prof. RNDr.

Miroslav Doupovec

CSc., dr. h. c.

VUT – prorektor pro studium

+420 54114 2530, +420 54114 5207
prorektor.studium@vutbr.cz

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prof. RNDr. Miroslav Doupovec, CSc., dr. h. c.

Publikace

  • 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, roč. 38, č. 1, s. 241-260. ISSN: 0354-5180.
    Detail | WWW

  • 2023

    DOUPOVEC, M.; KUREK, J.; MIKULSKI, W. On Weil like functors on flag vector bundles with given length. FILOMAT, 2023, roč. 37, č. 9, s. 2755-2771. ISSN: 0354-5180.
    Detail | WWW

    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, roč. 76, č. 2, s. 1-13. ISSN: 2083-7402.
    Detail | WWW | Plný text v Digitální knihovně

  • 2021

    DOUPOVEC, M.; KUREK, J.; MIKULSKI, W. On jet like bundles of vector bundles. Matematicki Vesnik, 2021, roč. 73, č. 4, s. 243-255. ISSN: 0025-5165.
    Detail | WWW | Plný text v Digitální knihovně

  • 2019

    DOUPOVEC, M.; KOLÁŘ, I. ON THE γ-EQUIVALENCE OF SEMIHOLONOMIC JETS. ARCHIVUM MATHEMATICUM, 2019, roč. 55, č. 4, s. 261-264. ISSN: 0044-8753.
    Detail | WWW

    DOUPOVEC, M.; KUREK, J.; MIKULSKI, W. The Natural Lie Algebra Brackets on Couples of Vector Fields and p-Forms. FILOMAT, 2019, roč. 33, č. 9, s. 2705-2709. ISSN: 0354-5180.
    Detail | WWW

    DOUPOVEC, M.; KUREK, J.; MIKULSKI, W. On the Symmetrization of Jets on Vector Bundles. FILOMAT, 2019, roč. 33, č. 4, s. 1091-1096. ISSN: 0354-5180.
    Detail | WWW

  • 2018

    DOUPOVEC, M.; KUREK, J.; MIKULSKI, W. On the Courant bracket on couples of vector fields and p-forms. Annales Universitatis Mariae Curie Sklodowska, 2018, roč. 72, č. 2, s. 29-36. ISSN: 0365-1029.
    Detail

    DOUPOVEC, M.; KUREK, J.; MIKULSKI, W. The natural brackets on couples of vector fields and 1-forms. TURKISH JOURNAL OF MATHEMATICS, 2018, roč. 42, č. 4, s. 1853-1862. ISSN: 1300-0098.
    Detail | WWW

  • 2017

    DOUPOVEC, M.; KUREK, J.; MIKULSKI, W. Vertical functors on fibered manifolds. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2017, roč. 54, č. A, s. 100-110. ISSN: 0926-2245.
    Detail | WWW

  • 2014

    DOUPOVEC, M.; KUREŠ, M. Some geometric constructions on Frobenius Weil bundles. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2014, roč. 35, č. S, s. 143-149. ISSN: 0926- 2245.
    Detail

  • 2013

    DOUPOVEC, M.; MIKULSKI, W. On symmetrization of higher order jets. Miskolc Mathematical Notes, 2013, roč. 14, č. 2, s. 495-502. ISSN: 1787- 2405.
    Detail

  • 2011

    DOUPOVEC, M.; MIKULSKI, W. On iteration of higher order jets and prolongation of connections. Annales Polon.Math., 2011, roč. 100, č. 1, s. 55-75. ISSN: 0066- 2216.
    Detail

  • 2010

    DOUPOVEC, M.; KOLÁŘ, I.; MIKULSKI, W. On the jets of foliation respecting maps. Czechoslovak Mathematical Journal, 2010, roč. 60, č. 4, s. 951-960. ISSN: 0011- 4642.
    Detail

    DOUPOVEC, M.; MIKULSKI, W. Reduction Theorems for Principal and Classical Connections. Acta Mathematica Sinica, 2010, roč. 26, č. 1, s. 169-184. ISSN: 1439- 8516.
    Detail

  • 2009

    DOUPOVEC, M.; MIKULSKI, W. Gauge natural prolongation of connections. Annales Polon.Math., 2009, roč. 95, č. 1, s. 37-50. ISSN: 0066- 2216.
    Detail

  • 2007

    DOUPOVEC, M.; MIKULSKI, W. Holonomic extension of connections and symmetrization of jets. Reports on Mathematical Physics, 2007, roč. 60, č. 2, s. 299-316. ISSN: 0034- 4877.
    Detail

    DOUPOVEC, M.; MIKULSKI, W. Some geometric constructions of second order connections. Annales Universitatis Mariae Curie Sklodowska, 2007, roč. 61, č. 1, s. 15-22. ISSN: 0365- 1029.
    Detail

    DOUPOVEC, M.; MIKULSKI, W. Higher order jet involution. Czechoslovak Mathematical Journal, 2007, roč. 57, č. 132, s. 933-945. ISSN: 0011- 4642.
    Detail

    DOUPOVEC, M.; MIKULSKI, W. Gauge natural constructions on higher order principal prolongations. Annales Polon.Math., 2007, roč. 92, č. 1, s. 87-97. ISSN: 0066- 2216.
    Detail

    DOUPOVEC, M.; MIKULSKI, W. Non- existence of exchange transformations of iterated jet functors. Banach Center Publications, 2007, roč. 76, č. 1, s. 497-504. ISSN: 0137- 6934.
    Detail

  • 2006

    DOUPOVEC, M.; MIKULSKI, W. On the existence of prolongation of connections. Czechoslovak Mathematical Journal, 2006, roč. 56, č. 4, s. 1323-1334. ISSN: 0011- 4642.
    Detail

    DOUPOVEC, M.; MIKULSKI, W. On involutions of iterated bundle functors. Colloquium Mathematicum, 2006, roč. 106, č. 1, s. 135-145. ISSN: 0010- 1354.
    Detail

  • 2005

    DOUPOVEC, M.; MIKULSKI, W. Prolongation of connections to vertical bundles. In Differential Geometry and its Applications. Praha: 2005. s. 217-227. ISBN: 80-86732-63- 0.
    Detail

    DOUPOVEC, M. On the underlying lower order bundle functors. Czechoslovak Mathematical Journal, 2005, roč. 55, č. 130, s. 901-916. ISSN: 0011- 4642.
    Detail

    DOUPOVEC, Miroslav; MIKULSKI, Wlodzimierz. Prolongation of pairs of connections into connections on vertical bundles. ARCHIVUM MATHEMATICUM, 2005, roč. 41, č. 4, s. 409-422. ISSN: 0044- 8753.
    Detail

  • 2004

    DOUPOVEC, M., MIKULSKI, W. Horizontal extension of connections into (2)- connections. Demonstratio Mathematicae, 2004, roč. 37, č. 4, s. 963 ( s.)ISSN: 0420- 1213.
    Detail

    DOUPOVEC, M. Underlying functors on fibered manifolds. Annales Academiae Paedagogicae Cracoviensis, 2004, roč. 23, č. 1, s. 53 ( s.)ISSN: 1643- 6555.
    Detail

  • 2003

    DOUPOVEC, M., KUREK, J. Torsions of connections on higher order cotangent bundles. Czechoslovak Mathematical Journal, 2003, roč. 53, č. 128, s. 949 ( s.)ISSN: 0011- 4642.
    Detail

    DOUPOVEC, M. Torsions of connections on time- dependent Weil bundles. Colloquium Mathematicum, 2003, roč. 95, č. 1, s. 53 ( s.)ISSN: 0010- 1354.
    Detail

  • 2001

    DOUPOVEC, M., KOLÁŘ, I. Iteration of fiber product preserving bundle functors. Monatshefte fuer Mathematik, 2001, roč. 134, č. 1, s. 39 ( s.)ISSN: 0026- 9255.
    Detail

    DOUPOVEC, M. Natural transformations of the composition of Weil and cotangent functors. Annales Polon.Math., 2001, roč. 77, č. 2, s. 105 ( s.)ISSN: 0066- 2216.
    Detail

    DOUPOVEC, M., KUREK, J. Torsions of connections on higher order tangent bundles. Annales Universitatis Mariae Curie Sklodowska, 2001, roč. 55, č. 2, s. 15 ( s.)ISSN: 0365- 1029.
    Detail

  • 2000

    DOUPOVEC, M., VONDRA, A. Invariant subspaces in higher order jet prolongations of a fibred manifold. Czechoslovak Mathematical Journal, 2000, roč. 50, č. 125, s. 209 ( s.)ISSN: 0011- 4642.
    Detail

    DOUPOVEC, M., KOLÁŘ, I. Natural transformations of separated jets. ARCHIVUM MATHEMATICUM, 2000, roč. 36, č. 4, s. 297 ( s.)ISSN: 0044- 8753.
    Detail

  • 1999

    DOUPOVEC, M., KOLÁŘ, I. On the jets of fibered manifold morphisms. Cahiers de Topologie et Geometrie Differentielle Categoriques, 1999, roč. XL, č. 1, s. 21 ( s.)ISSN: 0008- 0004.
    Detail

    DOUPOVEC, 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. s. 223 ( s.)ISBN: 80-210-2097- 0.
    Detail

    DOUPOVEC, 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.
    Detail

  • 1998

    DOUPOVEC, M., KUREK, J. Liftings of 1- forms to some non product preserving bundles. Supplemento ai Rendiconti del Circolo Matematico di Palermo, 1998, roč. 54, č. Serie II, s. 26 ( s.)ISSN: 0009- 725X.
    Detail

  • 1997

    DOUPOVEC, M., KUREK, J. Natural operations of Hamiltonian type on the cotangent bundle. Supplemento ai Rendiconti del Circolo Matematico di Palermo, 1997, roč. 46, č. Serie II, s. 81 ( s.)ISSN: 0009- 725X.
    Detail

  • 1996

    DOUPOVEC, 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. s. 113 ( s.)ISBN: 0-7923-3822- 7.
    Detail

    DOUPOVEC, M., VONDRA, A. In New Developments in Differential Geometry. Dordrecht, Netherlands: Kluwer Academic Publishers, 1996. s. 113 ( s.)ISBN: 0-7923-382- 7.
    Detail

    DOUPOVEC, M., KUREK, J. Liftings of tensor fields to the cotangent bundle. In Differential Geometry and Its Applications, Proceedings. Brno: Masaryk University, Brno, 1996. s. 141 ( s.)ISBN: 80-210-1369- 9.
    Detail

    DOUPOVEC, 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, roč. 43, č. Serie II, s. 111 ( s.)ISSN: 0009- 725X.
    Detail

    DOUPOVEC, M., KUREK, J. Some geometrical constructions with (0,2)- tensor field on higher order cotangent bundles. Annales Universitatis Mariae Curie Sklodowska, 1996, roč. 50, č. 5, s. 43 ( s.)ISSN: 0365- 1029.
    Detail

    DOUPOVEC M., VONDRA A. Some natural operations between conections on fibred manifolds. Supplemento ai Rendiconti del Circolo Matematico di Palermo, 1996, roč. Serie II, č. 39, s. 73 ( s.)ISSN: 0009- 725X.
    Detail

    DOUPOVEC, M., VONDRA, A. Connection, jet prolongation, natural operator, integrability. Supplemento ai Rendiconti del Circolo Matematico di Palermo, 1996, roč. 39, č. 0, s. 73 ( s.)ISSN: 0009- 725X.
    Detail

  • 1994

    DOUPOVEC, M. Natural liftings of (0,2)- tensor fields to the tangent bundle. ARCHIVUM MATHEMATICUM, 1994, roč. 30, č. 3, s. 215 ( s.)ISSN: 0044- 8753.
    Detail

  • 1993

    DOUPOVEC, M. Natural transformations between TTT*M and TT* TM. Czechoslovak Mathematical Journal, 1993, roč. 43, č. 118, s. 599 ( s.)ISSN: 0011- 4642.
    Detail

    DOUPOVEC, M., VONDRA, A. On certain natural transformations between connections. In Differential Geometry and Its Applications, Proceedings. Silesian University Opava: Silesian University Opava, 1993. s. 273 ( s.)ISBN: 80-901581-0- 2.
    Detail

  • 1991

    DOUPOVEC, M., KOLÁŘ, I. Natural afinors on time- dependent Weil bundles. ARCHIVUM MATHEMATICUM, 1991, roč. 27, č. b, s. 205 ( s.)ISSN: 0044- 8753.
    Detail

    DOUPOVEC, M. Natural transformations between $T^2_1T^*M$ and $T^*T^2_1M$. Annales Polon.Math., 1991, roč. 56, č. 1, s. 67 ( s.)ISSN: 0066- 2216.
    Detail

  • 1990

    DOUPOVEC, M. Natural operators transforming vector fields to the second order tangent bundle. Mathematica Bohemica, 1990, roč. 115, č. 1, s. 64 ( s.)ISSN: 0862- 7959.
    Detail

  • 1988

    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. s. 47 ( s.)ISBN: 80-214-0020- X.
    Detail

    DOUPOVEC, M. Higher monotonicity properties of the third order derivatives of Bessel functions. In Knižnice VUT Brno, svazek B- 119. VUT Brno: VUT Brno, 1988. s. 37 ( s.)ISBN: 80-214-0020- X.
    Detail

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