Global Differential Geometry and Global Analysis

Inhaltsverzeichnis

• E. B. Christoffels Einfluss auf die Geometrie.
• Distance geometry in Riemannian manifolds-with-boundary.
• Laplacian with a potential.
• Laplacian and riemannian submersions with totally geodesic fibres.
• A plateau problem with many solutions for boundary curves in a given knot class.
• Ricci curvature and einstein metrics.
• Smooth approximation of polyhedral surfaces with respect to curvature measures.
• Invariant eigenfunctions of the laplacian and their asymptotic distribution.
• The bieberbach case in gromov’s almost flat manifold theorem.
• Tight spherical embeddings.
• Characterizations of space forms by hypersurfaces.
• On graded bundles and their geometry.
• Compact riemannian manifolds with harmonic curvature and non-parallel ricci tensor.
• Stability of minimal submanifolds.
• A generalization of Weyl’s tube formula.
• The X-ray transform on a symmetric space.
• Visibility, horocycles, and the Bruhat decomposition.
• On holomorphic connections.
• Fiber parallelism and connections.
• Riemannian manifolds the geodesic balls of which are near to the Euclidean balls by volume.
• Tight foliations.
• Minima and critical points of the energy in dimension two.
• S1-actions on almost complex manifolds.
• On conformal immersions of space forms.
• Some remarks on elliptic equations and infinitesimal deformations of submanifolds.
• The spectrum of the laplacian and the curvature of sasakian manifolds.
• Geodesic chains and the spherical mean operator.
• The spectrum of the laplace operator for a special complex manifold.
• On the holomorphicity of harmonic maps from a surface.
• Codazzi tensors and reducible submanifolds.
• Codazzi tensor fields and curvature operators.
• Some remarks on the local structure of codazzi tensors.
• A remark on codazzi tensors in constant curvature spaces.
• Acontribution to the „Codazzi“ discussion.
• Codazzi pairs on surfaces.
• An application of a. d. Aleksandrov’s inequality to the problem of characterization of spheres.
• Codazzi tensors.
• Verallgemeinerung eines Satzes von Leung und Nomizu.
• Codazzi — Tensors in surface theory.