Bibliographic Information

Differential geometry and its applications

edited by J. Szenthe and L. Tamássy

(Colloquia Mathematica Societatis János Bolyai, 56)

North-Holland , János Bolyai Mathematical Society, 1992

  • : North-Holland
  • : Bolyai

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Note

"A Colloquium took place in Eger from August 20 to August 25, 1989"--Pref

Includes bibliographical references

Description and Table of Contents

Description

Among the many topics covered in this volume are Riemannian geometry, Finsler geometry, the theory of submanifolds and applications of differential geometry in mathematical physics.

Table of Contents

Riemannian Manifolds of Cohomogeneity One (D.V Alekseevsky). Cross-Section Submanifolds in Vector Bundles (M. Anastasiei). Characteristic Classes of Loop Group Bundles and Generalized String Classes (A. Asada). Eisenhart's Problem on the Cotangent Bundle (G. Atanasiu). Metrical Almost Product Structures on the Cotangent Bundle (G. Atanasiu, F.C. Klepp). Pseudoconvexity in Lorentzian Geometry (J.K. Beem). The Bochner Curvature Tensor on a Hyperbolic Kahler Manifold (C.L. Bejan). Generalized Gauge Theories (A. Bejancu). Geodesic Balls and Chern Numbers of Kahler Manifolds (N. Blazic). Curvature Invariants and Applications (N. Bokan). Adapted Basis in D Recurrent Lagrange Spaces (I. Comic). Examples of Spaces of Connections and Universal Connections (L.A. Cordero et al.). Supergravity, Supersymmetry: a Geometric Unitary Spinor Theory (A. Crumeyrolle). Connections Deduced from Mechanical System of Second Order (A. Dekret). On some Construction of Harmonic Maps between Pseudo-Riemannian Manifolds (L. Di Terlizzi, J.J. Konderak). Metric Fibrations of Lobachevsky-Bolyai Space (V.A. Efremovic, E.M. Gorelik). Reducibility of G-Invariant Linear Connections in Principal G-Bundles (M. Ferraris et al.). Some Properties of Surface with Zero Normal Torsion in Euclidean Space (V.T. Fomenko). Projective Structures in Sinyukov Manifolds (S. Formella). Horizontal Lift of Linear Connections to Vector Bundles Associated with the Principal Bundle of Linear Frames (J. Gancarcewicz, N. Rahmani). Functorality and Heat Equation Asymptotics (P.B. Gilkey). Rank Problems for Webs W(d,2,r) (V.V. Goldberg). Backlund Transformations, Matrix-Riccati Systems and Isometric Immersions of Space Forms into Space Forms (H. Gollek). Abstract Poisson Structures and Star-Products (J. Grabowski). On the Harmonic Rank of a Riemannian Structure (TH. Hangan). On a Concept of (P)-Reducibility in Finsler spaces (H. Kawaguchi). Finslerian Approach to Lagrange Mechanics (T. Kawaguchi). On Quasi-Equivalence of Two Variational Problems in Hamilton Spaces (M.Sz. Kirkovits). Some Gauge-Natural Operators on Connections (I. Kolar). Pseudoconnections on an Almost Complex Manifold (Z. Kovacs). On Osculation of Homogeneous Connections (L. Kozma). On Hypersurfaces in Hyperquadrics (S. Markvorsen). All Unitary Representations Admit Moment Mappings (P.W. Michor). Geodesic Mappings of Affine-Connected Spaces onto Riemannian Spaces (J. Mikes, V. Berezovski). On the Generalized Hamilton Spaces (R. Miron). On Isometries of Space Forms (E. Molnar). Some Non-Symmetric Manifolds (G. Moussong). The Bianchi Identities and Curvature Tensors of Otsuki Spaces (D.F. Nadj). On the Decomposition of Curvature Tensor Fields on Hermitian Manifolds (S. Nikcevic). Isometric Immersion with Homothetical Gauss Map (S. Nolker). Codimension Reduction Problem for Real Submanifold of Complex Projective Space (M. Okumura). On the Holonomy Group of the Normal Connection (C. Olmos).

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