Differential Geometry and Its Applications

Proceedings of the 5th International Conference, August 24-28, 1992, Opava, Czechoslovakia

Copyright © 1993 by Open Education & Sciences, Opava, Czech Republic

Contents

Preface

Part I. Analysis and Topology on Manifolds

• S. Armas-Gomez, J. Margalef-Roig, E. Outerelo-Dominguez, E. Padron-Fernandez, Openess and density theorems of transversality in manifolds with corners ... 3-12 Abs DVI PS
• X. Gual Arnau, Measure of linear spaces and total curvatures of compact anti-invariant submanifolds in $\Bbb C^n$ ... 13-22 Abs DVI PS Add
• S. Helgason, The Fourier transform on symmetric spaces and applications ... 23-28 Abs DVI PS
• P. Libermann, On symplectic and contact groupoids ... 29-45 Abs DVI PS
• A. Tralle, On compact homogenous spaces with non-vanishing Massey products ... 47-50 Abs DVI PS
• Tran Quyet Thang, Cousin problem for monogenic functions with parameter in Clifford analysis ... 51-57 Abs (Full text not available in electronic form)

Part II. Differential Equations on Manifolds

• M. van den Berg, S. Desjardins, P. Gilkey, Heat content asymptotics of Riemannian manifolds ... 61-64 Abs DVI PS Add
• F.J. Bloore, T.J. Harding, Isomorphism of de Rham cohomology and relative Hochschild cohomology of differential operators ... 65-70 Abs DVI PS Fig1 Fig2 (Two drawings in PS format)
• L. Klapka, The inversion of Whitehead's theorem on convex regions ... 71-74 Abs DVI PS
• O. Krupkova, Liouville and Jacobi theorems for vector distributions ... 75-87 Abs DVI PS Add
• O. Krupkova, A. Vondra, On some integration methods for connections on fibered manifolds ... 89-101 Abs DVI PS
• M. Marvan, On zero-curvature representations of partial differential equations ... 103-122 Abs DVI PS Add
• W. Sarlet, E. Martinez, A. Vandecasteele, Calculus of forms along a map adapted to the study of second-order differential equations ... 123-133 Abs DVI PS

Part III. Geodesic and Projective Mappings

• M. Haddad, Holomorphically-projective mappings of T-quasisemisymmetric and generally symmetric Kahlerian spaces ... 137-141 Abs DVI PS
• J. Mikes, Global geodesic mappings and their generalizations for compact Riemannian spaces ... 143-149 Abs DVI PS Add
• Z. Radulovic, J. Mikes, Geodesic and holomorphically projective mappings of conformally Kahlerian spaces ... 151-156 Abs DVI PS Add
• M. Shiha, On the theory of holomorphically-projective mappings of parabolically-Kahlerian spaces ... 157-160 Abs DVI PS

Part IV. Geometric Methods in Physics

• S. Benenti, Orthogonal separable dynamical systems ... 163-184 Abs DVI PS
• P. Bona, On nonlinear quantum mechanics ... 185-192 Abs DVI PS
• F. Cantrijn, A reduction property for a class of mechanical systems with friction ... 193-200 Abs DVI PS
• G.S. Hall, Space-times and holonomy groups ... 201-210 Abs DVI PS
• M. Mikkelsen, Some results on standard static space-times with perfect fluid ... 211-220 Abs (Full text not available in electronic form)
• J. Novotny, J. Horsky, Generation method for solutions of Einstein-Maxwell equations and its geometrical background ... 221-226 Abs DVI PS
• B. Przybylski, Complex Poisson manifolds ... 227-241 Abs DVI PS Add
• S. Reuter, H.-J. Schmidt, On the Wheeler-de Witt equation for homogeneous cosmological models ... 243-254 Abs DVI PS

Part V. Natural Bundles and Natural Differential Operators

• E. Aguirre-Daban, I. Sanchez-Rodriguez, On structure equations for second order connections ... 257-264 Abs DVI PS
• A. Dekret, Natural connections of 1-forms on tangent bundles ... 265-271 Abs DVI PS
• M. Doupovec, A. Vondra, On certain natural transformations between connections ... 273-279 Abs DVI PS
• J. Gancarzewicz, W. Mikulski, Z. Pogoda, Natural bundles and natural liftings prolongations of geometric structures ... 281-320 Abs DVI PS
• M. Krupka, On the order reduction of differential invariants ... 321-334 Abs DVI PS
• J. Slovak, Natural operators on conformal manifolds ... 335-349 Abs DVI PS

Part VI. Riemannian and K\"ahlerian Geometry

• J. Berndt, L. Vanhecke, Naturally reductive Riemannian homogeneous spaces and real hypersurfaces in complex and quaternionic space forms ... 353-364 Abs DVI PS
• M. Frydrych, Decomposable elements in eigenspaces of the curvature operator ... 365-367 Abs DVI PS
• S. Ivanov, On Radon's theorem for affine Kaehler immersions ... 369-376 Abs DVI PS Add
• J.C. Marrero, J. Rocha, On a special class of hermitian manifolds ... 377-386 Abs DVI PS
• S. Salamon, Index theory and quaternionic Kahler manifolds ... 387-404 Abs DVI PS Add
• A. Simonsen, Inverse spectral geometry of toroidal warped products ... 405-414 Abs (Full text not available in electronic form)
• F. Tricerri, L. Vanhecke, Geometry of a class of non-symmetric harmonic manifolds ... 415-426 Abs DVI PS

Part VII. The Calculus of Variations

• P.L. Garcia Perez, J. Munoz Masque, Lagrangian densities invariant under the full Lie algebra of the infinitesimal automorphisms of a principal bundle ... 429-437 Abs DVI PS
• D.R. Grigore, A geometric lagrangian formalism for extended objects ... 439-448 Abs DVI PS
• J. Klein, On variational second order differential equations; polynomial case ... 449-459 Abs (Full text not available in electronic form)
• I. Kolar, Natural operators related with the variational calculus ... 461-472 Abs DVI PS
• D. Krupka, Topics in the calculus of variations: Finite order variational sequences ... 473-495 Abs DVI PS
• M. de Leon, J.C. Marrero, Degenerate time-dependent Lagrangians of second order: the fourth order differential equation problem ... 497-508 Abs DVI PS
• M. de Leon, M.H. Mello, P.R. Rodrigues, Reduction of singular Lagrangians of higher-order ... 509-521 Abs DVI PS
• J. Stefanek, Odd variational sequences on finite order jet spaces ... 523-538 Abs DVI PS

Published by Silesian University Opava, Czech Republic in co-edition with Open Education & Sciences, Opava, Czech Republic

ISBN 80-901581-0-2