Apanasov, Boris N. Rigidity of locally symmetric rank one manifolds of infinite volume. arXiv:2401.04104 Preprint, arXiv:2401.04104 [math.GT] (2024). MSC: 22E40 32Gxx 32M15 32Q45 51Mxx 53Cxx 53C35 57M60 57N16 57S30 BibTeX Cite \textit{B. N. Apanasov}, ``Rigidity of locally symmetric rank one manifolds of infinite volume'', Preprint, arXiv:2401.04104 [math.GT] (2024) Full Text: arXiv OA License
Apanasov, Boris N. Hyperbolic 4-cobordisms and group homomorphisms with infinite kernel. (English) Zbl 1232.57018 Atti Semin. Mat. Fis. Univ. Modena Reggio Emilia 57, 31-44 (2010). Reviewer: V. V. Chueshev (Kemerovo) MSC: 57M50 57N13 57R80 22E40 30F40 30F60 32M05 PDFBibTeX XMLCite \textit{B. N. Apanasov}, Atti Semin. Mat. Fis. Univ. Modena Reggio Emilia 57, 31--44 (2010; Zbl 1232.57018)
Apanasov, Boris Infinite index subgroups and finiteness properties of intersections of geometrically finite groups. (English) Zbl 1139.57033 Topology Appl. 154, No. 7, 1245-1253 (2007). MSC: 57S25 20F65 53C35 PDFBibTeX XMLCite \textit{B. Apanasov}, Topology Appl. 154, No. 7, 1245--1253 (2007; Zbl 1139.57033) Full Text: DOI
Apanasov, B. N.; Tetenov, A. V. Deformations of hyperbolic structures and quasi-Fuchsian groups generated by reflections. (English. Russian original) Zbl 1137.53325 Dokl. Math. 74, No. 1, 552-554 (2006); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 409, No. 5, 583-585 (2006). MSC: 53C20 53C30 57S20 PDFBibTeX XMLCite \textit{B. N. Apanasov} and \textit{A. V. Tetenov}, Dokl. Math. 74, No. 1, 552--554 (2006; Zbl 1137.53325); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 409, No. 5, 583--585 (2006) Full Text: DOI
Apanasov, Boris; Kim, Inkang Cartan Angular Invariant and Deformations in Rank One Symmetric Spaces. arXiv:math/0203225 Preprint, arXiv:math/0203225 [math.DG] (2002). MSC: 51M10 57S25 BibTeX Cite \textit{B. Apanasov} and \textit{I. Kim}, ``Cartan Angular Invariant and Deformations in Rank One Symmetric Spaces'', Preprint, arXiv:math/0203225 [math.DG] (2002) Full Text: arXiv
Apanasov, B. N. The action of non-super-rigid lattices in symmetric spaces of rank 1. (English. Russian original) Zbl 1076.53063 Dokl. Math. 62, No. 2, 237-240 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 374, No. 5, 586-589 (2000). Reviewer: Ryszard Deszcz (Wroclaw) MSC: 53C35 53C30 22E40 53C24 32Q45 PDFBibTeX XMLCite \textit{B. N. Apanasov}, Dokl. Math. 62, No. 2, 586--589 (2000; Zbl 1076.53063); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 374, No. 5, 586--589 (2000)
Apanasov, Boris N. Conformal geometry of discrete groups and manifolds. (English) Zbl 0965.57001 de Gruyter Expositions in Mathematics. 32. Berlin: de Gruyter. xiii, 523 p. (2000). Reviewer: Bruno Zimmermann (Trieste) MSC: 57-02 57M50 30-02 30F40 57N16 51-02 32G99 22E40 PDFBibTeX XMLCite \textit{B. N. Apanasov}, Conformal geometry of discrete groups and manifolds. Berlin: de Gruyter (2000; Zbl 0965.57001)
Apanasov, Boris Deformations and rigidity of group representations in rank one symmetric spaces. (English) Zbl 0954.22005 Baik, Young Gheel (ed.) et al., Groups - Korea ’98. Proceedings of the 4th international conference, Pusan, Korea, August 10-16, 1998. Berlin: Walter de Gruyter. 19-38 (2000). Reviewer: Yasuhiro Asoo (Okayama) MSC: 22E40 57M30 57M60 30C65 55R10 PDFBibTeX XMLCite \textit{B. Apanasov}, in: Groups -- Korea '98. Proceedings of the 4th international conference, Pusan, Korea, August 10--16, 1998. Berlin: Walter de Gruyter. 19--38 (2000; Zbl 0954.22005)
Apanasov, Boris Complex hyperbolic manifolds: Rigidity versus flexibility and instability of deformations. (English) Zbl 0970.53040 Choi, Suhyoung (ed.) et al., The proceedings of the conference on geometric structures on manifolds, September 29-October 2, 1997 and the workshop on gauge theory, July 28-August 2, 1997, Seoul, Republic of Korea. Seoul: Seoul National University, Lect. Notes Ser., Seoul. 46, 1-35 (1999). Reviewer: Gueo Grantcharov (Storrs) MSC: 53C55 32Q45 53C24 32G05 57S30 PDFBibTeX XMLCite \textit{B. Apanasov}, in: The proceedings of the conference on geometric structures on manifolds, September 29--October 2, 1997 and the workshop on gauge theory, July 28--August 2, 1997, Seoul, Republic of Korea. Seoul: Seoul National University. 1--35 (1999; Zbl 0970.53040)
Apanasov, B. N. Quasi-symmetric knots and Teichmüller spaces. (English. Russian original) Zbl 0968.30024 Dokl. Math. 55, No. 3, 319-321 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 354, No. 1, 7-10 (1997). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 30F60 30F40 57M25 57M30 PDFBibTeX XMLCite \textit{B. N. Apanasov}, Dokl. Math. 55, No. 3, 7--10 (1997; Zbl 0968.30024); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 354, No. 1, 7--10 (1997)
Apanasov, B. N. Geometry and topology of complex hyperbolic and Cauchy-Riemannian manifolds. (English. Russian original) Zbl 0920.32024 Russ. Math. Surv. 52, No. 5, 895-928 (1997); translation from Usp. Mat. Nauk 52, No. 5, 9-44 (1997). Reviewer: A.V.Chernecky (Odessa) MSC: 32Q45 32V99 32Q15 32V05 32G05 32G07 57Q20 57R77 PDFBibTeX XMLCite \textit{B. N. Apanasov}, Russ. Math. Surv. 52, No. 5, 895--928 (1997; Zbl 0920.32024); translation from Usp. Mat. Nauk 52, No. 5, 9--44 (1997) Full Text: DOI arXiv
Apanasov, Boris Bending deformations of complex hyperbolic surfaces. (English) Zbl 0891.53055 J. Reine Angew. Math. 492, 75-91 (1997). Reviewer: Luis Ugarte (Saragoza) MSC: 53C56 32Gxx 32Q45 22E40 PDFBibTeX XMLCite \textit{B. Apanasov}, J. Reine Angew. Math. 492, 75--91 (1997; Zbl 0891.53055) Full Text: DOI arXiv Crelle EuDML
Apanasov, Boris; Xie, Xiangdong Geometrically finite complex hyperbolic manifolds. (English) Zbl 0912.53027 Int. J. Math. 8, No. 6, 703-757 (1997). Reviewer: W.M.Goldman (College Park) MSC: 53C20 30F40 57S30 20H10 PDFBibTeX XMLCite \textit{B. Apanasov} and \textit{X. Xie}, Int. J. Math. 8, No. 6, 703--757 (1997; Zbl 0912.53027) Full Text: DOI
Apanasov, B.; Xie, X. Manifolds of negative curvature and nilpotent groups. (English) Zbl 0942.53024 Dimiev, Stancho (ed.) et al., Topics in complex analysis, differential geometry and mathematical physics. Third international workshop on complex structures and vector fields, St. Konstantin, Bulgaria, August 23-29, 1996. Singapore: World Scientific. 105-115 (1997). Reviewer: A.Szczepański (Gdańsk) MSC: 53C20 57M50 22E25 53C30 PDFBibTeX XMLCite \textit{B. Apanasov} and \textit{X. Xie}, in: Topics in complex analysis, differential geometry and mathematical physics. Third international workshop on complex structures and vector fields, St. Konstantin, Bulgaria, August 23--29, 1996. Singapore: World Scientific. 105--115 (1997; Zbl 0942.53024)
Apanasov, Boris Varieties of discrete representations of hyperbolic \(3\)-lattices. (English) Zbl 0857.20019 Ershov, Y. (ed.) et al., Algebra. Proceedings of the third international conference on algebra, Krasnoyarsk, Russia, August 23-28, 1993. Berlin: Walter de Gruyter. 7-19 (1996). Reviewer: V.L.Popov (Moskva) MSC: 20G05 57M05 22E40 57M30 57M60 30C65 55R10 PDFBibTeX XMLCite \textit{B. Apanasov}, in: Algebra. Proceedings of the third international conference on algebra, Krasnoyarsk, Russia, August 23-28, 1993. Berlin: Walter de Gruyter. 7--19 (1996; Zbl 0857.20019)
Apanasov, Boris N.; Gutsul, Ivan S. Greatly symmetric totally geodesic surfaces and closed hyperbolic 3- manifolds which share a fundamental polyhedron. (English) Zbl 0836.57007 Topology ’90, Contrib. Res. Semester Low Dimensional Topol., Columbus/OH (USA) 1990, Ohio State Univ. Math. Res. Inst. Publ. 1, 37-53 (1992). Reviewer: Bernd Wegner (Berlin) MSC: 57M60 53C20 57S30 57M50 57S17 PDFBibTeX XMLCite \textit{B. N. Apanasov} and \textit{I. S. Gutsul}, Ohio State Univ. Math. Res. Inst. Publ. 1, 37--53 (1992; Zbl 0836.57007)
Apanasov, Boris N. Nonstandard uniformized conformal structures on hyperbolic manifolds. (English) Zbl 0731.53010 Invent. Math. 105, No. 1, 137-152 (1991). Reviewer: R.Sulanke (Berlin) MSC: 53A30 53C15 57S30 PDFBibTeX XMLCite \textit{B. N. Apanasov}, Invent. Math. 105, No. 1, 137--152 (1991; Zbl 0731.53010) Full Text: DOI EuDML
Apanasov, Boris N. Discrete groups in space and uniformization problems. Transl. from the Russian. Rev. and enlarged transl. Rev. and enlarged transl. (English) Zbl 0732.57001 Mathematics and Its Applications, Soviet Series, 40. Dordrecht etc.: Kluwer Academic Publishers. xvii, 482 p. Dfl. 295.00; $ 193.00; £99.00 (1991). Reviewer: E.Molnár (Budapest) MSC: 57-02 57S30 57N15 30F40 PDFBibTeX XMLCite \textit{B. N. Apanasov}, Discrete groups in space and uniformization problems. Transl. from the Russian. Rev. and enlarged transl. Dordrecht etc.: Kluwer Academic Publishers (1991; Zbl 0732.57001)
Apanasov, B. N. Geometry of discrete groups and manifolds. (Geometriya diskretnykh grupp i mnogoobrazij.) (Russian. English summary) Zbl 0732.57002 Moskva: Nauka. 428 p. R. 5.60 (1991). Reviewer: M.Craioveanu (Timişoara) MSC: 57-02 57S30 32G07 57M50 30F50 PDFBibTeX XMLCite \textit{B. N. Apanasov}, Geometriya diskretnykh grupp i mnogoobrazij (Russian). Moskva: Nauka (1991; Zbl 0732.57002)
Apanasov, B. N. Addendum to: The geometry of Nielsen’s hull for a Kleinian group in space and quasiconformal mappings. (English) Zbl 0709.53026 Ann. Global Anal. Geom. 8, No. 2, 215 (1990). MSC: 53C20 53A30 30C62 52A55 30F40 53C22 PDFBibTeX XMLCite \textit{B. N. Apanasov}, Ann. Global Anal. Geom. 8, No. 2, 215 (1990; Zbl 0709.53026) Full Text: DOI
Apanasov, B. N. Bending and stamping deformations of hyperbolic manifolds. (English) Zbl 0705.53013 Ann. Global Anal. Geom. 8, No. 1, 3-12 (1990). Reviewer: E.Molnár MSC: 53A30 53C10 57S25 PDFBibTeX XMLCite \textit{B. N. Apanasov}, Ann. Global Anal. Geom. 8, No. 1, 3--12 (1990; Zbl 0705.53013) Full Text: DOI
Apanasov, B. N.; Gutsul, I. S. Closed hyperbolic 3-manifolds of equal volumes. (Russian) Zbl 0755.52004 Mat. Issled. 119, 13-28 (1990). Reviewer: Emil Molnár (Budapest) MSC: 52B70 57S30 30F40 PDFBibTeX XMLCite \textit{B. N. Apanasov} and \textit{I. S. Gutsul}, Mat. Issled. 119, 13--28 (1990; Zbl 0755.52004) Full Text: EuDML
Apanasov, B. N.; Tetenov, A. V. Topology of hyperbolic, geometrically finite 4-manifolds with boundary. (Russian) Zbl 0836.57025 Nuriev, B. R. (ed.), Baku international topological conference held at Baku (USSR), October 3-9, 1987. Proceedings. Baku: Ehlm, 19-25 (1989). Reviewer: V.Yu.Rovenskij (Krasnoyarsk) MSC: 57S30 57R90 30F40 22E40 57M30 57N13 PDFBibTeX XMLCite \textit{B. N. Apanasov} and \textit{A. V. Tetenov}, in: Bakinskaya mezhdunarodnaya topologicheskaya konferentsiya. Baku (SSSR), 3-9 oktyabrya 1987 g. Trudy. Baku: Ehlm. 19--25 (1989; Zbl 0836.57025)
Apanasov, Boris Nikolaevich Doubles of atoroidal manifolds, their conformal uniformization and deformations. (English) Zbl 0674.32012 Deformations of mathematical structures, complex analysis with physical applications, Sel. Pap. Semin., Łódź/Poland 1985/87, 93-114 (1989). Reviewer: V.L.Hansen MSC: 32Q45 30F40 57N15 32G07 PDFBibTeX XML
Apanasov, B. N. The geometry of Nielsen’s hull for a Kleinian group in space and quasi- conformal mappings. (English) Zbl 0662.53039 Ann. Global Anal. Geom. 6, No. 3, 207-230 (1988). Reviewer: B.N.Apanasov MSC: 53C20 53A30 30C62 52A55 30F40 53C22 PDFBibTeX XMLCite \textit{B. N. Apanasov}, Ann. Global Anal. Geom. 6, No. 3, 207--230 (1988; Zbl 0662.53039) Full Text: DOI
Apanasov, B. N.; Tetenov, A. V. Nontrivial cobordisms with geometrically finite hyperbolic structure. (English) Zbl 0627.57015 J. Differ. Geom. 28, No. 3, 407-422 (1988). MSC: 57N13 57R75 57N10 57R80 PDFBibTeX XMLCite \textit{B. N. Apanasov} and \textit{A. V. Tetenov}, J. Differ. Geom. 28, No. 3, 407--422 (1988; Zbl 0627.57015) Full Text: DOI
Apanasov, B. N. Deformations of conformal structures on manifolds, connected with totally geodesic submanifolds. (English. Russian original) Zbl 0633.57008 Sov. Math., Dokl. 35, 242-245 (1987); translation from Dokl. Akad. Nauk SSSR 293, 14-17 (1987). Reviewer: J.Szilasi MSC: 57N15 30F40 20H10 PDFBibTeX XMLCite \textit{B. N. Apanasov}, Sov. Math., Dokl. 35, 242--245 (1987; Zbl 0633.57008); translation from Dokl. Akad. Nauk SSSR 293, 14--17 (1987)
Apanasov, B. N. Filling a space by polyhedra and deformation of incomplete hyperbolic structures. (English. Russian original) Zbl 0667.57025 Sib. Math. J. 27, 473-485 (1986); translation from Sib. Mat. Zh. 27, No. 4(158), 3-19 (1986). MSC: 57S30 52C17 22E40 57Q99 57M99 PDFBibTeX XMLCite \textit{B. N. Apanasov}, Sib. Math. J. 27, 473--485 (1986; Zbl 0667.57025); translation from Sib. Mat. Zh. 27, No. 4(158), 3--19 (1986) Full Text: DOI
Apanasov, B. N. Method of maximal disks in the theory of Kleinian groups and its application. (Russian) Zbl 0623.57029 Prepr., Akad. Nauk SSSR, Sib. Otd., Inst. Mat. 19, 48 p. (1986). Reviewer: N. V. Ivanov (St. Petersburg) MSC: 57S30 30F40 20H10 57N15 53C30 22E40 PDFBibTeX XML
Apanasov, B. N. Deformations of hyperbolic structures without the completeness condition. (English) Zbl 0581.58040 Z. Anal. Anwend. 5, 99-110 (1986). MSC: 58H15 22E40 05B45 32Gxx 52C17 PDFBibTeX XMLCite \textit{B. N. Apanasov}, Z. Anal. Anwend. 5, 99--110 (1986; Zbl 0581.58040) Full Text: DOI
Apanasov, B. N. The effect of dimension four in Aleksandrov’s problem of filling a space by polyhedra. (English) Zbl 0573.52024 Ann. Global Anal. Geom. 4, No. 2, 243-261 (1986). MSC: 52C17 51M20 58H15 05B45 22E40 32G99 PDFBibTeX XMLCite \textit{B. N. Apanasov}, Ann. Global Anal. Geom. 4, No. 2, 243--261 (1986; Zbl 0573.52024) Full Text: DOI
Apanasov, B. N. A condition of conformal rigidity for hyperbolic manifolds with a border. (Russian) Zbl 0612.57021 Complex analysis and applications, Proc. Int. Conf., Varna/Bulg. 1983, 278-285 (1985). Reviewer: J.Ławrynowicz (Łódź) MSC: 57S30 57N10 30F40 22E40 20H10 53C30 51M10 30C62 PDFBibTeX XML
Apanasov, Boris N. Cusp ends of hyperbolic manifolds. (English) Zbl 0537.57007 Ann. Global Anal. Geom. 3, No. 1, 1-11 (1985). MSC: 57N15 51M10 22E40 PDFBibTeX XMLCite \textit{B. N. Apanasov}, Ann. Global Anal. Geom. 3, No. 1, 1--11 (1985; Zbl 0537.57007) Full Text: DOI
Apanasov, B. N. Parabolic vertices and finiteness properties for Kleinian groups in space. (English) Zbl 0581.57007 Sib. Math. J. 25, 516-530 (1984). MSC: 57N15 57S30 22E40 51M10 PDFBibTeX XMLCite \textit{B. N. Apanasov}, Sib. Math. J. 25, 516--530 (1984; Zbl 0581.57007) Full Text: DOI
Apanasov, B. N. Parabolic vertices and the property of finiteness for Kleinian groups in space. (Russian) Zbl 0567.57008 Sib. Mat. Zh. 25, No. 4(146), 9-27 (1984). MSC: 57N15 57S30 51M10 22E40 PDFBibTeX XMLCite \textit{B. N. Apanasov}, Sib. Mat. Zh. 25, No. 4(146), 9--27 (1984; Zbl 0567.57008) Full Text: EuDML
Apanasov, B. N. Discrete transformation groups and manifold structures. (Russian) Zbl 0571.57002 Akademiya Nauk SSSR Sibirskoe Otdelenie. Institut Matematiki. Novosibirsk: Izdatel’stvo “Nauka” Sibirskoe Otdelenie. 242 p. R. 1.70 (1983). MSC: 57-02 57N15 22E40 30F40 57S30 57N10 32Q45 32G07 PDFBibTeX XML
Apanasov, B. N. Discrete transformations groups and manifold structures. (Diskretnye gruppy preobrazovanij i struktury mnogoobrazij.) (Russian) Zbl 0535.57002 Akademiya Nauk SSSR Sibirskoe Otdelenie. Institut Matematiki. Novosibirsk: Izdatel’stvo “Nauka” Sibirskoe Otdelenie. 242 p. R. 1.70 (1983). Reviewer: P.Caraman MSC: 57-02 57S30 30F40 30C62 30F35 53C20 53C35 57N20 58H15 32G07 PDFBibTeX XML
Apanasov, B. N. Geometrically finite hyperbolic structures on manifolds. (English) Zbl 0531.57012 Ann. Global Anal. Geom. 1, No. 3, 1-22 (1983). MSC: 57N15 53C30 30F40 51M10 22E40 PDFBibTeX XMLCite \textit{B. N. Apanasov}, Ann. Global Anal. Geom. 1, No. 3, 1--22 (1983; Zbl 0531.57012) Full Text: DOI
Apanasov, Boris Nikolaevich Condition of conformal rigidity of hyperbolic manifolds with boundaries. (English) Zbl 0527.57024 Analytic functions, Proc. Conf., Błażejewko/Pol. 1982, Lect. Notes Math. 1039, 1-8 (1983). MSC: 57S30 57N10 30F40 22E40 20H10 53C30 51M10 PDFBibTeX XML
Apanasov, B. N. On Mostow’s rigidity theorem. (English. Russian original) Zbl 0414.20038 Sov. Math., Dokl. 19, 1408-1412 (1978); translation from Dokl. Akad. Nauk SSSR 243, 829-832 (1978). MSC: 20H10 30C62 30F40 32G15 PDFBibTeX XMLCite \textit{B. N. Apanasov}, Sov. Math., Dokl. 19, 1408--1412 (1978; Zbl 0414.20038); translation from Dokl. Akad. Nauk SSSR 243, 829--832 (1978)