Kurek, Jan; Mikulski, Włodzimierz On lifting of 2-vector fields to \(r\)-jet prolongation of the tangent bundle. (English) Zbl 1472.58003 Ann. Univ. Mariae Curie-Skłodowska, Sect. A 75, No. 1, 61-67 (2021). MSC: 58A20 58A32 PDFBibTeX XMLCite \textit{J. Kurek} and \textit{W. Mikulski}, Ann. Univ. Mariae Curie-Skłodowska, Sect. A 75, No. 1, 61--67 (2021; Zbl 1472.58003)
Krupka, Demeter Variational principles: projectability onto Grassmann fibrations. (English) Zbl 1454.58015 J. Math. Phys. 61, No. 12, 123501, 19 p. (2020). MSC: 58E30 49Q99 53A55 18N45 PDFBibTeX XMLCite \textit{D. Krupka}, J. Math. Phys. 61, No. 12, 123501, 19 p. (2020; Zbl 1454.58015) Full Text: DOI
Doupovec, Miroslav; Kolář, Ivan On the \(\gamma\)-equivalence of semiholonomic jets. (English) Zbl 1463.58002 Arch. Math., Brno 55, No. 4, 261-264 (2019). Reviewer: Josef Janyška (Brno) MSC: 58A20 58A32 PDFBibTeX XMLCite \textit{M. Doupovec} and \textit{I. Kolář}, Arch. Math., Brno 55, No. 4, 261--264 (2019; Zbl 1463.58002) Full Text: DOI
Tomáš, Jiří The general rigidity result for bundles of \(A\)-covelocities and \(A\)-jets. (English) Zbl 1458.58004 Czech. Math. J. 67, No. 2, 297-316 (2017). MSC: 58A20 58A32 53C24 PDFBibTeX XMLCite \textit{J. Tomáš}, Czech. Math. J. 67, No. 2, 297--316 (2017; Zbl 1458.58004) Full Text: DOI
Tomáš, Jiří Bundles of \((p,A)\)-covelocities and \((p,A)\)-jets. (English) Zbl 1299.58010 Miskolc Math. Notes 14, No. 2, 547-555 (2013). MSC: 58A20 58A32 58D15 PDFBibTeX XMLCite \textit{J. Tomáš}, Miskolc Math. Notes 14, No. 2, 547--555 (2013; Zbl 1299.58010)
Rosado María, M. Eugenia Differential invariants of second-order ordinary differential equations. (English) Zbl 1269.53015 Dobrev, Vladimir (ed.), Lie theory and its applications in physics. IX international workshop. Based on the 9th workshop on Lie theory and its applications in physics, Varna, Bulgaria, June 20–26, 2011. Tokyo: Springer (ISBN 978-4-431-54269-8/hbk; 978-4-431-54270-4/ebook). Springer Proceedings in Mathematics & Statistics 36, 521-529 (2013). MSC: 53A55 34C14 58A20 PDFBibTeX XMLCite \textit{M. E. Rosado María}, Springer Proc. Math. Stat. 36, 521--529 (2013; Zbl 1269.53015) Full Text: DOI Link
Kolář, Ivan On special types of semiholonomic \(3\)-jets. (English) Zbl 1274.58001 Czech. Math. J. 63, No. 1, 165-175 (2013). MSC: 58A20 58A32 PDFBibTeX XMLCite \textit{I. Kolář}, Czech. Math. J. 63, No. 1, 165--175 (2013; Zbl 1274.58001) Full Text: DOI
Kolář, Ivan On special types of nonholonomic 3-jets. (English) Zbl 1289.58002 Arch. Math., Brno 48, No. 5, 339-351 (2012). Reviewer: Martin Čadek (Brno) MSC: 58A20 58A32 PDFBibTeX XMLCite \textit{I. Kolář}, Arch. Math., Brno 48, No. 5, 339--351 (2012; Zbl 1289.58002) Full Text: EMIS
Kolář, Ivan Some properties of fiber product preserving bundle functors. (English) Zbl 1226.58002 Differ. Geom. Appl. 29, Suppl. 1, S135-S140 (2011). MSC: 58A20 58A32 PDFBibTeX XMLCite \textit{I. Kolář}, Differ. Geom. Appl. 29, S135--S140 (2011; Zbl 1226.58002) Full Text: DOI
Doupovec, Miroslav; Kolář, Ivan; Mikulski, Włodzimierz M. On the jets of foliation respecting maps. (English) Zbl 1224.58002 Czech. Math. J. 60, No. 4, 951-960 (2010). MSC: 58A20 53C12 PDFBibTeX XMLCite \textit{M. Doupovec} et al., Czech. Math. J. 60, No. 4, 951--960 (2010; Zbl 1224.58002) Full Text: DOI EuDML Link
Spring, David Convex integration theory. Solutions to the \(h\)-principle in geometry and topology. Reprint of the 1998 original. (English) Zbl 1223.58007 Modern Birkhäuser Classics. Basel: Birkhäuser (ISBN 978-3-0348-0059-4/pbk; 978-3-0348-0060-0/ebook). viii, 213 p. (2010). Reviewer: David B. Gauld (Auckland) MSC: 58C35 58A20 58E25 53C42 58-02 PDFBibTeX XMLCite \textit{D. Spring}, Convex integration theory. Solutions to the \(h\)-principle in geometry and topology. Reprint of the 1998 original. Basel: Birkhäuser (2010; Zbl 1223.58007) Full Text: DOI
Tomáš, Jiří M. On bundles of covelocities. (English) Zbl 1223.58005 Lobachevskii J. Math. 30, No. 4, 280-288 (2009); erratum ibid. 31, No. 3, 307 (2010). MSC: 58A20 58A32 58D15 PDFBibTeX XMLCite \textit{J. M. Tomáš}, Lobachevskii J. Math. 30, No. 4, 280--288 (2009; Zbl 1223.58005) Full Text: DOI
Martínez Torres, David The geometry of 2-calibrated manifolds. (English) Zbl 1183.53047 Port. Math. (N.S.) 66, No. 4, 427-512 (2009). Reviewer: Andrew Bucki (Edmond) MSC: 53C38 53C15 32Q60 58A20 53D35 57R17 PDFBibTeX XMLCite \textit{D. Martínez Torres}, Port. Math. (N.S.) 66, No. 4, 427--512 (2009; Zbl 1183.53047) Full Text: DOI arXiv
Mikulski, Włodzimierz M. The jet prolongations of \(2\)-fibred manifolds and the flow operator. (English) Zbl 1212.58003 Arch. Math., Brno 44, No. 1, 17-21 (2008). MSC: 58A20 PDFBibTeX XMLCite \textit{W. M. Mikulski}, Arch. Math., Brno 44, No. 1, 17--21 (2008; Zbl 1212.58003) Full Text: EuDML EMIS
Kolář, Ivan; Mikulski, Włodzimierz M. Fiber product preserving bundle functors on all morphisms of fibered manifolds. (English) Zbl 1164.58306 Arch. Math., Brno 42, No. 3, 285-293 (2006). Reviewer: Josef Janyška (Brno) MSC: 58A20 58A32 PDFBibTeX XMLCite \textit{I. Kolář} and \textit{W. M. Mikulski}, Arch. Math., Brno 42, No. 3, 285--293 (2006; Zbl 1164.58306) Full Text: EuDML EMIS
Janyška, Josef; Cabras, Antonella; Kolář, Ivan On the geometry of variational calculus on some functional bundles. (English) Zbl 1195.58007 Note Mat. 26, No. 2, 51-67 (2006). MSC: 58E30 49Q20 PDFBibTeX XMLCite \textit{J. Janyška} et al., Note Mat. 26, No. 2, 51--67 (2006; Zbl 1195.58007) Full Text: DOI arXiv
Čap, Andreas; Slovák, Jan; Žádník, Vojtěch On distinguished curves in parabolic geometries. (English) Zbl 1070.53021 Transform. Groups 9, No. 2, 143-166 (2004). Reviewer: Hubert Gollek (Berlin) MSC: 53C22 53C15 53C30 PDFBibTeX XMLCite \textit{A. Čap} et al., Transform. Groups 9, No. 2, 143--166 (2004; Zbl 1070.53021) Full Text: DOI arXiv
Navarro González, Juan A.; Sancho de Salas, Juan B. \(C^\infty\)-differentiable spaces. (English) Zbl 1039.58001 Lecture Notes in Mathematics 1824. Berlin: Springer (ISBN 3-540-20072-X/pbk). xiii, 188 p. (2003). Reviewer: Andrew Bucki (Oklahoma City) MSC: 58A05 58-02 58A40 13J99 PDFBibTeX XMLCite \textit{J. A. Navarro González} and \textit{J. B. Sancho de Salas}, \(C^\infty\)-differentiable spaces. Berlin: Springer (2003; Zbl 1039.58001) Full Text: DOI
Gracia-Bondía, José M. Improved Epstein–Glaser renormalization in coordinate space. I: Euclidean framework. (English) Zbl 1023.81026 Math. Phys. Anal. Geom. 6, No. 1, 59-88 (2003). Reviewer: Akira Asada (Takarazuka) MSC: 81T15 46F99 46N50 PDFBibTeX XMLCite \textit{J. M. Gracia-Bondía}, Math. Phys. Anal. Geom. 6, No. 1, 59--88 (2003; Zbl 1023.81026) Full Text: DOI arXiv
Kolář, Ivan; Michor, Peter W.; Slovák, Jan Natural operations in differential geometry. Transl. from the English. (Estestvennye operatsii v differentsial’noj geometrii.) (Russian) Zbl 1084.53001 Metody Matematicheskogo Modelirovaniya 10. Kiev: TIMPANI (ISBN 966-7649-10-5/hbk). viii, 447 p. (2001). Reviewer: Liliana Răileanu (Iaşi) MSC: 53-02 53A55 58A20 53C05 58A32 PDFBibTeX XMLCite \textit{I. Kolář} et al., Estestvennye operatsii v differentsial'noj geometrii (Russian). Kiev: TIMPANI (2001; Zbl 1084.53001)
Krbek, M.; Musilová, J.; Kašparová, J. The variational sequence: Local and global properties. (English) Zbl 1004.58008 Krupka, D. (ed.), Proceedings of the seminar on differential geometry, Opava, Czech Republic, 2000. Opava: Silesian University at Opava. Math. Publ. (Opava). 2, 15-38 (2000). MSC: 58E30 58A15 PDFBibTeX XMLCite \textit{M. Krbek} et al., in: Proceedings of the seminar on differential geometry, Opava, Czech Republic, 2000. Opava: Silesian University at Opava. 15--38 (2000; Zbl 1004.58008)
Musilová, Jana; Krbek, Michael A note to the representation of the variational sequence in mechanics. (English) Zbl 0942.58029 Kolář, Ivan (ed.) et al., Differential geometry and applications. Proceedings of the 7th international conference, DGA 98, and satellite conference of ICM in Berlin, Brno, Czech Republic, August 10-14, 1998. Brno: Masaryk University. 511-523 (1999). MSC: 58E99 58A15 70S05 PDFBibTeX XMLCite \textit{J. Musilová} and \textit{M. Krbek}, in: Differential geometry and applications. Proceedings of the 7th international conference, DGA 98, and satellite conference of ICM in Berlin, Brno, Czech Republic, August 10--14, 1998. Brno: Masaryk University. 511--523 (1999; Zbl 0942.58029) Full Text: EMIS
Brodersen, Hans Sufficiency of jets with respect to \(\mathcal L\)-equivalence. (English) Zbl 0896.58009 Fukuda, T. (ed.) et al., Real analytic and algebraic singularities. Harlow: Longman. Pitman Res. Notes Math. Ser. 381, 78-83 (1998). Reviewer: A.G.Aleksandrov (Moskva) MSC: 58C25 58K99 58A20 32S15 PDFBibTeX XMLCite \textit{H. Brodersen}, Pitman Res. Notes Math. Ser. 381, 78--83 (1998; Zbl 0896.58009)
Aguirre-Dab, E.; Sánchez-Rodríguez, I. Explicit formulas for the 3-jet lift of a matrix group. Applications to conformal geometry. (English) Zbl 0951.58004 Pereira do Vale, A. (ed.) et al., Proceedings of the 1st international meeting on geometry and topology, Braga, Portugal, September 11-13, 1997. Braga: Univ. do Minho, Centro de Matemática, 191-205 (1997). Reviewer: Corina Mohorianu (Iaşi) MSC: 58A20 58E40 58-06 PDFBibTeX XMLCite \textit{E. Aguirre-Dab} and \textit{I. Sánchez-Rodríguez}, in: Proceedings of the 1st international meeting on geometry and topology, Braga, Portugal, September 11--13, 1997. Braga: Univ. do Minho, Centro de Matemática. 191--205 (1997; Zbl 0951.58004) Full Text: EMIS
Mikulski, W. M. Natural operators lifting functions to cotangent bundles of linear higher order tangent bundles. (English) Zbl 0909.58002 Slovák, Jan (ed.), Proceedings of the 15th Winter School on geometry and physics, Srní, Czech Republic, January 14–21, 1995. Palermo: Circolo Matemàtico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 43, 199-206 (1996). Reviewer: C.Mohorianu (Iaşi) MSC: 58A20 53A55 PDFBibTeX XMLCite \textit{W. M. Mikulski}, in: Proceedings of the 15th Winter School on geometry and physics, Srní, Czech Republic, January 14--21, 1995. Palermo: Circolo Matemàtico di Palermo. 199--206 (1996; Zbl 0909.58002)
Krupka, Demeter Lectures on variational sequences. (English) Zbl 0940.58012 Advanced Texts in Mathematics. Opava: Open Education & Sciences. 86 p. (1995). Reviewer: V.Pavlenko (Chelyabinsk) MSC: 58E30 58A10 58-02 49Q20 49-02 70G75 PDFBibTeX XMLCite \textit{D. Krupka}, Lectures on variational sequences. Opava: Open Education \& Sciences (1995; Zbl 0940.58012)
Krupka, Michal Orientability of higher order Grassmannians. (English) Zbl 0797.57015 Math. Slovaca 44, No. 1, 107-115 (1994). Reviewer: A.Szybiak (Waterloo) MSC: 57R42 53C42 58A20 14M15 PDFBibTeX XMLCite \textit{M. Krupka}, Math. Slovaca 44, No. 1, 107--115 (1994; Zbl 0797.57015) Full Text: EuDML
Krupka, D. Variational sequences on finite order jet spaces. (English) Zbl 0813.58014 Janyška, Josef (ed.) et al., Differential geometry and its applications. International conference, Brno, Czechoslovakia, 27 Aug. - 2 Sept. 1989. Singapore: World Scientific. 236-254 (1990). Reviewer: J.J.Telega (Warszawa) MSC: 58E30 PDFBibTeX XMLCite \textit{D. Krupka}, in: Differential geometry and its applications. International conference, Brno, Czećhoslovakia, 27 Aug. - 2. Sept. 1989. Singapore: World Scientific. 236--254 (1990; Zbl 0813.58014)
Kolář, Ivan; Vosmanská, Gabriela Natural transformations of higher order tangent bundles and jet spaces. (English) Zbl 0678.58002 Čas. Pěstování Mat. 114, No. 2, 181-186 (1989). Reviewer: I.Kolář MSC: 58A20 PDFBibTeX XMLCite \textit{I. Kolář} and \textit{G. Vosmanská}, Čas. Pěstování Mat. 114, No. 2, 181--186 (1989; Zbl 0678.58002) Full Text: EuDML
Garcia Pérez, Pedro L. Differential invariants of G-structures. (Spanish. English summary) Zbl 0707.53027 Rev. R. Acad. Cienc. Exactas Fís. Nat. Madr. 82, No. 3-4, 533-536 (1988). Reviewer: M.de Leon MSC: 53C10 53A55 PDFBibTeX XMLCite \textit{P. L. Garcia Pérez}, Rev. R. Acad. Cienc. Exactas Fís. Nat. Madr. 82, No. 3--4, 533--536 (1988; Zbl 0707.53027) Full Text: EuDML
Konderak, Jerzy Some corollaries of Gromov’s theorems. (English) Zbl 0629.57022 Zesz. Nauk. Uniw. Jagielloń. 750, Acta Math. 26, 241-259 (1987). MSC: 57R99 57R30 58A30 57R42 PDFBibTeX XMLCite \textit{J. Konderak}, Zesz. Nauk. Uniw. Jagielloń. [...], Acta Math. 750(26), 241--259 (1987; Zbl 0629.57022)
Janyška, Josef Geometrical properties of prolongation functors. (English) Zbl 0582.58002 Čas. Pěst. Mat. 110, 77-86 (1985). Reviewer: I.D.Albu MSC: 58A20 PDFBibTeX XMLCite \textit{J. Janyška}, Čas. Pěstování Mat. 110, 77--86 (1985; Zbl 0582.58002) Full Text: EuDML
Carbol, Jaroslav; Vanzura, Jiri Derivations on the algebra of differential forms of higher order on a manifold. (English) Zbl 0516.58005 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat. 73, Math. 21, 113-118 (1982). MSC: 58A20 58A10 PDFBibTeX XMLCite \textit{J. Carbol} and \textit{J. Vanzura}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 21, 113--118 (1982; Zbl 0516.58005) Full Text: EuDML
White, J. Enrico The method of iterated tangents with applications in local Riemannian geometry. (English) Zbl 0478.58002 Monographs and Studies in Mathematics, 13. Boston - London -Melbourne: Pitman Advanced Publishing Program. XX, 252 p. £28.50 (1982). MSC: 58-01 58A05 58A20 53B20 58A10 PDFBibTeX XML
Neagu, Alexandru C. The prolongations of G-spaces. (English) Zbl 0405.57022 Atti Accad. Naz. Lincei, VIII. Ser., Rend., Cl. Sci. Fis. Mat. Nat. 63, 509-512 (1977). MSC: 57S15 55R10 58A20 PDFBibTeX XMLCite \textit{A. C. Neagu}, Atti Accad. Naz. Lincei, VIII. Ser., Rend., Cl. Sci. Fis. Mat. Nat. 63, 509--512 (1977; Zbl 0405.57022)