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Monographs

[A] Kolar, I.; Michor, P.W.; Slovak, J., Natural operations in differential geometry, electronic edition at the EMIS, www.emis.de, (DVI file with hypertext specials, Postcript, or PDF hypertext), Originally: Springer-Verlag, Berlin-Heidelberg-New~York, 1993, vi+434 pp

[A'] Kolar, I.; Michor, P.W.; Slovak., J., Estestvenye operatii v diferencial'noy geometrii, russion translation of the Springer edition of [A], Seriya monografii "Metody matematicheskogo modelirovaniya", vol. 10, TIMPANI, Kiev-Moskva, 2001, 447 pp

Research Lecture Notes

[B] Slovak, J., Invariant operators on conformal manifolds, Research Lecture Notes, University of Vienna, 138 pages, 1992, (extended and revised version submitted as habilitation thesis at Masaryk University in Brno, 1993)

[C] Slovak, J. Parabolic Geometries, Research Lecture Notes, Part of DrSc-dissertation, Masaryk University, 1997, 70pp, IGA Preprint 97/11 (University of Adelaide)

Scientific Papers in International Journals and Proceedings

[1] Slovak, J., Smooth structures on fibre jet spaces, Czech. Math. Journal, 36, 1986, 358-375

[2] Slovak, J., Prolongations of connections and sprays with respect to Weil functors, Proceedings of the Winter School on Geometry and Physics, Srni 1987, Suppl. Rendiconti Circolo Mat. Palermo, Serie II, No 14, 143-155

[3] Slovak, J., On the finite order of some operators, Proceedings of the Conference on Differential Geometry and its Applications, 1986, Brno, 1987, 283-294

[4] Slovak, J. Peetre theorem for nonlinear operators, Annals of Global Annal. and Geom., 6, 1988, 273-283

[5] Kolar, I; Slovak, J., On the geometric functors on manifolds, Proceedings of the Winter School on Geometry and Physics, Srni 1988, Suppl. Rendiconti Circolo Mat. Palermo, Serie II, No 21, 223-233

[6] Slovak, J., On natural connections on Riemannian manifolds, Comment. Math. Universitatis Carolinae, 30, 1989, 389-393

[7] Kolar, I.; Slovak, J., Prolongation of vector fields to jet bundles, Proceedings of the Winter School on Geometry and Physics, Srni 1989, Suppl. Rendiconti Circolo Mat. Palermo, Serie II, No 22, 103-111

[8] Slovak, Jan, Actions of jet groups on manifolds, Proceedings of the Conference on Differential Geometry and its Applications, 1989, Brno, 1990, World Scientific, Singapure, 9pp

[9] Slovak, J, Bundle functors on fibred manifolds, Annals of Global Annal. and Geom., 9, 1991, 129-143

[10] Cap, A.; Slovak, J., Infinitesimally natural operators are natural, Differential Geometry and Its Applications, 2, 1992, 45-55

[11] Slovak, J., On invariant operations on a manifold with connection or metric, J. Diff. Geom., 1992, 36, 633-650

[12] Slovak, J., Invariant operators on pseudo-Riemannian manifolds, Comment. Math. Univ. Carolinae, 33, 269-276, 1992

[13] Slovak, J., Natural operators on conformal manifolds, Proceedings of the Conference on Differential Geometry and its Applications, 1992, Opava, 1993, 335-349

[14] Cap, A.; Slovak, J., On multilinear operators commuting with Lie derivatives, Global Annal. and Geometry, 13, 1995, 251-279

[15] Slovak, J., The principal prolongation of first order G-structures, Proceedings of the Winter School on Geometry and Physics, Srni 1994, Suppl. Rendiconti Circolo Mat. Palermo, 39 (1996), 123-131

[16] Cap, A.; Slovak, J., On local flatness of manifolds with AHS-structures,Proceedings of the Winter School on Geometry and Physics, Srni 1995, Suppl. Rendiconti Circolo Mat. Palermo, 43, (1996), 95-102

[17] Slovak, J., On the geometry of almost hermitian symmetric structures, Proceedings of the Conference on Differential Geometry and Applications, 1995, Brno, 1996, (electronic edition at EMIS) 191-206

[18] Slovak, J. Principal Prolongations and Geometries Modelled on Homogeneous Spaces, Arch. Math. (Brno), 32 (1996), 327-344

[19] Cap, A.; Slovak, J.; Soucek, V, Invariant operators on manifolds with almost hermitian symmetric structures, I. Invariant differentiation, Acta Math. Univ. Comenianae, 66 (1997), 33-69

[20] Cap, A.; Slovak, J.; Soucek, V, Invariant operators on manifolds with almost hermitian symmetric structures, II. The normal Cartan connections, Acta Math. Univ. Comenianae, 66 (1997), 203-220

[21] Eastwood, M.G.; Slovak, J. Semi-holonomic Verma Modules, Journal of Algebra, 197 (1997), 424-448

[22] Slovak, J., Invariant operators and semi-holonomic Verma modules, in Lie theory and its applications to physics II, Proceedings of the II International Workshop, Clausthal, 1997, World Scientific (1998), 130-139

[23] Gover, A. R.; Slovak, J., Invariant Local Twistor Calculus for Quaternionic Structures and Related Geometries, Journal of Geometry and Physics, 32 (1999), 14-56

[24]Cap, A.; Slovak, J; Soucek, V., Invariant operators on manifolds with almost hermitian symmetric structures, III. The standard operators, Diff. Geom. Appl., 12 (2000), 51-84.

[25] Schmalz, G; Slovak, J., The Geometry of Hyperbolic and Elliptic CR-manifolds of codimension two, Asian Journal of Mathematics 4, Nr. 3 (2000), 565-598

[26] Slovak, J.; Soucek, V., First order invariant differential operators for parabolic geometries, Proc. Conf. Analyse harmonique et analyse sur les varietes, 1999, CIRM, Luminy, in Seminaires & Congres, 4, French Math. Soc., (2000), 249-274.

[27] Slovak, J., Bernstein-Gelfand-Gelfand sequences, in Lie Groups, Geometric Structures and Differential Equations - One Hundred Years after Sophus Lie - RIMS Kokyuroku 1150 (2000), 14-23.

[28] Slovak, J.,Non--standard invariant operators for quaternionic geometries, in Lie theory and its applications to physics III (Proceedings of the III International Workshop, Clausthal, 1999), World Scientific (2000), 87-98.

[29] Cap, A; Slovak, J.; Soucek, V., Bernstein-Gelfand-Gelfand sequences, Annals of Mathematics 154, no 1 (2001), 97-113. (for a longer and more detailed version (ESI Preprint 722) click here)

[30] Cap, A; Slovak, J., Weyl structures for parabolic geometries, Math. Scand. 93, (2003), 53-90

[31] Schmalz, G.; Slovak, J., Addendum to `The Geometry of Hyperbolic and Elliptic CR-manifolds of codimension two'', Asian J. Math, 7, no. 3, (2003), 303-306

[32] Cap, A; Slovak, J.; Zadnik, V., On distinguished curves in parabolic geometries, Transform. Groups 9 (2004), no. 2, 143-166

[33] Eastwood, M.G.; Slovak, J. Preferred parametrisations on homogeneous curves, Comment. Math. Univ. Carolin. 45 (2004), no. 4, 597--606.

Editorial

[1] Janyska, J.; Kolar, I.; Slovak, J.; Proceedings of the 6th International Conference Differential Geometry and Applications, Brno, 1995, Masaryk University (1996), electronic edition: European Mathematical Society, EMIS, www.emis.de

[2] Kolar, I.; Krupka, D.; Kowalski, O.; Slovak, J.; Proceedings of the 7th International Conference Differential Geometry and Applications, Satellite Conference of ICM98, Brno, 1998, Masaryk University (1999), electronic edition: European Mathematical Society, EMIS, www.emis.de

[3] Michor, P.W.; Slovak, J., Special volume dedicatied to sixtieth birthday of Professor Ivan Kolar, Arch. Math., Brno 32, No.4 (1996)

[4] Slovak, J., Proceedings of the 15th Winter School `Geometry and Physics', Srni, 1995, Rendiconti di Palermo, Supp., 43 (1996)

[5] Slovak, J., Proceedings of the 16th Winter School `Geometry and Physics', Srni, 1996, Rendiconti di Palermo, Supp., 46 (1997)

[6] Cadek, M.; Slovak, J., Proceedings of the 17th Winter School `Geometry and Physics', Srni, 1997, Rendiconti di Palermo, Supp., 54 (1998)

[7] Cadek, M.; Slovak, J., Proceedings of the 18th Winter School `Geometry and Physics', Srni, 1998, Rendiconti di Palermo, Supp., 59 (1999)

[8] Cadek, M.; Slovak, J., Proceedings of the 19th Winter School `Geometry and Physics', Srni, 1999, Rendiconti di Palermo, Supp., 63 (2000)

[9] Cadek, M.; Slovak, J., Proceedings of the 20th Winter School `Geometry and Physics', Srni, 2000, Rend. Circ. Mat. Palermo (2) Suppl. No. 66 (2001). Circolo Matematico di Palermo, Palermo, 2001. pp. 218

[10] Kowalski, O.; Krupka, D.; Slov�k, J., Differential geometry and its applications. Proceedings of the 8th International Conference held in Opava, August 27--31, 2001. Mathematical Publications, 3. Silesian University at Opava, Opava, 2001. x+492 pp.

[11] Kowalski, O.; Krupka, D.; Slov�k, J., 8th International Conference on Differential Geometry and its Applications. Selected papers from the conference held in Opava, August 27--31, 2001. Differential Geom. Appl. 17 (2002), no. 2-3. North-Holland Publishing Co., Amsterdam, 2002. pp. iii--vi, 111--272

[12] Cadek, M.; Slovak, J., Proceedings of the 21st Winter School `Geometry and Physics'. Srn�, 2001. Rend. Circ. Mat. Palermo (2) Suppl. 2002, no. 69. Circolo Matematico di Palermo, Palermo, 2002. pp. 254.

[13] Cadek, M.; Slovak, J., Proceedings of the 23rd Winter School `Geometry and Physics'. Srn�, 2003. Rend. Circ. Mat. Palermo (2) Suppl. 2004, no. 72. Circolo Matematico di Palermo, Palermo, 2004. pp. 230.

[14] Cadek, M.; Slovak, J., Proceedings of the 24st Winter School `Geometry and Physics'. Srn�, 2004. Rend. Circ. Mat. Palermo (2) Suppl. 2004, no. 75. Circolo Matematico di Palermo, Palermo, 2005. pp. 356.

[15] Bures, J.; Kowalski, O.; Krupka, D.; Slov�k, J., 9th International Conference on Differential Geometry and its Applications. Prague, August, 2004. Conference Proceedings. Charles University in Prague, Prague 2005.