prof. RNDr. Miroslav Doupovec, CSc., dr. h. c. |
|
|  |
Education and academic qualification
- 1979-1984: study of mathematical analysis at the Masaryk University in Brno
- 1984: the RNDr. degree, Masaryk University in Brno
- 1988-1991: doctoral study, Mathematical Institute of the Czech Academy of Sciences
- 1991: the CSc degree (Ph.D.) in geometry and topology, Charles University in Prague
- 1998: the doc. degree (habilitation) in mathematics, Brno University of Technology, dissertation Some geometrical constructions in differential geometry
- 2010: the prof. degree in applied mathematics, Brno University of Technology
- 2012: dr. h. c., State Technical University, Izhevsk, Russia
- 2017: dr. h. c., Technical University of Košice, Slovakia
|
Career overview
- 1984: Tesla Brno, Assistant
- 1984-1986: Šmeral Factory Brno, Computer analyst
- since 1986: Faculty of Mechanical Engineering (FME), Brno University of Technology
- 1986-1988: Lecturer, Brno University of Technology
- 1988-1998: Assistant Professor, Brno University of Technology
- 1998-2010: Associate Professor, Brno University of Technology
- since 2010: Professor, Brno University of Technology
|
Pedagogic activities
- BSC study programme: Mathematics, Numerical methods
- MSC study programme, study branch Mathematical Engineering: Differential Geometry, Tensor Calculus
- MSC Thesis supervised in differential geometry (including applications)
- Ph.D. Thesis supervised in differential geometry
|
Scientific activities
- Differential geometry and its applications.
- Natural operators, connections, jets.
- Prolongation of geometrical structures on fibered manifolds.
|
University activities
- 02/2000-01/2006: Vice-dean for study courses, Faculty of Mechanical Engineering, Brno University of Technology
- 02/2006-01/2014: Dean of Faculty of Mechanical Engineering
- since 02/2014: vice-rector of Brno University of Technology for Studies and Student Affairs
- since 2001: Member of the Scientific board of the Faculty of Mechanical Engineering, Brno University of Technology
- since 03/2006: Member of the Scientific board of the Faculty of Science, Masaryk University in Brno
- 03/2006: Member of the Scientific board of the Faculty of Mechanical Engineering, VŠB Technical University Ostrava
- 02/2007-01/2019: Member of the Scientific board of the Faculty of Mechanical Engineering, Technical University Košice
- 02/2010-01/2014: Member of the Scientific board of the Faculty of Mechanical Engineering, Technical University of Prague
- since 04/2010: Member of the Scientific board of Brno University of Technology
- 03/2011-01/2015: Member of the Scientific board of the Faculty of Mechanical Engineering, Technical University Bratislava
- since 01/2013: Member of the Scientific board of the Faculty of Business and Management, Brno University of Technology
- since 01/2013: Member of the Scientific board of Technical Museum in Brno
- since 02/2018: Member of the Scientific Board of the Czech Technicval University in Prague
|
Prizing by scientific community
|
Sum of citations (without self-citations) indexed within ISI Web of Knowledge
33
|
Sum of other citations (without self-citations)
80
|
Supervised courses:
Publications:
- DOUPOVEC, M.; KUREK, J.; MIKULSKI, W.:
The natural brackets on couples of vector fields and 1-forms, Tubitak
journal article in Web of Science
- DOUPOVEC, M.; KUREK, J.; MIKULSKI, W.:
Vertical functors on fibered manifolds, ELSEVIER
journal article in Web of Science
- DOUPOVEC, M.; KUREŠ, M.:
Some geometric constructions on Frobenius Weil bundles, Elsevier
journal article in Web of Science
- DOUPOVEC, M.; MIKULSKI, W.:
On symmetrization of higher order jets,
Miskolc Mathematical Notes, Vol.14, (2013), No.2, pp.495-502, ISSN 1787-2405
journal article - other
- DOUPOVEC, M.; MIKULSKI, W.:
On prolongation of higher order connections,
Annales Polon.Math., Vol.102, (2011), No.3, pp.279-292, ISSN 0066-2216
journal article - other
- DOUPOVEC, M.; KOLÁŘ, I.; MIKULSKI, W.:
On the jets of foliation respecting maps,
Czechoslovak Mathematical Journal, Vol.60, (2010), No.4, pp.951-960, ISSN 0011-4642
journal article - other
- DOUPOVEC, M.; MIKULSKI, W.:
Reduction Theorems for Principal and Classical Connections,
Acta Mathematica Sinica, Vol.26, (2010), No.1, pp.169-184, ISSN 1439-8516
journal article - other
- DOUPOVEC, M.; MIKULSKI, W.:
Holonomic extension of connections and symmetrization of jets,
Reports on Mathematical Physics, Vol.60, (2007), No.2, pp.299-316, ISSN 0034-4877
journal article - other
- DOUPOVEC, M., KOLÁŘ, I.:
Iteration of fiber product preserving bundle functors,
Monatshefte fuer Mathematik, Vol.134, (2001), No.1, pp.39-50, ISSN 0026-9255
journal article - other
List of publications at Portal BUT
- DOUPOVEC, M.; MIKULSKI, W.:
On symmetrization of higher order jets,
Miskolc Mathematical Notes, Vol.14, (2013), No.2, pp.495-502, ISSN 1787-2405
journal article - other
We discuss geometric constructions transforming r-th order semiholonomic or nonholonomic jets into holonomic ones.
- DOUPOVEC, M.; MIKULSKI, W.:
On prolongation of higher order connections,
Annales Polon.Math., Vol.102, (2011), No.3, pp.279-292, ISSN 0066-2216
journal article - other
We describe all bundle functors G admitting natural operators transforming r-th order holonomic connections on a fibered manifold $Y\to M$ into r-th order holonomic connections on $GY\to M$. For second order holonomic connections we classify all such natural operators.
- DOUPOVEC, M.; KOLÁŘ, I.; MIKULSKI, W.:
On the jets of foliation respecting maps,
Czechoslovak Mathematical Journal, Vol.60, (2010), No.4, pp.951-960, ISSN 0011-4642
journal article - other
Using Weil algabra techniques, we determine all finite dimensional homomorphic images of germs of foliation respecting maps.
- DOUPOVEC, M.; MIKULSKI, W.:
Reduction Theorems for Principal and Classical Connections,
Acta Mathematica Sinica, Vol.26, (2010), No.1, pp.169-184, ISSN 1439-8516
journal article - other
We prove general reduction theorems for gauge natural operators transforming principal connections and classical linear connections on the base manifold into sections of an arbitrary gauge natural bundle. Then we apply our results to the principal prolongation of connections. Finally we describe all such gauge natural operators for some special cases of a Lie group G.
- DOUPOVEC, M., KOLÁŘ, I.:
Iteration of fiber product preserving bundle functors,
Monatshefte fuer Mathematik, Vol.134, (2001), No.1, pp.39-50, ISSN 0026-9255
journal article - other
Using the theory of Weil algebras, we describe the composition of two product preserving bundle functors on the category of fibered manifolds with m-dimensional bases and fiber preserving maps with local diffeomorphisms as base maps. Then we deduce certain interesting geometric properties of the natural transformations of some of the iterated functors.
