Curvature and Topology of Riemannian Manifolds

Proceedings of the 17th International Taniguchi Symposium held in Katata, Japan, August 26-31, 1985
Herausgegeben:Shiohama, Katsuhiro; Sakai, Takashi; Sunada, Toshikazu

• Broschiertes Buch

Produktbeschreibung

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 K¿er-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.

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Produktdetails

• Lecture Notes in Mathematics 1201
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-16770-9
• 1986.
• Seitenzahl: 344
• Erscheinungstermin: 1. Juli 1986
• Englisch
• Abmessung: 235mm x 155mm x 19mm
• Gewicht: 542g
• ISBN-13: 9783540167709
• ISBN-10: 3540167706
• Artikelnr.: 23822807

Inhaltsangabe

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.