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

This book contains the proceedings of the Conference on Differential Geometry, held in Budapest, 1996. The papers presented here all give essential new results. A wide variety of topics in differential geometry is covered and applications are also studied. Beyond the traditional differential geometry subjects, several popular ones such as Einstein manifolds and symplectic geometry are also well represented. Audience: This volume will be of interest to research mathematicians whose work involves differential geometry, global analysis, analysis on manifolds, manifolds and complexes, mathematics of physics, and relativity and gravitation. Front Matter....Pages i-xii On the Theory of Almost Grassmann Structures....Pages 1-37 Homogeneous Spaces: From the Classical to the Quantum Case....Pages 39-51 Harmonic Spinors and Topology....Pages 53-66 Harmonic Maps Between Almost Para-Hermitian Manifolds....Pages 67-76 Frölicher Spectral Sequence of Compact Nilmanifolds with Nilpotent Complex Structure....Pages 77-102 Equivariant Isometric Immersions....Pages 103-110 Coeffective Cohomology of Quaternionic Kähler Manifolds....Pages 111-121 Notes on Harmonic Tensor Fields....Pages 123-142 Harmonic Maps and F-Structures With Parallelizable Kernel....Pages 143-154 On the Betti Numbers of a Generalized Hopf Manifold....Pages 155-161 On Isocurved Deformations of a Homogeneous Riemannian Space....Pages 163-171 Fibre Integral in Regular Lie Algebroids....Pages 173-202 On Semi-Riemannian Submersions....Pages 203-211 Metric Covering Spaces and Applications....Pages 213-220 Time-Dependent Mechanical Systems With Non-Linear Constraints....Pages 221-234 On Uniqueness of Constant Mean Curvature Surfaces With Planar Boundary....Pages 235-242 Isometric Semiparallel Immersions of Two-Dimensional Riemannian Manifolds into Pseudo-Euclidean Spaces....Pages 243-264 On Characterization of Lipschitz Manifolds....Pages 265-277 On Projective Transformations of Riemannian Spaces With Harmonic Curvature....Pages 279-283 On the Equation Defining Isothermic Surfaces in Laguerre Geometry....Pages 285-294 Induced Hopf Bundles and Einstein Metrics....Pages 295-305 Connections on A-Bundles....Pages 307-316 Induced Semi-Sprays and Connections on Submanifolds....Pages 317-327 On Generalized Algebroids....Pages 329-342 Quantum and Integral Bordism Groups in the Navier-Stokes Equation....Pages 343-359 Optimal Control Problems on Matrix Lie Groups....Pages 361-373 Submanifolds with Restrictions on Q -Ricci Curvature....Pages 375-388 Weyl’s Volume of the Tube Formula Without Invariant Theory....Pages 389-395 Two Applications of a Method of Transplantation in Riemannian Geometry....Pages 397-410 Centroaffine Differential Geometry of (Positive) Definite Oriented Surfaces in R 4....Pages 411-428 Dynamics Induced by a Magnetic Field....Pages 429-442 Convex Programs on Finsler Manifolds....Pages 443-457 Connections on Principal Sheaves....Pages 459-483 On Orbits of Symmetric Subgroups in Riemannian Symmetric Spaces....Pages 485-501 On Leaves of Transversely Affine Foliations....Pages 503-509 Equivalence Problem Via the Nash-Moser Theorem....Pages 511-519 Proceedings of the Conference on Differential Geometry, Budapest, Hungary, July 27-30, 1996