prof. RNDr.
Miroslav Doupovec
CSc., dr. h. c.
BUT – Vice-Rector for Studies
+420 54114 2530, +420 54114 5207
vicerector.studies@vutbr.cz
Publications
2024
DOUPOVEC, M.; KUREK, J.; MIKULSKI, W. Description of jet like functors on vector bundles by means of module bundle functors on the bases. FILOMAT, 2024, vol. 38, no. 1,
p. 241-260. ISSN: 0354-5180.
Detail | WWW2023
DOUPOVEC, M.; KUREK, J.; MIKULSKI, W. Natural affinors and torsion of connections on Weil like functors on double vector bundles. Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica, 2023, vol. 76, no. 2,
p. 1-13. ISSN: 2083-7402.
Detail | WWW | Full text in the Digital LibraryDOUPOVEC, M.; KUREK, J.; MIKULSKI, W. On Weil like functors on flag vector bundles with given length. FILOMAT, 2023, vol. 37, no. 9,
p. 2755-2771. ISSN: 0354-5180.
Detail | WWW2021
DOUPOVEC, M.; KUREK, J.; MIKULSKI, W. On jet like bundles of vector bundles. Matematicki Vesnik, 2021, vol. 73, no. 4,
p. 243-255. ISSN: 0025-5165.
Detail | WWW | Full text in the Digital Library2019
DOUPOVEC, M.; KOLÁŘ, I. ON THE γ-EQUIVALENCE OF SEMIHOLONOMIC JETS. ARCHIVUM MATHEMATICUM, 2019, vol. 55, no. 4,
p. 261-264. ISSN: 0044-8753.
Detail | WWWDOUPOVEC, M.; KUREK, J.; MIKULSKI, W. The Natural Lie Algebra Brackets on Couples of Vector Fields and p-Forms. FILOMAT, 2019, vol. 33, no. 9,
p. 2705-2709. ISSN: 0354-5180.
Detail | WWWDOUPOVEC, M.; KUREK, J.; MIKULSKI, W. On the Symmetrization of Jets on Vector Bundles. FILOMAT, 2019, vol. 33, no. 4,
p. 1091-1096. ISSN: 0354-5180.
Detail | WWW2018
DOUPOVEC, M.; KUREK, J.; MIKULSKI, W. The natural brackets on couples of vector fields and 1-forms. TURKISH JOURNAL OF MATHEMATICS, 2018, vol. 42, no. 4,
p. 1853-1862. ISSN: 1300-0098.
Detail | WWWDOUPOVEC, M.; KUREK, J.; MIKULSKI, W. On the Courant bracket on couples of vector fields and p-forms. Annales Universitatis Mariae Curie Sklodowska, 2018, vol. 72, no. 2,
p. 29-36. ISSN: 0365-1029.
Detail2017
DOUPOVEC, M.; KUREK, J.; MIKULSKI, W. Vertical functors on fibered manifolds. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2017, vol. 54, no. A,
p. 100-110. ISSN: 0926-2245.
Detail | WWW2014
DOUPOVEC, M.; KUREŠ, M. Some geometric constructions on Frobenius Weil bundles. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2014, vol. 35, no. S,
p. 143-149. ISSN: 0926- 2245.
Detail2013
DOUPOVEC, M.; MIKULSKI, W. On symmetrization of higher order jets. Miskolc Mathematical Notes, 2013, vol. 14, no. 2,
p. 495-502. ISSN: 1787- 2405.
Detail2011
DOUPOVEC, M.; MIKULSKI, W. On iteration of higher order jets and prolongation of connections. Annales Polon.Math., 2011, vol. 100, no. 1,
p. 55-75. ISSN: 0066- 2216.
Detail2010
DOUPOVEC, M.; MIKULSKI, W. Reduction Theorems for Principal and Classical Connections. Acta Mathematica Sinica, 2010, vol. 26, no. 1,
p. 169-184. ISSN: 1439- 8516.
DetailDOUPOVEC, M.; KOLÁŘ, I.; MIKULSKI, W. On the jets of foliation respecting maps. Czechoslovak Mathematical Journal, 2010, vol. 60, no. 4,
p. 951-960. ISSN: 0011- 4642.
Detail2009
DOUPOVEC, M.; MIKULSKI, W. Gauge natural prolongation of connections. Annales Polon.Math., 2009, vol. 95, no. 1,
p. 37-50. ISSN: 0066- 2216.
Detail2007
DOUPOVEC, M.; MIKULSKI, W. Holonomic extension of connections and symmetrization of jets. Reports on Mathematical Physics, 2007, vol. 60, no. 2,
p. 299-316. ISSN: 0034- 4877.
DetailDOUPOVEC, M.; MIKULSKI, W. Non- existence of exchange transformations of iterated jet functors. Banach Center Publications, 2007, vol. 76, no. 1,
p. 497-504. ISSN: 0137- 6934.
DetailDOUPOVEC, M.; MIKULSKI, W. Gauge natural constructions on higher order principal prolongations. Annales Polon.Math., 2007, vol. 92, no. 1,
p. 87-97. ISSN: 0066- 2216.
DetailDOUPOVEC, M.; MIKULSKI, W. Some geometric constructions of second order connections. Annales Universitatis Mariae Curie Sklodowska, 2007, vol. 61, no. 1,
p. 15-22. ISSN: 0365- 1029.
DetailDOUPOVEC, M.; MIKULSKI, W. Higher order jet involution. Czechoslovak Mathematical Journal, 2007, vol. 57, no. 132,
p. 933-945. ISSN: 0011- 4642.
Detail2006
DOUPOVEC, M.; MIKULSKI, W. On the existence of prolongation of connections. Czechoslovak Mathematical Journal, 2006, vol. 56, no. 4,
p. 1323-1334. ISSN: 0011- 4642.
DetailDOUPOVEC, M.; MIKULSKI, W. On involutions of iterated bundle functors. Colloquium Mathematicum, 2006, vol. 106, no. 1,
p. 135-145. ISSN: 0010- 1354.
Detail2005
DOUPOVEC, Miroslav; MIKULSKI, Wlodzimierz. Prolongation of pairs of connections into connections on vertical bundles. ARCHIVUM MATHEMATICUM, 2005, vol. 41, no. 4,
p. 409-422. ISSN: 0044- 8753.
DetailDOUPOVEC, M. On the underlying lower order bundle functors. Czechoslovak Mathematical Journal, 2005, vol. 55, no. 130,
p. 901-916. ISSN: 0011- 4642.
DetailDOUPOVEC, M.; MIKULSKI, W. Prolongation of connections to vertical bundles. In Differential Geometry and its Applications. Praha: 2005.
p. 217-227. ISBN: 80-86732-63- 0.
Detail2004
DOUPOVEC, M., MIKULSKI, W. Horizontal extension of connections into (2)- connections. Demonstratio Mathematicae, 2004, vol. 37, no. 4,
p. 963 ( p.) ISSN: 0420- 1213.
DetailDOUPOVEC, M. Underlying functors on fibered manifolds. Annales Academiae Paedagogicae Cracoviensis, 2004, vol. 23, no. 1,
p. 53 ( p.) ISSN: 1643- 6555.
Detail2003
DOUPOVEC, M. Torsions of connections on time- dependent Weil bundles. Colloquium Mathematicum, 2003, vol. 95, no. 1,
p. 53 ( p.) ISSN: 0010- 1354.
DetailDOUPOVEC, M., KUREK, J. Torsions of connections on higher order cotangent bundles. Czechoslovak Mathematical Journal, 2003, vol. 53, no. 128,
p. 949 ( p.) ISSN: 0011- 4642.
Detail2001
DOUPOVEC, M., KOLÁŘ, I. Iteration of fiber product preserving bundle functors. Monatshefte fuer Mathematik, 2001, vol. 134, no. 1,
p. 39 ( p.) ISSN: 0026- 9255.
DetailDOUPOVEC, M., KUREK, J. Torsions of connections on higher order tangent bundles. Annales Universitatis Mariae Curie Sklodowska, 2001, vol. 55, no. 2,
p. 15 ( p.) ISSN: 0365- 1029.
DetailDOUPOVEC, M. Natural transformations of the composition of Weil and cotangent functors. Annales Polon.Math., 2001, vol. 77, no. 2,
p. 105 ( p.) ISSN: 0066- 2216.
Detail2000
DOUPOVEC, M., KOLÁŘ, I. Natural transformations of separated jets. ARCHIVUM MATHEMATICUM, 2000, vol. 36, no. 4,
p. 297 ( p.) ISSN: 0044- 8753.
DetailDOUPOVEC, M., VONDRA, A. Invariant subspaces in higher order jet prolongations of a fibred manifold. Czechoslovak Mathematical Journal, 2000, vol. 50, no. 125,
p. 209 ( p.) ISSN: 0011- 4642.
Detail1999
DOUPOVEC, M., KOLÁŘ, I. On the jets of fibered manifold morphisms. Cahiers de Topologie et Geometrie Differentielle Categoriques, 1999, vol. XL, no. 1,
p. 21 ( p.) ISSN: 0008- 0004.
DetailDOUPOVEC, M. On the symplectic structure of some natural bundles. In Differential Geometry and Its Applications, Proceedings. Satellite Conference of ICM in Berlin, Aug. 10-14, 1988, Brno. Brno: Masaryk University, Brno, 1999.
p. 223 ( p.) ISBN: 80-210-2097- 0.
DetailDOUPOVEC, M. Diferenciální geometrie a tenzorový počet. Diferenciální geometrie a tenzorový počet. Brno: VUT v Brně, FSI, Ústav matematiky, nakladatelství PC-DIR Real, s.r.o., 1999. ISBN: 80-214-1470- 7.
Detail1998
DOUPOVEC, M., KUREK, J. Liftings of 1- forms to some non product preserving bundles. Supplemento ai Rendiconti del Circolo Matematico di Palermo, 1998, vol. 54, no. Serie II,
p. 26 ( p.) ISSN: 0009- 725X.
Detail1997
DOUPOVEC, M., KUREK, J. Natural operations of Hamiltonian type on the cotangent bundle. Supplemento ai Rendiconti del Circolo Matematico di Palermo, 1997, vol. 46, no. Serie II,
p. 81 ( p.) ISSN: 0009- 725X.
Detail1996
DOUPOVEC, M., KUREK, J. Some geometrical constructions with (0,2)- tensor field on higher order cotangent bundles. Annales Universitatis Mariae Curie Sklodowska, 1996, vol. 50, no. 5,
p. 43 ( p.) ISSN: 0365- 1029.
DetailDOUPOVEC M., VONDRA A. Some natural operations between conections on fibred manifolds. Supplemento ai Rendiconti del Circolo Matematico di Palermo, 1996, vol. Serie II, no. 39,
p. 73 ( p.) ISSN: 0009- 725X.
DetailDOUPOVEC, M., VONDRA, A. Connection, jet prolongation, natural operator, integrability. Supplemento ai Rendiconti del Circolo Matematico di Palermo, 1996, vol. 39, no. 0,
p. 73 ( p.) ISSN: 0009- 725X.
DetailDOUPOVEC, M., KUREK, J. Liftings of tensor fields to the cotangent bundle. In Differential Geometry and Its Applications, Proceedings. Brno: Masaryk University, Brno, 1996.
p. 141 ( p.) ISBN: 80-210-1369- 9.
DetailDOUPOVEC, M., VONDRA, A. Natural relations between connections on 2- fibered manifolds. In New Developments in Differential Geometry. New Developments in Differential Geometry. Dordrecht: Kluwer Academic Publishers, 1996.
p. 113 ( p.) ISBN: 0-7923-3822- 7.
DetailDOUPOVEC, M., VONDRA, A. In New Developments in Differential Geometry. Dordrecht, Netherlands: Kluwer Academic Publishers, 1996.
p. 113 ( p.) ISBN: 0-7923-382- 7.
DetailDOUPOVEC, M., KUREK, J. Liftings of covariant (0,2)-tensor fields to the bundle of k-dimensinal 1- velocities. Supplemento ai Rendiconti del Circolo Matematico di Palermo, 1996, vol. 43, no. Serie II,
p. 111 ( p.) ISSN: 0009- 725X.
Detail1994
DOUPOVEC, M. Natural liftings of (0,2)- tensor fields to the tangent bundle. ARCHIVUM MATHEMATICUM, 1994, vol. 30, no. 3,
p. 215 ( p.) ISSN: 0044- 8753.
Detail1993
DOUPOVEC, M., VONDRA, A. On certain natural transformations between connections. In Differential Geometry and Its Applications, Proceedings. Silesian University Opava: Silesian University Opava, 1993.
p. 273 ( p.) ISBN: 80-901581-0- 2.
DetailDOUPOVEC, M. Natural transformations between TTT*M and TT* TM. Czechoslovak Mathematical Journal, 1993, vol. 43, no. 118,
p. 599 ( p.) ISSN: 0011- 4642.
Detail1991
DOUPOVEC, M. Natural transformations between $T^2_1T^*M$ and $T^*T^2_1M$. Annales Polon.Math., 1991, vol. 56, no. 1,
p. 67 ( p.) ISSN: 0066- 2216.
DetailDOUPOVEC, M., KOLÁŘ, I. Natural afinors on time- dependent Weil bundles. ARCHIVUM MATHEMATICUM, 1991, vol. 27, no. b,
p. 205 ( p.) ISSN: 0044- 8753.
Detail1990
DOUPOVEC, M. Natural operators transforming vector fields to the second order tangent bundle. Mathematica Bohemica, 1990, vol. 115, no. 1,
p. 64 ( p.) ISSN: 0862- 7959.
Detail1988
DOUPOVEC, M., KOLÁŘ, I. On the natural operators transforming connections to the tangent bundle of a fibred manifold. In Knižnice VUT Brno. VUT Brno: VUT Brno, 1988.
p. 47 ( p.) ISBN: 80-214-0020- X.
DetailDOUPOVEC, M. Higher monotonicity properties of the third order derivatives of Bessel functions. In Knižnice VUT Brno, svazek B- 119. VUT Brno: VUT Brno, 1988.
p. 37 ( p.) ISBN: 80-214-0020- X.
Detail
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