New Developments in Differential Geometry, Budapest 1996: Proceedings of the Conference on Differential Geometry, Budapest, Hungary, July 27-30, 1996

ISBN-13: 9780792353072 / Angielski / Twarda / 1998 / 519 str.

Jbanos Szenth;Conference on Differential Geometry; Janos Szenthe

Opis

In succesion to former international meetings on differential geometry held in Hungary and also as a satellite conference of ECM96, the European Mathematical Congress, a Conference on Differential Geometry took place in Budapest from July 27 to July 30, 1996. The host of the Conference was Lorand Eotvos University. The Conference had the following Programme Committee: D.V. Alekseevsky, J.J. Duistermaat, J. Eells, A. Haefliger, O. Kowalski, S. Marchifava, J. Szenthe, L. Tamassy, L. Vanhecke. The participants came mainly from Europe and their total number was 190. The programme included plenary lectures by J. Eliashberg, S. Gallot, O. Kowalski, B. Leeb, and also 135 lectures in 4 sections. The social events, an opening reception and a farewel party, presented inspiring atmosphere to create scientific contacts and also for fruitful discussions. In preparation of the Conference and during it B. Csikos and G. Moussong were constanly ready to help. The present volume contains detailed versions of lectures presented at the Conference and also a list of participants. The subjects cover a wide variety of topics in differential geometry and its applications and all of them contain essential new developments in their respective subjects. It is my pleasant duty to thank the participants who contributed to the success of the Conference, especially those who offered us their manuscripts for publication and also the referees who made several important observa tions. The preparation of the volume was managed with the assistance of E. Daroczy-Kiss.

Spis treści

Preface. List of Participants. On the Theory of Almost Grassmann Structures; M.A. Akivis, V.V. Goldberg. Homogeneous Spaces: From the Classical to the Quantum Case; A. Arvanitoyeorgos, D. Ellinas. Harmonic Spinors and Topology; C. Bär. Harmonic Maps between Almost Para-Hermitian Manifolds; C.-L. Bejan, M. Benyounes. Frölicher Spectral Sequence of Compact Nilmanifolds with Nilpotent Complex Structure; L.A. Cordero, et al. Equivariant Isometric Immersions; B. Csikós. Coeffective Cohomology of Quaternionic Kähler Manifolds; M. Fernández, et al. Notes on Harmonic Tensor Fields; E. García-Río, et al. Harmonic Maps and f-Structures with Parallelizable Kernels; S. Ianus, A.M. Pastore. On the Betti Numbers of a Generalized Hopf Manifold; T. Kashiwada. On Isocurved Deformations of a Homogeneous Riemannian Space; O. Kowalski. Fibre Integral in Regular Lie Algebroids; J. Kubarski. On Semi-Riemannian Submersions; D.N. Kupeli. Metric Covering Spaces and Applications; D. Lappas. Time-Dependent Mechanical Systems with Non-Linear Constraints; M. de León, et al. On Uniqueness of Constant Mean Curvature Surfaces with Planar Boundary; R. López. Isometric Semiparallel Immersions of Two-Dimensional Riemannian Manifolds into Pseudo-Euclidean Spaces; Ü. Lumiste. On Characterization of Lipschitz Manifolds; J. Malesic, D. Repovs. On Projective Transformations of Riemannian Spaces with Harmonic Curvature; J. Mikes, Z. Radulovic. On the Equation Defining Isothermic Surface in Laguerre Geometry; E. Musso, et al. Induced Hopf Bundles and Einstein Metrics; L. Ornea, P. Piccinni. Connection on A-Bundles; M.H. Papatriantafillou. Induced Semi-Sprays and Connections on Submanifolds. M. Popescu.Generalized Algebroids; P. Popescu. Quantum and Integral Bordism Groups in the Navier&endash;Stokes Equation; A. Pra'staro. Optimal Control Problems on Matrix Lie Groups; M. Puta. Submanifolds with Restrictions on Q-Ricci Curvature; V.Yu. Rovenski. Weyl's Volume of the Tube Formula without Invariant Theory; S.Yu. Sadov. Two Applications of a Method of Transplantation in Riemannian Geometry; A. Savo. Cetroaffine Differential Geometry of (Positive) Definite Oriented Surfaces in R4&x;; C. Scharlach. Dynamics Induced by a Magnetic Field; A. Udriste, C. Udriste. Convex Programs on Finsler Manifolds; E. Vassiliou. On Orbits of Symmetric Subgroups in Riemannian Symmetric Spaces; L. Verhóczki. On Leaves of Transversally Affine Foliations; R. Wolak. Equivalence Problem via Nash&endash;Moser Theorem; A. Zajtz.