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Global Differential Geometry and Global Analysis 1984

Proceedings of a Conference Held in Berlin, June 10-14,1984, Lecture Notes in Ma

B Gardner, Robert / Helgason et al, Sigurdur
Erschienen am 01.10.1985, Auflage: 1. Auflage
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ISBN/EAN: 9783540159940
Sprache: Englisch

Beschreibung

InhaltsangabeA Toponogov splitting theorem for Lorentzian manifolds.- A survey on CR - Submanifolds of Kaehlerian manifolds.- Isoperimetric inequalities, heat equation and geometric applications.- Symmetric immersions in pseudo-Riemannian space forms.- Immersions of surfaces into space forms.- Examples of 1-codimensional non totally geodesic isometric immersions of pseudo-riemannian space forms with the same positive constant curvature and the same space-like rank.- Riemannian manifolds with harmonic curvature.- Structure of manifolds of nonpositive curvature.- Equivalence of one dimensional Lagrangian field theories in the plane I.- Applications of the Gauss mapping for hypersurfaces of the sphere.- Submanifolds and the second fundamental tensor.- Embedded minimal surfaces, computer graphics and elliptic functions.- The Bernstein problem for foliations.- Examples concerning the spectrum of a closed Riemannian manifold.- Tight smoothing of some polyhedral surfaces.- On the number of tritangencies of a surface in IR3.- Small eigenvalues of the Laplacian and examples.- Horizontal lifts of isometric immersions into the bundle space of a pseudo-Riemannian submersion.- Positively curved minimal submanifolds.- Affinsphären mit ebenen Schattengrenzen.- Conformal orbits of electromagnetic Riemannian curvature tensors electromagnetic implies gravitational radiation.