New Developments in Differential Geometry

New Developments in Differential Geometry : Proceedings of the Colloquium on Differential Geometry, Debrecen, Hungary,July 26-30, 1994

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This volume contains 36 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 Janos 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. It includes several results by leading researchers in these fields: on non-commutative geometry, spin bordism groups, Cosserat continuum, field theories, second order differential equations, sprays, natural operators, higher order frame bundles, Sasakian and Kahler manifolds. This book is intended for researchers and postgraduate students whose work involves differential geometry, global analysis, analysis on manifolds, relativity and gravitation and electromagnetic theory.
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Product details

  • Hardback | 437 pages
  • 160 x 240 x 31.75mm | 939g
  • Dordrecht, Netherlands
  • English
  • 1996 ed.
  • X, 437 p.
  • 0792338227
  • 9780792338222

Table of contents

Preface. List of participants. Hypercomplex structures on quaternionic manifolds; D.V. Alekseevsky, S. Marchiafava. Time inversion in physics; T. Antal. Non commutative geometry of GLp-Bundles; A. Asada. Totally umbilical degenerate Monge hypersurfaces of R42; A. Bejancu. The left exactness of the smooth left Puppe sequence; P. Cherenack. A linear connection associated with any second order differential equation field; M. Crampin. Geometry of geodesic tubes on Sasakian manifolds; M. Djoric. Classification of differential (n-1)-forms on an n-dimensional manifold with boundary; W. Domitrz. Natural relations between connections in 2-fibred manifolds; M. Doupovec, A. Vondra. Connections on higher order frame bundles; M. Elzanowski, S. Prishepionok. The differential geometry of Cosserat media; M. Epstein, M. de Leon. The parametric-manifold approach to canonical gravity; G. Fodor, Z. Perjes. Admissible operations and product preserving functors; J. Gancarzewicz, et al. Curvature properties of para Kahler manifolds; E. Garcia-Rio, et al. Four dimensional Osserman Lorentzian manifolds; E. Garcia-Rio, D.N. Kupeli. The eta invariant and the equivariant spin bordism of spherical space form 2 groups; P.B. Gilkey, B. Botvinnik. On locally conformal Kahler structures; T. Kashiwada. Torsion-free connections on higher order frame bundles; I. Kolar. The trace decomposition of tensors of type (1,2) and (1,3); D. Krupka. Higher-order constrained systems on fibred manifolds: An exterior differential systems approach; O. Krupkova. The method of separation of variables for Laplace-Beltrami equation in semi-Riemannian geometry; D.N.Kupeli. A geometrical approach to classical field theories: a constraint algorithm for singular theories; M. de Leon, et al. Noether type theorems in higher order analytical mechanics; R. Miron. The electromagnetic field in the higher order relativistic geometrical optics; R. Miron, T. Kawaguchi. On a Riemannian approach to the order relative entropy; M. Miyata, et al. A differential equation related with some general connections; T. Otsuki. On quasi connections on fibred manifolds; P. Popescu. Diffeomorphism groups of a manifold with boundary; T. Rybicki. Separability of time-dependent second-order equations; W. Sarlet. The field equations of generalized conformally flat spaces of metric g (x, - = e2 (x, , -) ; P.C. Stavrinos, et al. Symmetries of sprays and admissible Lagrangians; J. Szenthe. Curvature of submanifolds in points Finsler spaces; L. Tamassy. Special vector fields on a compact Riemannian manifold; G. Tsagas. Magnetic dynamical systems; C. Udri te, et al. Totally geodesic orbits in homogeneous spaces; Y. Villarroel. Parallel and transnormal curves on surfaces; B. Wegner.
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