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

This volume contains the proceedings of the Conference on Differential Geometry, held in Budapest, 1996. A wide variety of topics in differential geometry are 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. This volume should 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.

Table of Contents:
On the Theory of Almost Grassmann Structures.- Homogeneous Spaces: From the Classical to the Quantum Case.- Harmonic Spinors Topology.- Harmonic Maps between Almost Para-Hermitian Manifolds.- Frölicher Spectral Sequence of Compact Nilmanifolds with Nilpotent Complex Structure.- Equivariant Isometric Immersions.- Coeffective Cohomology of Quaternionic Kähler Manifolds.- Notes on Harmonic Tensor Fields.- Harmonic Maps and f-structures with Parallelizable Kernels.- On the Betti Numbers of a Generalized Hopf Manifold.- On Isocurved Deformations of a Homogeneous Riemannian Space.- Fibre Integral in Regular Lie Algebroids.- On Semi-Riemannian Submersions.- Metric Covering Spaces and Applications.- Time-Dependent Mechanical Systems with Non-Linear Constraints.- On Uniqueness of Constant Mean Curvature Surfaces with Planar Boundary.- Isometric Semiparallel Immersions of Two-Dimensional Riemannian Manifolds into Pseudo-Euclidean Spaces.- On Characterization of Lipschitz Manifolds.- On Projective Transformations of Riemannian Spaces with Harmonic Curvature.- On the Equation Defining Isothermic Surface in Laguerre Geometry.- Induced Hopf Bundles and Einstein Metrics.- Connections on A-bundles.- Induced Semi-Sprays and Connections on Submanifolds.- Generalized Algebroids.- Quantum and Integral Bordism Groups in the Navier-Stokes Equation.- Optimal Control Problems on Matrix Lie Groups.- Submanifolds with Restrictions on Q-Ricci Curvature.- Weyl’s Volume of the Tube Formula without Invariant Theory.- Two Applications of a Method of Transplantation in Riemannian Geometry.- Cetroaffine Differential Geometry of (Positive) Definite Oriented Surfaces in R4.- Dynamics Induced by a Magnetic Field.- Convex Programs on Finsler Manifolds.- Connections on Principal Sheaves.- On Orbits ofSymmetric Subgroups in Riemannian Symmetric Spaces.- On Leaves of Transverally Affine Foliations.- Equivalence Problem via Nash-Moser Theorem.