New Developments In Differential Geometry: Proceedings Of The Colloquium On Differential Geometry, Debrecen, Hungary,july 26-30, 1994 (mathematics And Its Applications)

This volume contains thirty-six research articles presented at the Colloquium on Differential Geometry, which was held in Debrecen, Hungary, July 26-30, 1994. The conference was a continuation in the series of the Colloquia of the J?nos Bolyai Society. The range covered reflects current activity in differential geometry. The main topics are Riemannian geometry, Finsler geometry, submanifold theory and applications to theoretical physics. Includes several interesting results by leading researchers in these fields: e.g. on non-commutative geometry, spin bordism groups, Cosserat continuum, field theories, second order differential equations, sprays, natural operators, higher order frame bundles, Sasakian and K?hler manifolds. Audience: This book will be valuable for researchers and postgraduate students whose work involves differential geometry, global analysis, analysis on manifolds, relativity and gravitation and electromagnetic theory. Cover......Page 1 Title......Page 3 Table of contents......Page 5 Preface......Page 8 List of participants......Page 9 Hypercomplex Structures on Quaternionic Manifolds - D.V.Alekseevsky and S.Marchiafava......Page 10 Time Inversion in Physics - Tamas Antal......Page 30 Non Commutative Geometry of GL/r Bundles - A.Asada......Page 34 Totally Umbilical Degenerate Monge Hypersurfaces of B - A.Bejancu......Page 60 The Left Exactness of the Smooth Left Puppe Sequence - P.Cherenack......Page 68 A Linear Connection Associated with Any Second Order Differential Equation Field - M. Crampin......Page 86 Geometry of Geodesic Tubes on Sasakian Manifolds - M.Djoric......Page 96 Classification of Differential (n-l)-forms on an /i-dimensional Manifold with Boundary - W. Domitrz......Page 112 Natural Relations between Connections in 2-fibred Manifolds - M.Doupovec and A.Vondra......Page 122 Connections on Higher Order Frame Bundles - M.Elianowski and S.Prishepionok......Page 140 The Differential Geometry of Cosserat Media - M.Epstein and M. De Leon......Page 152 The Parametric-Manifold Approach to Canonical Gravity - G.Fodor and Z.Perjes......Page 174 Admissible Operations and Product Preserving Functors - J.Gancarzewicz, W.Mikulski......Page 188 Curvature Properties of Para Kahler Manifolds - E.Garcia-Rio, L.Hervella and R.Vasquez-Lorenzo......Page 202 Four Dimensional Osseiman Lorentzian Manifolds - E.Garcia-Rio and D.Kupeli......Page 210 The Eta Invariant and the Equivariant Spin Bordism of Spherical Space - form 2 Groups - P.B.Gilkey and B.Botvinnik......Page 222 On Locally Conformal Kahler Structures - T.Kashixvada......Page 234 Torsion-Free Connections on Higher Order Frame Bundles - I. Kolar......Page 242 The Trace Decomposition of Tensors of Type (1,2) and (1,3) - D. Krupka......Page 252 Higher-Order Constrained Systems on Fibred Manifolds: An Exterior Differential Systems Approach - O.Krupkova......Page 264 The Method of Separation of Variables for Laplace-Beltrami Equation in Semi-Riemannian Geometry - D.N.Kupeli......Page 288 A Geometrical Approach to Classical Field Theories: A Constraint Algorithm for Singular Theories - Manuel de Leon, .........Page 300 Noether Type Theorems in Higher Order Analytical Mechanics - R. Miron......Page 322 The Electromagnetic Field in the Higher Order Relativistic Geometrical Optics - R.Miron and T.Kawaguchi......Page 328 On a Riemannian Approach to the Order Relative Entropy - M.Miyata, K.Kato, M.Yamada and T.Kawaguchi......Page 334 A Differential Equation Related with Some General Connections - T.Otsuki......Page 344 On Quasi Connections on Fibred Manifolds - P.Popescu......Page 352 Diffeomorphism Groups of a Manifold with Boundary - T.Rybicki......Page 362 Separability of Time-Dependent Second-Order Equations - W.Sarlet......Page 372 The Field Equations of Generalized Confoimally Flat Spaces of Metric - P.Stavrinos, V.Balan and N.Prezas......Page 382 Symmetries of Sprays and Admissible Lagrangians - J.Szenthe......Page 388 Curvature of Submanifolds in Points Finsler Spaces - L.Tamassy......Page 400 Special Vector Fields on a Compact Riemannian Manifold - G.Tsagas......Page 408 Magnetic Dynamical Systems - Udrite A. Udrite V. Balan and M. Postolache......Page 416 Totally Geodesic Orbits in Homogeneous Spaces - Y. Villarroel......Page 424 Parallel and Transnormal Curves on Surfaces -B.Wegner......Page 432 Back cover ......Page 447 This volume contains thirty-six research articles presented at the Colloquium on Differential Geometry, which was held in Debrecen, Hungary, July 26-30, 1994. The conference was a continuation in the series of the Colloquia of the János Bolyai Society. The range covered reflects current activity in differential geometry. The main topics are Riemannian geometry, Finsler geometry, submanifold theory and applications to theoretical physics. Includes several interesting results by leading researchers in these fields: e.g. on non-commutative geometry, spin bordism groups, Cosserat continuum, field theories, second order differential equations, sprays, natural operators, higher order frame bundles, Sasakian and Kähler manifolds. Audience: This book will be valuable for researchers and postgraduate students whose work involves differential geometry, global analysis, analysis on manifolds, relativity and gravitation and electromagnetic theory. Proceedings of the Colloquium on Differential Geometry, Debrecen, Hungary, July 26-30, 1994