de León, Manuel; Gaset, Jordi; Laínz, Manuel; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso Higher-order contact mechanics. (English) Zbl 1457.37083 Ann. Phys. 425, Article ID 168396, 34 p. (2021). MSC: 37J55 53D10 70H50 70G75 70G45 70H03 70H05 PDF BibTeX XML Cite \textit{M. de León} et al., Ann. Phys. 425, Article ID 168396, 34 p. (2021; Zbl 1457.37083) Full Text: DOI arXiv OpenURL
Esen, Oğul; Kudeyt, Mahmut; Sütlü, Serkan Second order Lagrangian dynamics on double cross product groups. (English) Zbl 1470.22008 J. Geom. Phys. 159, Article ID 103934, 19 p. (2021). MSC: 22E70 70H50 37J37 PDF BibTeX XML Cite \textit{O. Esen} et al., J. Geom. Phys. 159, Article ID 103934, 19 p. (2021; Zbl 1470.22008) Full Text: DOI arXiv OpenURL
Kadioğlu, Hülya Canonical involution on double jet bundles. (English) Zbl 1424.58001 Turk. J. Math. 41, No. 4, 854-868 (2017). MSC: 58A20 55R25 58A05 PDF BibTeX XML Cite \textit{H. Kadioğlu}, Turk. J. Math. 41, No. 4, 854--868 (2017; Zbl 1424.58001) Full Text: DOI arXiv OpenURL
Tehseen, Naghmana Geometric symmetry techniques for partial differential equations. (Abstract of thesis). (English) Zbl 1339.35015 Bull. Aust. Math. Soc. 93, No. 2, 342-344 (2016). MSC: 35A30 58A17 58A15 58A10 58A20 58A30 58J72 35G20 35K25 35K59 35Q53 PDF BibTeX XML Cite \textit{N. Tehseen}, Bull. Aust. Math. Soc. 93, No. 2, 342--344 (2016; Zbl 1339.35015) Full Text: DOI OpenURL
Kurek, Jan; Mikulski, Włodzimierz M. The natural transformations between \(r\)-tangent and \(r\)-cotangent bundles over Riemannian manifolds. (English) Zbl 1312.58003 Ann. Univ. Mariae Curie-Skłodowska, Sect. A 68, No. 2, 59-64 (2014). MSC: 58A20 58A32 PDF BibTeX XML Cite \textit{J. Kurek} and \textit{W. M. Mikulski}, Ann. Univ. Mariae Curie-Skłodowska, Sect. A 68, No. 2, 59--64 (2014; Zbl 1312.58003) Full Text: DOI OpenURL
Shurygin, V. V.; Vashurina, L. A. Connections in the second order tangent bundle with extended structure group. (English) Zbl 1317.58007 Lobachevskii J. Math. 35, No. 3, 264-280 (2014). Reviewer: Fortuné Massamba (Pietermaritzburg) MSC: 58A32 53B15 53C10 58A20 PDF BibTeX XML Cite \textit{V. V. Shurygin} and \textit{L. A. Vashurina}, Lobachevskii J. Math. 35, No. 3, 264--280 (2014; Zbl 1317.58007) Full Text: DOI OpenURL
Colombo, Leonardo; Martín de Diego, David Higher-order variational problems on Lie groups and optimal control applications. (English) Zbl 1307.70018 J. Geom. Mech. 6, No. 4, 451-478 (2014). MSC: 70H50 70H45 70G65 PDF BibTeX XML Cite \textit{L. Colombo} and \textit{D. Martín de Diego}, J. Geom. Mech. 6, No. 4, 451--478 (2014; Zbl 1307.70018) Full Text: DOI OpenURL
Jóźwikowski, Michał; Rotkiewicz, Mikołaj Bundle-theoretic methods for higher-order variational calculus. (English) Zbl 1308.58002 J. Geom. Mech. 6, No. 1, 99-120 (2014). Reviewer: Dumitru Motreanu (Perpignan) MSC: 58A20 58E30 70H50 PDF BibTeX XML Cite \textit{M. Jóźwikowski} and \textit{M. Rotkiewicz}, J. Geom. Mech. 6, No. 1, 99--120 (2014; Zbl 1308.58002) Full Text: DOI arXiv OpenURL
Bruce, Andrew James On curves and jets of curves on supermanifolds. (English) Zbl 1340.58002 Arch. Math., Brno 50, No. 2, 115-130 (2014). Reviewer: Josef Šilhan (Brno) MSC: 58A20 58A32 58A50 PDF BibTeX XML Cite \textit{A. J. Bruce}, Arch. Math., Brno 50, No. 2, 115--130 (2014; Zbl 1340.58002) Full Text: DOI arXiv OpenURL
Gracia-Saz, Alfonso; Mackenzie, Kirill Charles Howard Duality functors for triple vector bundles. (English) Zbl 1180.53082 Lett. Math. Phys. 90, No. 1-3, 175-200 (2009). MSC: 53D17 18D05 18D35 20E99 55R99 70H50 PDF BibTeX XML Cite \textit{A. Gracia-Saz} and \textit{K. C. H. Mackenzie}, Lett. Math. Phys. 90, No. 1--3, 175--200 (2009; Zbl 1180.53082) Full Text: DOI arXiv OpenURL
Kurek, J.; Mikulski, W. M. Canonical symplectic structures on the \(r\)-th order tangent bundle of a symplectic manifold. (English) Zbl 1141.58002 Extr. Math. 21, No. 2, 159-166 (2006). Reviewer: Svatopluk Krysl (Praha) MSC: 58A30 53D05 58A20 PDF BibTeX XML Cite \textit{J. Kurek} and \textit{W. M. Mikulski}, Extr. Math. 21, No. 2, 159--166 (2006; Zbl 1141.58002) Full Text: EuDML OpenURL
Pond, R. Greg Higher order differential lift equations over manifolds. (English) Zbl 0889.58008 Int. J. Theor. Phys. 36, No. 6, 1369-1385 (1997). Reviewer: V.L.Hansen (Lyngby) MSC: 58A30 58B99 PDF BibTeX XML Cite \textit{R. G. Pond}, Int. J. Theor. Phys. 36, No. 6, 1369--1385 (1997; Zbl 0889.58008) Full Text: DOI OpenURL
Miron, Radu The geometry of higher-order Lagrange spaces. Applications to mechanics and physics. (English) Zbl 0877.53001 Fundamental Theories of Physics. 82. Dordrecht: Kluwer Academic Publishers. xv, 332 p. (1997). Reviewer: M.de León (Madrid) MSC: 53-02 37J99 53C15 53C60 70Hxx PDF BibTeX XML Cite \textit{R. Miron}, The geometry of higher-order Lagrange spaces. Applications to mechanics and physics. Dordrecht: Kluwer Academic Publishers (1997; Zbl 0877.53001) OpenURL
Glizburg, Vita I. The Cartan connection as an invariant of differential system. (English) Zbl 0881.34007 Janyška, Josef (ed.) et al., Differential geometry and applications. Proceedings of the 6th international conference, Brno, Czech Republic, August 28–September 1, 1995. Brno: Masaryk University. 267-274 (1996). Reviewer: M.Rahula (Tartu) MSC: 34A26 53C07 54C05 53C15 53B20 53B21 PDF BibTeX XML Cite \textit{V. I. Glizburg}, in: Differential geometry and applications. Proceedings of the 6th international conference, Brno, Czech Republic, August 28--September 1, 1995. Brno: Masaryk University. 267--274 (1996; Zbl 0881.34007) OpenURL
Kolář, Ivan Torsion-free connections on higher order frame bundles. (English) Zbl 0901.53016 Tamássy, L. (ed.) et al., New developments in differential geometry. Proceedings of the colloquium on differential geometry, Debrecen, Hungary, July 26-30, 1994. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 350, 233-241 (1996). Reviewer: P.Michor (Wien) MSC: 53C05 58A20 58A30 PDF BibTeX XML Cite \textit{I. Kolář}, Math. Appl., Dordr. 350, 233--241 (1996; Zbl 0901.53016) OpenURL
Tunitskij, D. V. On the contact linearization of Monge-Ampère equations. (English. Russian original) Zbl 0881.35024 Izv. Math. 60, No. 2, 425-451 (1996); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 60, No. 2, 195-220 (1996). MSC: 35G20 58J72 58A30 PDF BibTeX XML Cite \textit{D. V. Tunitskij}, Izv. Math. 60, No. 2, 425--451 (1996; Zbl 0881.35024); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 60, No. 2, 195--220 (1996) Full Text: DOI OpenURL
de León, Manuel; Martín de Diego, David Symmetries and constants of the motion for higher-order Lagrangian systems. (English) Zbl 0845.70012 J. Math. Phys. 36, No. 8, 4138-4161 (1995). MSC: 70H50 70H03 70G45 70G65 PDF BibTeX XML Cite \textit{M. de León} and \textit{D. Martín de Diego}, J. Math. Phys. 36, No. 8, 4138--4161 (1995; Zbl 0845.70012) Full Text: DOI OpenURL
Şandru, Ovidiu-Ilie Local Hamilton-Lagrange structures. Application in the partial differential equations theory. (English) Zbl 0888.58001 Semin. Mec., Univ. Timiș., Fac. Mat. 42, 71 p. (1994). MSC: 58A05 58A30 35G99 53C15 32C15 83C05 83C22 PDF BibTeX XML Cite \textit{O.-I. Şandru}, Semin. Mec., Univ. Timiș., Fac. Mat. 42, 71\,p. (1994; Zbl 0888.58001) OpenURL
Miron, Radu; Atanasiu, Gheorghe Compendium on the higher order Lagrange spaces: The geometry of \(k\)-osculator bundles. Prolongation of the Riemannian, Finslerian and Lagrangian structures. Lagrange spaces \(L^{k(n)}\). (English) Zbl 0851.53012 Tensor, New Ser. 53, 39-57 (1993). Reviewer: M.Anastasiei (Iaşi) MSC: 53B40 58A20 53C60 53B15 53A55 58A30 PDF BibTeX XML Cite \textit{R. Miron} and \textit{G. Atanasiu}, Tensor, New Ser. 53, 39--57 (1993; Zbl 0851.53012) OpenURL
Gancarzewicz, Jacek; Kolář, Ivan Natural affinors on the extended \(r\)-th order tangent bundles. (English) Zbl 0791.58009 Bureš, J. (ed.) et al., The proceedings of the 11th winter school on geometry and physics held in Srní, Czechoslovakia, January 5-12, 1991. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 30, 95-100 (1993). Reviewer: J.Kubarski (Łódź) MSC: 58A30 58A20 PDF BibTeX XML Cite \textit{J. Gancarzewicz} and \textit{I. Kolář}, in: The proceedings of the 11th winter school geometry and physics held in Srní, Czechoslovakia, January 5-12, 1991. Palermo: Circolo Matematico di Palermo. 95--100 (1993; Zbl 0791.58009) OpenURL
Ran, Ziv Derivatives of moduli. (English) Zbl 0785.14003 Int. Math. Res. Not. 1993, No. 4, 93-106 (1993). Reviewer: V.K.Vedernikov (Moskva) MSC: 14D20 14D15 PDF BibTeX XML Cite \textit{Z. Ran}, Int. Math. Res. Not. 1993, No. 4, 93--106 (1993; Zbl 0785.14003) Full Text: DOI OpenURL
de León, Manuel; Rodrigues, Paulo R. Higher-order mechanical systems with constraints. (English) Zbl 0766.58019 Int. J. Theor. Phys. 31, No. 7, 1303-1313 (1992). Reviewer: I.Kolář (Brno) MSC: 37J99 53C15 70H99 PDF BibTeX XML Cite \textit{M. de León} and \textit{P. R. Rodrigues}, Int. J. Theor. Phys. 31, No. 7, 1303--1313 (1992; Zbl 0766.58019) Full Text: DOI OpenURL
Cariñena, José F.; López, Carlos; Martínez, Eduardo Sections along a map applied to higher-order Lagrangian mechanics. Noether’s theorem. (English) Zbl 0745.58006 Acta Appl. Math. 25, No. 2, 127-151 (1991). Reviewer: J.Chrastina (Brno) MSC: 58A20 37J99 70H05 70H03 PDF BibTeX XML Cite \textit{J. F. Cariñena} et al., Acta Appl. Math. 25, No. 2, 127--151 (1991; Zbl 0745.58006) OpenURL
Radivoiovici-Tatoiu, Monica Vector bundles structures on the acceleration bundle \(T^ 2 M\). (English) Zbl 0797.53025 Gheorghe, Atanasiu (ed.), The Proceedings of the sixth national seminar on Finsler, Lagrange and Hamilton spaces, Brasov, Romania, 1990. Brasov: Societatea de Stiinte Matematice din Romania Universitatea Transilvania Brasov, 129-136 (1990). Reviewer: E.Vassiliou (Athens) MSC: 53C05 55R10 PDF BibTeX XML Cite \textit{M. Radivoiovici-Tatoiu}, in: The Proceedings of the sixth national seminar on Finsler, Lagrange and Hamilton spaces, Brasov, Romania, 1990. Brasov: Societatea de Stiinte Matematice din Romania Universitatea Transilvania Brasov. 129--136 (1990; Zbl 0797.53025) OpenURL
Sarlet, W. Adjoint symmetries of second-order differential equations and generalizations. (English) Zbl 0787.58018 Janyška, Josef (ed.) et al., Differential geometry and its applications. International conference, Brno, Czechoslovakia, 27 Aug. - 2 Sept. 1989. Singapore: World Scientific. 412-421 (1990). MSC: 37J99 37C80 70H03 PDF BibTeX XML Cite \textit{W. Sarlet}, in: Differential geometry and its applications. International conference, Brno, Czećhoslovakia, 27 Aug. - 2. Sept. 1989. Singapore: World Scientific. 412--421 (1990; Zbl 0787.58018) OpenURL
de León, Manuel; Rodrigues, Paulo R. Equivalence of degenerate Lagrangians of higher order. (English) Zbl 0810.58010 Janyška, Josef (ed.) et al., Differential geometry and its applications. International conference, Brno, Czechoslovakia, 27 Aug. - 2 Sept. 1989. Singapore: World Scientific. 255-264 (1990). Reviewer: J.J.Telega (Warszawa) MSC: 58E99 49Q99 PDF BibTeX XML Cite \textit{M. de León} and \textit{P. R. Rodrigues}, in: Differential geometry and its applications. International conference, Brno, Czećhoslovakia, 27 Aug. - 2. Sept. 1989. Singapore: World Scientific. 255--264 (1990; Zbl 0810.58010) OpenURL
Gancarzewicz, Jacek; Mahi, Salima Lifts of 1-forms to the tangent bundle of higher order. (English) Zbl 0729.58003 Czech. Math. J. 40(115), No. 3, 397-407 (1990). Reviewer: M.de León (Madrid) MSC: 58A10 58A20 PDF BibTeX XML Cite \textit{J. Gancarzewicz} and \textit{S. Mahi}, Czech. Math. J. 40(115), No. 3, 397--407 (1990; Zbl 0729.58003) Full Text: EuDML OpenURL
Mikulski, Włodzimierz M. Natural transformations of Weil functors into bundle functors. (English) Zbl 0715.57013 Geometry and physics, Proc. 9th Winter Sch., Srní/Czech. 1989, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 22, 177-191 (1990). Reviewer: J.Kubarski MSC: 57R22 55R10 58A20 PDF BibTeX XML OpenURL
Burlakov, M. P. Clifford structures of higher orders. (Russian) Zbl 0816.58003 Differ. Geom. Mnogoobr. Figur 20, 23-27 (1989). Reviewer: A.V.Aminova (Kazan’) MSC: 58A30 15A66 57R25 PDF BibTeX XML Cite \textit{M. P. Burlakov}, Differ. Geom. Mnogoobr. Figur 20, 23--27 (1989; Zbl 0816.58003) OpenURL
de Leon, Manuel; Lacomba, Ernesto A. Lagrangian submanifolds and higher-order mechanical systems. (English) Zbl 0719.53017 J. Phys. A, Math. Gen. 22, No. 18, 3809-3820 (1989). MSC: 53C15 37J99 PDF BibTeX XML Cite \textit{M. de Leon} and \textit{E. A. Lacomba}, J. Phys. A, Math. Gen. 22, No. 18, 3809--3820 (1989; Zbl 0719.53017) Full Text: DOI OpenURL
de Andrés, Luis C.; de León, Manuel; Rodrigues, Paulo R. Connections on tangent bundles of higher order. (English) Zbl 0701.53050 Demonstr. Math. 22, No. 3, 607-632 (1989). Reviewer: L.A.Cordero MSC: 53C05 53C15 PDF BibTeX XML Cite \textit{L. C. de Andrés} et al., Demonstr. Math. 22, No. 3, 607--632 (1989; Zbl 0701.53050) OpenURL
Zharinov, V. V. On Bäcklund correspondences. (English. Russian original) Zbl 0683.35005 Math. USSR, Sb. 64, No. 1, 277-293 (1989); translation from Mat. Sb., Nov. Ser. 136(178), No. 2(6), 274-291 (1988). Reviewer: J.Tian MSC: 35A30 35L65 37K35 35G10 35K25 58A15 58J72 58A30 58D25 35G20 PDF BibTeX XML Cite \textit{V. V. Zharinov}, Math. USSR, Sb. 64, No. 1, 277--293 (1989; Zbl 0683.35005); translation from Mat. Sb., Nov. Ser. 136(178), No. 2(6), 274--291 (1988) Full Text: DOI OpenURL
de León, Manuel; LaComba, Ernesto A. Les sous-variétés lagrangiennes dans la dynamique lagrangienne d’ordre supérieur. (Lagrangian submanifolds and higher-order Lagrangian dynamics). (French. English summary) Zbl 0646.70015 C. R. Acad. Sci., Paris, Sér. II 307, No. 10, 1137-1139 (1988). MSC: 70H03 37J99 PDF BibTeX XML Cite \textit{M. de León} and \textit{E. A. LaComba}, C. R. Acad. Sci., Paris, Sér. II 307, No. 10, 1137--1139 (1988; Zbl 0646.70015) OpenURL
de Andrés, Luis C.; de León, Manuel Almost complex structures on the tangent bundle of odd order. (Spanish. English summary) Zbl 0646.53032 Proc. 11th Span.-Port. Conf. Math., Badajoz/Spain 1986, Vol. 2, Publ. Dep. Mat. Univ. Extremadura 18, 17-26 (1987). Reviewer: P.R.Rodrigues MSC: 53C15 PDF BibTeX XML OpenURL
de León, Manuel; Rodrigues, Paulo R. Almost tangent geometry and higher order mechanical systems. (English) Zbl 0637.58005 Differential geometry and its applications, Proc. Conf., Brno/Czech. 1986, Math. Appl., East Eur. Ser. 27, 179-195 (1987). Reviewer: E.A.Lacomba MSC: 37J99 53C15 70H03 PDF BibTeX XML OpenURL
de León, Manuel; Rodrigues, Paulo R. A contribution to the global formulation of the higher-order Poincaré- Cartan form. (English) Zbl 0637.53056 Lett. Math. Phys. 14, 353-362 (1987). Reviewer: I.Kolář MSC: 53C15 37J99 70H99 PDF BibTeX XML Cite \textit{M. de León} and \textit{P. R. Rodrigues}, Lett. Math. Phys. 14, 353--362 (1987; Zbl 0637.53056) Full Text: DOI OpenURL
Ôike, Hiroshi Non-existence of higher order non-singular immersions of complex hypersurfaces into Euclidean spaces. (English) Zbl 0628.57018 Hokkaido Math. J. 16, 191-200 (1987). Reviewer: Y.B.Shen MSC: 57R42 57R20 PDF BibTeX XML Cite \textit{H. Ôike}, Hokkaido Math. J. 16, 191--200 (1987; Zbl 0628.57018) Full Text: DOI OpenURL
García, P. L.; Muñoz, J. On the geometrical structure of higher order variational calculus. (English) Zbl 0569.58008 Modern developments in analytical mechanics, Vol. I: Geometrical dynamics, Proc. IUTAM-ISIMM Symp., Torino/Italy 1982, 127-147 (1983). Reviewer: Y.L.Pan MSC: 58E30 37-XX PDF BibTeX XML OpenURL
Yamaguchi, Keizo Geometrization of jet bundles. (English) Zbl 0561.58002 Hokkaido Math. J. 12, 27-40 (1983). Reviewer: V.Oproiu MSC: 58A20 58A15 58A30 PDF BibTeX XML Cite \textit{K. Yamaguchi}, Hokkaido Math. J. 12, 27--40 (1983; Zbl 0561.58002) Full Text: DOI OpenURL
Szeptycki, P. Vector bundles on subcartesian spaces. (English) Zbl 0531.58007 Ann. Pol. Math. 42, 349-368 (1983). Reviewer: V.Oproiu MSC: 58A40 55R25 PDF BibTeX XML Cite \textit{P. Szeptycki}, Ann. Pol. Math. 42, 349--368 (1983; Zbl 0531.58007) Full Text: DOI OpenURL
Maki, Haruo On the extendibility of vector bundles over the lens spaces and the projective spaces. (English) Zbl 0519.55013 Hiroshima Math. J. 13, 1-28 (1983). MSC: 55R25 55S25 55R50 55S35 55N15 55S05 55R40 PDF BibTeX XML Cite \textit{H. Maki}, Hiroshima Math. J. 13, 1--28 (1983; Zbl 0519.55013) OpenURL
Kobayashi, Teiichi Higher order nonsingular immersions in lens spaces mod 3. (English) Zbl 0504.57014 Proc. Japan Acad., Ser. A 57, 503-506 (1981). MSC: 57R42 57R20 55R25 PDF BibTeX XML Cite \textit{T. Kobayashi}, Proc. Japan Acad., Ser. A 57, 503--506 (1981; Zbl 0504.57014) Full Text: DOI OpenURL
Szapiro, Tomasz Geodesic fields in the calculus of variations of multiple integrals depending on derivatives of higher order. (English) Zbl 0507.49028 Differential geometrical methods in mathematical physics, Proc. Conf. Aix-en-Provence and Salamanca 1979, Lect. Notes Math. 836, 504-511 (1980). MSC: 49Q20 58E10 37J99 49Q15 53C22 44A15 58A30 PDF BibTeX XML OpenURL
Fiby, Rudolf The structure of tangentors and their morphisms. (English) Zbl 0393.58002 Czech. Math. J. 28(103), 272-285 (1978). MSC: 58A99 18F15 58A20 PDF BibTeX XML Cite \textit{R. Fiby}, Czech. Math. J. 28(103), 272--285 (1978; Zbl 0393.58002) Full Text: EuDML OpenURL
Kaĭzer, V. V.; Kruglyakov, L. Z. Tangential subspaces and higher order characteristics Pfaffian manifolds of multidimensional planes. (Russian) Zbl 0482.58003 Geom. Sb. 14, Tr. Tomsk. Ordena Krasnogo Znameni Gos. Univ. Im. V. V. Kuĭbysheva 255, 47-81 (1974). Reviewer: J. Virsik (M.R. 52, 11970) MSC: 58A15 58A30 53A20 PDF BibTeX XML OpenURL