Curvature and Topology of Riemannian Manifolds (eBook, PDF)
Proceedings of the 17th International Taniguchi Symposium held in Katata, Japan, August 26-31, 1985 Redaktion: Shiohama, Katsuhiro; Sunada, Toshikazu; Sakai, Takashi
Curvature and Topology of Riemannian Manifolds (eBook, PDF)
Proceedings of the 17th International Taniguchi Symposium held in Katata, Japan, August 26-31, 1985 Redaktion: Shiohama, Katsuhiro; Sunada, Toshikazu; Sakai, Takashi
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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.
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.
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