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Technology Transfer Office

Prof. RNDr. Jan Slovák, DrSc.

Basic CV Supervisor Qualifications Publications Projects Teaching

Publications issued by MU Press

2010

Inclusions between parabolic geometries

DOUBROV, Boris - SLOVÁK, Jan.
Inclusions between parabolic geometries. Pure and Applied Mathematics Quarterly, Boston, Int. Press, USA. ISSN 1558-8599, 2010, vol. 6, no. 3, pp. 755-780.

2009

Parabolic Geometries I, Background and General Theory

SLOVÁK, Jan - CAP, Andreas.
Parabolic Geometries I, Background and General Theory. Vyd. první. Providence, RI, USA : American Mathematical Society, 2009. 628 pp. Mathematical Surveys and Monographs, 154. ISBN 978-0-8218-2681-2.

2008

Morphisms of almost product projective geometries

HRDINA, Jaroslav - SLOVÁK, Jan.
Morphisms of almost product projective geometries. In Differential geometry and its applications. Vyd. 2008. USA : World Scientific, 2008. ISBN 978-981-279-060-6, pp. 243-251. 2007, Olomouc.

Winter School Geometry and Physics 2008

ČADEK, Martin - SLOVÁK, Jan - SOUČEK, Vladimír - VANŽURA, Jiří.
Winter School Geometry and Physics 2008. 2008. CZE, Srní, Česká republika. 12.1.2008 - 19.1.2008, Worldwide Activity.

2007

Winter School Geometry and Physics 2007

ČADEK, Martin - SLOVÁK, Jan - SOUČEK, Vladimír - SOMBERG, Petr.
Winter School Geometry and Physics 2007. 2007. CZE, Srní, Česká republika. 13.1.2007 - 20.1.2007, Worldwide Activity.

2006

Generalized planar curves and quaternionic geometry

SLOVÁK, Jan - HRDINA, Jaroslav.
Generalized planar curves and quaternionic geometry. Annals of Global Analysis and Geometry, Springer, The Nederlands. ISSN 0232-704X, 2006, vol. 2006, no. 29, pp. 349-360.

2004

On distinguished curves in parabolic geometries

ČAP, Andreas - SLOVÁK, Jan - ŽÁDNÍK, Vojtěch.
On distinguished curves in parabolic geometries. Transformation Groups, Boston, Birkhauser, USA. ISSN 1083-4362, 2004, vol. 9, no. 2, pp. 143-166.

Preferred parametrizations on homogeneous curves

SLOVÁK, Jan - EASTWOOD, Michael G..
Preferred parametrizations on homogeneous curves. Commentationes mathematicae universitatis carolinae, Praha, Univerzita Karlova v Praze. ISSN 0021-8693, 2004, vol. 45, no. 4, pp. 597-606.

2003

Addendum to `The geometry of hyperbolic and elliptic CR-manifolds of codimension two'

SLOVÁK, Jan - SCHMALZ, Gerd.
Addendum to `The geometry of hyperbolic and elliptic CR-manifolds of codimension two'. The Asian Journal of Mathematics, Boston, International Press, USA. ISSN 1093-6106, 2003, vol. 7, no. 3, pp. 303-306.

Weyl structures for parabolic geometries

SLOVÁK, Jan - CAP, Andreas.
Weyl structures for parabolic geometries. Mathematica Scandinavica, Aarhus, Aarhus Universitet, Denmark. ISSN 0025-5521, 2003, vol. 93, no. 1, pp. 53-90.

2001

Bernstein-Gelfand-Gelfand sequences

SLOVÁK, Jan - CAP, Andreas - SOUČEK, Vladimír.
Bernstein-Gelfand-Gelfand sequences. Annals of Mathematics, Princeton University, The Johns Hopkins University Press, USA. ISSN 0003-486X, 2001, vol. 154, no. 1, pp. 97-113.

2000

Bernstein-Gelfand-Gelfand sequences

SLOVÁK, Jan.
Bernstein-Gelfand-Gelfand sequences. In International Conference on Lie Groups, Geometric Structures and Differential Equations. Kyoto : Kyoto University, 2000. pp. 14-23. December 13-21, RIMS Kyoto and Nara Women's University.

First order invariant differential operators for parabolic geometries

SLOVÁK, Jan - SOUČEK, Vladimír.
First order invariant differential operators for parabolic geometries. In Seminaires & Congres. France : French Math. Soc., 2000. ISBN 2-85629-094-9, pp. 249-273. 31.5.-4.6.1999, Luminy, France.

Invariant operators on manifolds with almost Hermitian symmetric structures, III. Standard operators

SLOVÁK, Jan - CAP, Andreas - SOUČEK, Vladimír.
Invariant operators on manifolds with almost Hermitian symmetric structures, III. Standard operators. Differential Geometry and its Applications, Amsterdam, Elsevier Science, The Nederlands. ISSN 0926-2245, 2000, vol. 12, no. 1, pp. 51-84.

Non-standard invariant operators for quaternionic geometries

SLOVÁK, Jan.
Non-standard invariant operators for quaternionic geometries. In Proceedings, IIIrd International Workshop, Lie Theory and its Applications in Physics III. Singapore : World Scientific Publishing, 2000. ISBN 981-02-4421-5, pp. 87-98. 11.-14.7.1999, Clausthal, Germany.

Parabolic geometries and Bernstein-Gelfand-Gelfand sequences

SLOVÁK, Jan.
Parabolic geometries and Bernstein-Gelfand-Gelfand sequences. In Proceedings of the fourth international workshop on differential geometry. Brasov : Transilvania University Press, 2000. ISBN 973-9474-68-3, pp. 261-266. September 16-22, 1999, Brasov, Romania.

The geometry of hyperbolic and elliptic CR-manifolds of codimension two

SLOVÁK, Jan - SCHMALZ, Gerd.
The geometry of hyperbolic and elliptic CR-manifolds of codimension two. The Asian Journal of Mathematics, Boston, International Press, USA. ISSN 1093-6106, 2000, vol. 4, no. 3, pp. 565-598.

1999

Invariant local twistor calculus for quaternionic structures and related geometries

SLOVÁK, Jan - GOVER, A.R..
Invariant local twistor calculus for quaternionic structures and related geometries. Journal of Geometry and Physics, Amsterdam, Elsevier Science, The Nederlands. ISSN 0393-0440, 1999, vol. 32, no. 1, pp. 14-56.

1998

Invariant operators and semi-holonomic Verma modules

SLOVÁK, Jan.
Invariant operators and semi-holonomic Verma modules. Singapore : World Scientific, 1998. 10 pp. Lie theory and its applications in physics II. ISBN 9810235399.

1997

Invariant operators on structures with almost Hermitian symmetric structures. I. Invariant differentiation.

SLOVÁK, Jan - CAP, Andreas - SOUČEK, Vladimír.
Invariant operators on structures with almost Hermitian symmetric structures. I. Invariant differentiation. Acta Math. Univ. Comenianae, Slovakia. ISSN 0862-9544, 1997, vol. 66, no. 1, pp. 33-69.

Invariant operators on structures with almost Hermitian symmmetric structures. II. Normal Cartan connections.

SLOVÁK, Jan - CAP, Andreas - SOUČEK, Vladimír.
Invariant operators on structures with almost Hermitian symmmetric structures. II. Normal Cartan connections. Acta Math. Univ. Comenianae, Slovakia. ISSN 0862-9544, 1997, vol. 66, no. 2, pp. 203-220.

Semiholonomic Verma modules

SLOVÁK, Jan - EASTWOOD, Michael G..
Semiholonomic Verma modules. Journal of Algebra, USA. ISSN 0021-8693, 1997, vol. 197, no. 2, pp. 424-448.

1996

On local flatness of manifolds with AHS-structures

SLOVÁK, Jan - CAP, Andreas.
On local flatness of manifolds with AHS-structures. Supplemento ai Rendiconti del Circolo Matematico di Palermo,Serie II, Palermo, Italy. ISSN 0009-725X, 1996, vol. 1996, no. 43, pp. 95-102.

On the Geometry of Almost Hermitian Symmetric Structures

SLOVÁK, Jan.
On the Geometry of Almost Hermitian Symmetric Structures. In Differential Geometry and Applications Proceedings. Brno : Masarykova univerzita Brno, 1996. ISBN 80-210-1369-9, pp. 191-206.

Principal prolongations and geometries modeled on homogeneous spaces

SLOVÁK, Jan.
Principal prolongations and geometries modeled on homogeneous spaces. Archivum Mathematicum, Brno, MU Brno. ISSN 0044-8753, 1996, vol. 32, no. 4, pp. 325-342.

The Principal Prolongations of First Order G-structures

SLOVÁK, Jan.
The Principal Prolongations of First Order G-structures. Supplemento ai Rendiconti del Circolo Matematico di Palermo,Serie II, Italy. ISSN 0009-725X, 1996, vol. 1996, no. 39, pp. 123-131.

1995

On multilinear operators commuting with Lie derivatives

SLOVÁK, Jan.
On multilinear operators commuting with Lie derivatives. Annals of Global Analysis and Geometry, Germany. ISSN 0232-704X, 1995, vol. 13, no. 1, pp. 251-279.

1993

Infinitesimally natural operators are natural

SLOVÁK, Jan - CAP, A..
Infinitesimally natural operators are natural. Differential Geometry and its Applications, The Nederlands. ISSN 0926-2245, 1993, vol. 2, no. 1, pp. 45-55.

Invariant operators on pseudo-Riemannian manifolds

SLOVÁK, Jan.
Invariant operators on pseudo-Riemannian manifolds. Commentationes Mathematicae Universitatis Carolinae. ISSN 0010-2628, 1993, vol. 33, no. 1, pp. 269-276.

Natural Operations in Differential Geometry

KOLÁŘ, Ivan - SLOVÁK, Jan - MICHOR, Peter W..
Natural Operations in Differential Geometry. Berlin-Heidelberg-New York : Springer-Verlag, 1993. 434 pp. ISBN 3-540-56235-4.

Natural operators a conformal manifolds

SLOVÁK, Jan.
Natural operators a conformal manifolds. In Proceedings of the confer. on Differ.Geometry and its Appl. Opava : Silesian university, 1993. ISBN 80-901581-0-2, pp. 335-349.

On invariant operations on a manifolds with connection or metric

SLOVÁK, Jan.
On invariant operations on a manifolds with connection or metric. Journal of Differential Geometry, USA. ISSN 0022-040X, 1993, vol. 36, no. 1, pp. 633-650.

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