is a bipartite graph a rigid framework?”,Pacif. J. Math. 90, No. 1, 27–44 (1980). · Zbl 0407.05078
[152] N. Chakravaty, G. Kolman, S. McGuinnes, and A. Recski, ”One-story buildings as tension frameworks”,Struct. Topol.,12, 11–18 (1986).
[153] S. S. Chern, ”Curves and surfaces in euclidean space”, In:Studies in Global Geometry and Analysis. Math. Ass. Amer., Vol. 4 (1967), pp. 16–56.
[154] S. Cohn-Vossen, ”Unstare geschlossene Flachen”,Math. Ann,102, No. 1, 10–29 (1929). · JFM 55.1016.03 · doi:10.1007/BF01782336
[155] R. Connelly, ”An attack on rigidity. I.”,Bull. Amer. Math. Soc.,81, No. 3, 566–569 (1975). · Zbl 0315.50003 · doi:10.1090/S0002-9904-1975-13739-6
[156] R. Connelly,An Attack on Rigidity. I–II, Preprint, Cornell Univ. (1974). · Zbl 0284.55006
[157] R. Connelly, ”An immersed polyhedral surface which flexes”,Indiana Univ. Math. J.,25, No. 10, 965–972 (1976). · Zbl 0342.57008 · doi:10.1512/iumj.1976.25.25076
[158] R. Connelly, ”A counterexample to the rigidity conjecture for polyhedra”,IHES Publ. Math., No. 47, 333–338 (1978). · Zbl 0375.53034
[159] R. Connelly, ”The rigidity of polyhedral surfaces”,Math. Mag.,52, No. 5, 275–283 (1979). · Zbl 0452.51019 · doi:10.2307/2689778
[160] R. Connelly, ”Conjectures and open questions in rigidity”, In:Proc. Int. Congr. Math., Helsinki, 15–23 Aug., 1978, Helsinki (1980), pp. 407–414.
[161] R. Connelly, ”The rigidity of certain cabled frameworks and the second-order rigidity of arbitrary giangulated convex surfaces”,Adv. Math.,37, No. 3, 272–299 (1980). · Zbl 0446.51012 · doi:10.1016/0001-8708(80)90037-7
[162] R. Connelly, ”Rigidity and energy”,Invent. Math.,66, No. 1, 11–33 (1982). · Zbl 0485.52001 · doi:10.1007/BF01404753
[163] R. Connelly,The Basic Concepts of Infinitesimal Rigidity, Preprint, Cornell Univ. (1988).
[164] R. Connelly,The Basic Concepts of Static Rigidity, Preprint, Cornell Univ. (1988).
[165] R. Connelly, ”Rigid circle and sphere packings. Part I: Finite packings,”Struct. Topol.,14, 43–60 (1988). · Zbl 0642.52013
[166] R. Connelly, ”Rigid circle and sphere packings. Part II: Infinite packings with finite motion,”Struct. Topol.,16, 57–76 (1990). · Zbl 0725.52009
[167] R. Connelly, ”Rigidity,” In:Handbook of Convex Geometry (1992). · Zbl 0788.52001
[168] R. Connelly and W. Whiteley,Second-Order Rigidity and Pre-Stress Stability for Tension Frameworks, Preprint, Cornell Univ. (1990). · Zbl 0855.52006
[169] H. Crapo, ”Structural rigidity,”Struct. Topol.,1, 26–45 (1979). · Zbl 0534.51020
[170] H. Crapo and W. Whiteley, ”The tetrahedral-octahedral truss,”Struct. Topol.,7, 51–60 (1982). · Zbl 0533.73069
[171] H. Crapo and W. Whiteley, ”Statics of frameworks and motions of panel structures: a projective geometric introduction,”Struct. Topol.,6, 43–82 (1982). · Zbl 0533.73068
[172] A. Dandurand, ”La rigidite des reseaux spatiaux composes,”Struct. Topol.,10, 41–56 (1984). · Zbl 0548.51017
[173] W. Egloff, ”Eine Bemerkung zu Cauchy’s Satz uber die Starrheit konvexer Vielflache,”Abhandl. Math. Semin. Univ., Hamburg,209, No. 3–4, 253–256 (1956). · Zbl 0073.36702
[174] A. Fogelsanger,A Generic Rigidity of Minimal Cycles, Preprint, Cornell Univ. (1988).
[175] P. Gario, ”II theorema di Cauchy sulla rigidita dei poliedri convessi,”Archimede,33, No. 1–2, 53–59 (1981). · Zbl 0473.52005
[176] H. Gluck, ”Almost all simple connected closed surfaces are rigid,”Lect. Notes Math.,438, 225–239 (1975). · Zbl 0315.50002 · doi:10.1007/BFb0066118
[177] B. Grunbaum and G. Shephard,Lectures in Lost Mathematics, Mimeographed Notes, Univ. of Washington (1975).
[178] B. Grunbaum and G. Shephard, ”Rigidity of polyhedra, frameworks and cabled frameworks,”Notices mer. Math. Soc.,25, No. 6, Abstract 760-d3, A-642 (1978).
[179] B. Grunbaum and G. Shephard, ”Rigid plate frameworks,”Struct. Topol.,14, 1–8 (1988).
[180] T. L. Heath,The Thirteen Books of Euclid’s Elements, Cambridge (1926). · JFM 52.0007.03
[181] L. A. Hinrich, ”Prismatic tension,”Struct. Topol.,9, 3–14 (1984).
[182] I. Ivanova-Karatopraklieva, ”Infinitesimal bendings of higher order of rotational surfaces,”Dokl. Bolg. Akad.,43, No. 12, 13–16 (1990). · Zbl 0727.53008
[183] P. Kann, ”Counting types of rigid frameworks,”Invent. Math.,55, No. 3, 297–308 (1979). · Zbl 0427.51010 · doi:10.1007/BF01406844
[184] E. Kann, ”Infinitesimal rigidity of almost-convex oriented polyhedra of arbitrary Euler characteristic,”Pacif. J. Math.,144, No. 1, 71–103 (1990). · Zbl 0667.52007
[185] H. Karcher, ”Remarks on polyhedra with given dihedral angles,”Commun. Pure Appl. Math.,21, No. 2, 169–174 (1968). · Zbl 0159.24302 · doi:10.1002/cpa.3160210204
[186] N. Kuiper, ”Spheres poliedriques dans E, d’apres Robert Connelly,”Lect. Notes Math.,700, 147–168 (1979). · doi:10.1007/BFb0069977
[187] G. Laman, ”On graph rigidity of plane skeletal structures,”J. Eng. Math.,4, No. 4, 331–340 (1970). · Zbl 0213.51903 · doi:10.1007/BF01534980
[188] N. Liebmann, ”Uber die Verbiegung der geschlossen Flachen positiver die Krummung,”Math. Ann.,53, 81–112 (1900). · JFM 31.0610.01 · doi:10.1007/BF01456030
[189] N. Liebmann, ”Uber die Verbiegung der geschlossen Ringflache,” In:Gottinger Nachr. (1901), pp. 39–53. · JFM 32.0616.03
[190] N. Liebmann, ”Bedingte Flachenverbiegungen, in besondere Gleitverbiegungen,”Sitzber. Bayerische Ak. D. Wiss (Munchen Berichte), 21–48 (1920). · JFM 47.0663.03
[191] L. Locacz and Y. Yemini, ”On generic rigidity in the plane,”SIAM J. Algebr. Discrete Method.,3, 91–98 (1982). · Zbl 0497.05025 · doi:10.1137/0603009
[192] T. Minagawa and T. Rado, ”On the infinitesimal rigidity of surfaces,”Osaka Math. J.,4, No. 2, 241–285 (1952). · Zbl 0048.15301
[193] T. Minagawa and T. Rado, ”On the infinitesimal rigidity of surfaces of revolution,”Math. Z.,59, No. 2, 151–163 (1953). · Zbl 0051.12403 · doi:10.1007/BF01180247
[194] J. Nitsche, ”Beitrage zur Verbiegung zweifach zusammenhangender Flachenstucke,”Math. Z.,62, No. 4, 388–399 (1955). · Zbl 0064.40505 · doi:10.1007/BF01180646
[195] O. Pylarinos, ”Sur les surfaces a courbure moyenne constante applicables sur des surfaces de revolution,”Ann. Mat. Pure Appl.,59, 319–350 (1962). · Zbl 0108.33903 · doi:10.1007/BF02411736
[196] J.-L. Raymond, ”La rigidite generique des graphes biparti-complets dans \(\mathbb{R}\) d ,”Struct. Topol.,10, 57–62 (1984). · Zbl 0548.51016
[197] E. Rembs, ”Über die Verbiegung parabolische berandeter Flächen negativer Krümmung,”Math. Z.,35, 529–535 (1932). · JFM 58.0744.02 · doi:10.1007/BF01186568
[198] E. Rembs, ”Uber Gleitverbiegungen,”Math. Ann.,111, 587–595 (1935). · Zbl 0012.22402 · doi:10.1007/BF01472241
[199] E. Rembs, ”Zur Verbiegung von Flachen im Grossen,”Math. Z.,56, No. 3, 271–279 (1952). · Zbl 0047.15101 · doi:10.1007/BF01174753
[200] B. Roth, ”Questions on the rigidity of structures,”Struct. Topol.,4, 67–71 (1980). · Zbl 0531.73034
[201] B. Roth, ”Rigid and flexible frameworks,”Amer. Math. Monthly,88, No. 1, 6–21 (1981). · Zbl 0455.51012 · doi:10.2307/2320705
[202] B. Roth and W. Whiteley,The Rigidity of Frameworks Given by Convex Surfaces, Preprint, Cornell Univ. (1988).
[203] B. Roth and W. Whiteley, ”Rigidity of tension frameworks,”Trans. Amer. Math. Soc.,265, No. 2, 419–446 (1981). · Zbl 0479.51015 · doi:10.1090/S0002-9947-1981-0610958-6
[204] I. M. Roussos, ”Principal-curvature-preserving isometries of surfaces in ordinary space,”Bol. Soc. Brasil. Math.,18, No. 2, 95–105 (1987). · Zbl 0751.53004 · doi:10.1007/BF02590026
[205] I. J. Schoenberg, S. K. Zaremba, ”On Cauchy’s lemma concerning convex polygons,”Can. J. Math.,19, No. 5, 1062–1071 (1967). · Zbl 0153.51802 · doi:10.4153/CJM-1967-096-4
[206] O. Schramm,How to Cage an Egg, Preprint, Cornell Univ. (1990). · Zbl 0726.52003
[207] Z. Soyucok, ”On infinitesimal deformation of the surfaces of revolution,”Bull. Tech. Univ. Istanbul.,88, 303–308 (1985). · Zbl 0633.53007
[208] Z. Soyucok, ”On the infinitesimal rigidity of a convex belt,”Pure Appl. Math. Sci.,1–2, 1–3 (1989). · Zbl 0709.53002
[209] M. Spivak,A Comprehensive Introduction to Differential Geometry, Vol. 5, Publish or Perish, Berkeley (1975). · Zbl 0306.53001
[210] K. Steffen, ”A symmetric flexible Connelly sphere with only nine vertexes,”A Letter in IHES (1978).
[211] J. J. Stoker, ”Geometrical problems concerning polyhedra in the large,”Commun. Pure Appl. Math.,21, No. 2, 119–168 (1968). · Zbl 0159.24301 · doi:10.1002/cpa.3160210203
[212] J. J. Stoker,Differential Geometry, Wiley-Interscience, London (1969).
[213] Sun He-Sheng, ”On problems of the infinitesimal deformation of surfaces of revolution with mixed curvature,”Chin. Ann. Math.,2, 187–199 (1981). · Zbl 0472.35063
[214] Sun He-Sheng, ”Problems of the rigidity of the surfaces with mixed Gauss curvature and boundary value problems for the equations of mixed type,” In:Proc. Beijing Symp. Differ. Geom. and Differ. Equat., Vol. 3, 1441–1450 (1982).
[215] Sun He-Sheng, ”Problems of the deformation of surfaces and the equations of mixed type \(w_{\eta \eta } + sgn\eta w_{\xi \xi } + \tfrac{{m(\eta )}}{{\eta ^2 }}w = 0\) ,”Acta Math. Sinica,26, No. 1, 88–97 (1983). · Zbl 0577.35081
[216] T.-S. Tay, ”Review: Rigidity problems in bar-and-joint frameworks and linkages of rigid bodies,”Struct. Topol.,8, 33–36 (1983).
[217] T.-S. Tay and W. Whiteley, ”Recent advances in the general rigidity of structures,”Struct. Topol.,9, 31–38 (1984). · Zbl 0541.51021
[218] T.-S. Tay and W. Whiteley, ”Generating isostatic frameworks,”Struct. Topol.,11, 21–70 (1985). · Zbl 0574.51025
[219] B. Wegner, ”On the projective invariance of shaky structures in euclidean space,”Acta Mech.,53, No. 3–4, 163–171 (1984). · Zbl 0526.51019 · doi:10.1007/BF01177948
[220] B. Wegner, ”Infinitesimal rigidity of cone-like and cylinder-like frameworks,”Acta Mech.,57, No. 3–4, 253–259 (1985). · Zbl 0544.51015 · doi:10.1007/BF01176923
[221] N. L. White and W. Whiteley, ”The algebraic-geometry of stresses in frameworks,”SIAM J. Alg. Discrete Math.,4, No. 4, 481–511 (1983). · Zbl 0542.51022 · doi:10.1137/0604049
[222] N. L. White and W. Whiteley, ”The algebraic-geometry of motions of bar-and-body frameworks,”SIAM J. Alg. Discrete Math.,8, No. 1, 1–52 (1987). · Zbl 0635.51014 · doi:10.1137/0608001
[223] W. Whiteley, ”Motions of bipartite frameworks,”Struct. Topol.,3, 62–63 (1979).
[224] W. Whiteley, ”Infinitesimal motions of bipartite frameworks,”Pacif. J. Math.,110, 233–255 (1982). · Zbl 0476.70003
[225] W. Whiteley, ”Motions of trusses and bipartite frameworks,”Struct. Topol.,7, 61–68 (1982). · Zbl 0533.73070
[226] W. Whiteley, ”Motions of stresses of projected polyhedra,”Struct. Topol.,7, 13–38 (1982). · Zbl 0536.51014
[227] W. Whiteley, ”Infinitesimally rigid polyhedra. I: Statics of frameworks,”Trans. Amer. Math. Soc.,285, No. 2, 431–465 (1984). · Zbl 0518.52010 · doi:10.1090/S0002-9947-1984-0752486-6
[228] W. Whiteley, ”Infinitesimally rigid polyhedra. II: Modified spherical framework,”Trans. Amer. Math. Soc.,306, No. 1, 115–139 (1988). · Zbl 0657.51014
[229] W. Whiteley,Infinitesimally Rigid Polyhedra. III: Toroidal Frameworks, Preprint, Champlain Regional College, St. Lambert (1985).
[230] W. Whiteley, ”Vertex splitting in isostatic frameworks,”Struct. Topol.,16, 23–30 (1990). · Zbl 0724.52014
[231] W. Whiteley, ”Rigidity and polarity. I: Statics of sheet structures,”Geom. Dedic.,22, No. 3, 329–362 (1987). · Zbl 0618.51006 · doi:10.1007/BF00147940
[232] W. Whiteley, ”Rigidity and polarity. II: Weaving lines and tension frameworks,”Geom. Dedic.,30, No. 3, 255–259 (1989). · Zbl 0675.51008 · doi:10.1007/BF00181341
[233] W. Whiteley, ”Applications of the geometry of rigid structures.” In:Comp., Aided Geom. Reasoning, Vol. I, II (Sofia-Antipolis, 1987), Rocquencourt (1987), pp. 217–254.
[234] W. Wunderlich, ”Wackeldodekaedr,”Ber. Math. Statist. Sek. Forchungszent Graz., No. 140–150, 149/1–149/8 (1980).
[235] W. Wunderlich, ”Neue Wackelikosaedr,”Anz. Osterr. Akad. Wiss. Math. Naturwiss. Kl.,117, No. 1-9, 28–33 (1980). · Zbl 0439.52007
[236] W. Wunderlich, ”Wackelige Doppelpyramiden,”Anz. Osterr. Akad. Wiss. Math. Naturwiss. Kl.,117, No. 1-9, 82–87 (1980). · Zbl 0463.70004
[237] W. Wunderlich, ”Wackelikosaedr,”Geom. Dedic.,11, No. 2, 137–146 (1981). · Zbl 0472.51011 · doi:10.1007/BF00147616
[238] W. Wunderlich, ”Kipp-Ikosaedr,”Elem. Math.,36, No. 3, 153–158 (1981). · Zbl 0476.52008
[239] W. Wunderlich, ”Projective invariance of shaky structures,”Acta Mech.,42, No. 3–4, 171–181 (1982). · Zbl 0526.51018 · doi:10.1007/BF01177190
[240] W. Wunderlich, ”Eine merkwürdige Familie von beweglichen Stabweken,”Elem. Math.,34, No. 6, 132–137 (1979). · Zbl 0447.70008
[241] W. Wunderlich, ”Zur projektiven Invarianz von Waskelstructuren,”Z. Angew. Math. Mech.,60, 703–708 (1980). · Zbl 0459.73060 · doi:10.1002/zamm.19800601209
[242] W. Wunderlich, H. Obrecht, ”Large spatial deformation of rods using generalized variational principles,” In:Nonlinear Finite-Element Analysis in Structural Mechanics, Proc. Europe – U. S. Workshop, Bochum (1980/1981), pp. 185–216.
[243] W. Wunderlich, ”Wackeldodekaeder,”Elem. Math.,37, No. 6, 153–163 (1982). · Zbl 0487.51017
[244] W. Wunderlich, ”Ebene Kurven mit einem beweglichen geschlossenen Sehnenpolygon,”Arch. Math.,38, No. 1, 18–25 (1982). · Zbl 0472.53002 · doi:10.1007/BF01304752
[245] W. Wunderlich, ”Fast bewegliche Oktaeder mit zwei Symmetriebenen,”Rad. Jugosl. Akad. Znan. Umjetn. Mat. Znan.,6, 129–135 (1987).
[246] A. D. Ziebur, ”On a double eigenvalue problem,”Proc. Amer. Math. Soc.,5, No. 2, 201–202 (1954). · Zbl 0055.15404 · doi:10.1090/S0002-9939-1954-0060686-2
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