prof. RNDr.

Miroslav Doupovec

CSc., dr. h. c.

BUT – Vice-Rector for Studies

+420 54114 2530, +420 54114 5207
vicerector.studies@vutbr.cz

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

Publikační výsledky

  • 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

  • 2023

    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

    DOUPOVEC, 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

  • 2021

    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

  • 2019

    DOUPOVEC, 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

    DOUPOVEC, 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

    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

  • 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, vol. 72, no. 2, p. 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, vol. 42, no. 4, p. 1853-1862. ISSN: 1300-0098.
    Detail

  • 2017

    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

  • 2014

    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.
    Detail

  • 2013

    DOUPOVEC, M.; MIKULSKI, W. On symmetrization of higher order jets. Miskolc Mathematical Notes, 2013, vol. 14, no. 2, p. 495-502. ISSN: 1787-2405.
    Detail

  • 2011

    DOUPOVEC, M.; MIKULSKI, W. On iteration of higher order jets and prolongation of connections. Annales Polonici Mathematici, 2011, vol. 100, no. 1, p. 55-75. ISSN: 0066-2216.
    Detail

  • 2010

    DOUPOVEC, 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.
    Detail

    DOUPOVEC, M.; MIKULSKI, W. Reduction Theorems for Principal and Classical Connections. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, vol. 26, no. 1, p. 169-184. ISSN: 1439-8516.
    Detail

  • 2009

    DOUPOVEC, M.; MIKULSKI, W. Gauge natural prolongation of connections. Annales Polonici Mathematici, 2009, vol. 95, no. 1, p. 37-50. ISSN: 0066-2216.
    Detail

  • 2007

    DOUPOVEC, 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.
    Detail

    DOUPOVEC, 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.
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    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.
    Detail

    DOUPOVEC, M.; MIKULSKI, W. Higher order jet involution. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2007, vol. 57, no. 132, p. 933-945. ISSN: 0011-4642.
    Detail

    DOUPOVEC, M.; MIKULSKI, W. Gauge natural constructions on higher order principal prolongations. Annales Polonici Mathematici, 2007, vol. 92, no. 1, p. 87-97. ISSN: 0066-2216.
    Detail

  • 2006

    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.
    Detail

    DOUPOVEC, M.; MIKULSKI, W. On involutions of iterated bundle functors. COLLOQUIUM MATHEMATICUM, 2006, vol. 106, no. 1, p. 135-145. ISSN: 0010-1354.
    Detail

  • 2005

    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.
    Detail

    DOUPOVEC, M. On the underlying lower order bundle functors. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2005, vol. 55, no. 130, p. 901-916. ISSN: 0011-4642.
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    DOUPOVEC, 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.
    Detail

  • 2004

    DOUPOVEC, M., MIKULSKI, W. Horizontal extension of connections into (2)-connections. Demonstratio Mathematica, 2004, vol. 37, no. 4, 13 p. ISSN: 0420-1213.
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    DOUPOVEC, M. Underlying functors on fibered manifolds. Annales Academiae Paedagogicae Cracoviensis, 2004, vol. 23, no. 1, 11 p. ISSN: 1643-6555.
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  • 2003

    DOUPOVEC, M., KUREK, J. Torsions of connections on higher order cotangent bundles. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2003, vol. 53, no. 128, 10 p. ISSN: 0011-4642.
    Detail

    DOUPOVEC, M. Torsions of connections on time-dependent Weil bundles. COLLOQUIUM MATHEMATICUM, 2003, vol. 95, no. 1, 10 p. ISSN: 0010-1354.
    Detail

  • 2001

    DOUPOVEC, M., KUREK, J. Torsions of connections on higher order tangent bundles. Annales Universitatis Mariae Curie Sklodowska, 2001, vol. 55, no. 2, 8 p. ISSN: 0365-1029.
    Detail

    DOUPOVEC, M. Natural transformations of the composition of Weil and cotangent functors. Annales Polonici Mathematici, 2001, vol. 77, no. 2, 13 p. ISSN: 0066-2216.
    Detail

    DOUPOVEC, M., KOLÁŘ, I. Iteration of fiber product preserving bundle functors. MONATSHEFTE FUR MATHEMATIK, 2001, vol. 134, no. 1, 12 p. ISSN: 0026-9255.
    Detail

  • 2000

    DOUPOVEC, M., KOLÁŘ, I. Natural transformations of separated jets. ARCHIVUM MATHEMATICUM, 2000, vol. 36, no. 4, 7 p. ISSN: 0044-8753.
    Detail

    DOUPOVEC, M., VONDRA, A. Invariant subspaces in higher order jet prolongations of a fibred manifold. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2000, vol. 50, no. 125, 12 p. ISSN: 0011-4642.
    Detail

  • 1999

    DOUPOVEC, M., KOLÁŘ, I. On the jets of fibered manifold morphisms. Cahiers de Topologie et Geometrie Differentielle Categoriques, 1999, vol. XL, no. 1, 10 p. 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. 8 p. ISBN: 80-210-2097-0.
    Detail

  • 1998

    DOUPOVEC, M., KUREK, J. Liftings of 1-forms to some non product preserving bundles. Rendiconti del Circolo Matematico di Palermo, 1998, vol. 54, no. Serie II, 7 p. ISSN: 0009-725X.
    Detail

  • 1997

    DOUPOVEC, M., KUREK, J. Natural operations of Hamiltonian type on the cotangent bundle. Rendiconti del Circolo Matematico di Palermo, 1997, vol. 46, no. Serie II, 6 p. ISSN: 0009-725X.
    Detail

  • 1996

    DOUPOVEC M., VONDRA A. Some natural operations between conections on fibred manifolds. Rendiconti del Circolo Matematico di Palermo, 1996, vol. Serie II, no. 39, 11 p. ISSN: 0009-725X.
    Detail

    DOUPOVEC, M., VONDRA, A. Connection, jet prolongation, natural operator, integrability. Rendiconti del Circolo Matematico di Palermo, 1996, vol. 39, no. 0, 12 p. ISSN: 0009-725X.
    Detail

    DOUPOVEC, M., KUREK, J. Liftings of covariant (0,2)-tensor fields to the bundle of k-dimensinal 1-velocities. Rendiconti del Circolo Matematico di Palermo, 1996, vol. 43, no. Serie II, 11 p. ISSN: 0009-725X.
    Detail

    DOUPOVEC, M., VONDRA, A. In New Developments in Differential Geometry. Dordrecht, Netherlands: Kluwer Academic Publishers, 1996. 18 s. ISBN: 0-7923-382-7.
    Detail

    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, 8 p. ISSN: 0365-1029.
    Detail

    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. 17 p. ISBN: 0-7923-3822-7.
    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. 10 p. ISBN: 80-210-1369-9.
    Detail

  • 1994

    DOUPOVEC, M. Natural liftings of (0,2)-tensor fields to the tangent bundle. ARCHIVUM MATHEMATICUM, 1994, vol. 30, no. 3, 11 p. ISSN: 0044-8753.
    Detail

  • 1993

    DOUPOVEC, M., VONDRA, A. On certain natural transformations between connections. In Differential Geometry and Its Applications, Proceedings. Silesian University Opava: Silesian University Opava, 1993. 7 p. ISBN: 80-901581-0-2.
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    DOUPOVEC, M. Natural transformations between TTT*M and TT*TM. CZECHOSLOVAK MATHEMATICAL JOURNAL, 1993, vol. 43, no. 118, 15 p. ISSN: 0011-4642.
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  • 1991

    DOUPOVEC, M., KOLÁŘ, I. Natural afinors on time-dependent Weil bundles. ARCHIVUM MATHEMATICUM, 1991, vol. 27, no. b, 6 p. ISSN: 0044-8753.
    Detail

    DOUPOVEC, M. Natural transformations between $T^2_1T^*M$ and $T^*T^2_1M$. Annales Polonici Mathematici, 1991, vol. 56, no. 1, 11 p. ISSN: 0066-2216.
    Detail

  • 1990

    DOUPOVEC, M. Natural operators transforming vector fields to the second order tangent bundle. Mathematica Bohemica, 1990, vol. 115, no. 1, 9 p. ISSN: 0862-7959.
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  • 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. 10 p. 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. 10 p. ISBN: 80-214-0020-X.
    Detail

*) Citace se generují jednou za 24 hodin.