Curvature and Topology of Riemannian Manifolds

Proceedings of the 17th International Taniguchi Symposium held in Katata, Japan, August 26-31, 1985

344 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

Structure of manifolds of nonpositive sectional curvature.- Combinatorial problems in spectral geometry.- A vanishing theorem for piecewise constant curvature spaces.- L-subgroups in spaces of nonpositive curvature.- On a compactification of the set of Riemannian manifolds with bounded curvatures and diameters.- Large Riemannian manifolds.- Analytic inequalities, and rough isometries between non-compact Riemannian manifolds.- Gap theorems for certain submanifolds of euclidean space and hyperbolic space form II.- A pinching problem for locally homogeneous spaces.- Remarks on the injectivity radius estimate for almost 1/4-pinched manifolds.- Non-homogeneous Kähler-Einstein metrics on compact complex manifolds.- Curvature deformations.- The first eigenvalue of the laplacian of an isoparametric minimal hypersurface in a unit sphere.- On deformation of Riemannian metrics and manifolds with positive curvature operator.- Quasiconformal mappings and manifolds of negative curvature.- Helical immersions.- On topological Blaschke conjecture III.- Critical points of Busemann functions on complete open surfaces.- L-functions in geometry and some applications.- Stability of harmonic maps and eigenvalues of laplacian.- Uniformly locally convex filtrations on complete riemannian manifolds.- Einstein metrics with positive scalar curvature.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Topologie
• ISBN: 9783540167709
• Sprache: Englisch
• Erscheinungsdatum: 01.07.1986
• Größe: 235 x 155 mm
• Verlag: Springer
• Herausgegeben von: Katsuhiro Shiohama, Takashi Sakai, Toshikazu Sunada