Global Differential Geometry and Global Analysis 1984

Proceedings of a Conference Held in Berlin, June 10-14, 1984
Herausgegeben:Ferus, Dirk; Gardner, Robert B.; Helgason, Sigurdur; Simon, Udo

• Broschiertes Buch

Produktbeschreibung

A 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.- Affinsph¿n mit ebenen Schattengrenzen.- Conformal orbits of electromagnetic Riemannian curvature tensors electromagnetic implies gravitational radiation.

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Produktdetails

• Lecture Notes in Mathematics 1156
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-15994-0
• 1985.
• Seitenzahl: 344
• Erscheinungstermin: 1. Oktober 1985
• Englisch
• Abmessung: 235mm x 155mm x 19mm
• Gewicht: 544g
• ISBN-13: 9783540159940
• ISBN-10: 3540159940
• Artikelnr.: 23602876

Autorenporträt

Udo Simon: Research Associate, Islamic Studies, University of Heidelberg

Inhaltsangabe

A 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.