Titlebook: New Developments in Differential Geometry, Budapest 1996; Proceedings of the C J. Szenthe Conference proceedings 1999 Springer Science+Busi

细丝

Harmonic Spinors and Topology,We discuss relations between the dimension of the solution space of the Dirac equation and the topology of the underlying manifold. It is shown that in certain dimensions existence of metrics with harmonic spinors is not topologically obstructed. In this respect the Dirac operator behaves very differently from the Laplace-Beltrami operator.

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Statins

Harmonic Maps and F-Structures With Parallelizable Kernel,The study of harmonic maps on the contact metric manifolds was initiated in the papers [D-I-P],[I-P.],[I-P.],[I-P.].

松紧带

On the Betti Numbers of a Generalized Hopf Manifold,We discuss the curvature operators ., . in a compact generalized Hopf manifold, and show that the manifold is cohomologically equivalent to the Hopf manifold if . or . is positive on a subspace.

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FOLLY

On Semi-Riemannian Submersions,A generalization of semi-Riemannian submersions allowing degenerate submanifolds as fibres is given by making an application of semi-Riemannian maps to submersions. Also a fundamental equation of a regular semi-Riemannian submersion is obtained.

ASSAY

Time-Dependent Mechanical Systems With Non-Linear Constraints,A geometrical formalism for time-dependent lagrangian systems subjected to non-linear constraints is given in terms of jet manifolds. The solution of the constrained problem is discussed by using almost product structures along the constraint submanifold. A constrained Poincaré-Cartan two-form is defined.

Fallibility

On Uniqueness of Constant Mean Curvature Surfaces With Planar Boundary,We study constant mean curvature compact surfaces in Euclidean space with planar boundary. Two geometric conditions for these surfaces to be graphs are given.

BRUNT

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