Ebook: Curvature and Topology of Riemannian Manifolds: Proceedings of the 17th International Taniguchi Symposium held in Katata, Japan, Aug. 26–31, 1985

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Content:
Front Matter....Pages -
Structure of manifolds of nonpositive sectional curvature....Pages 1-13
Combinatorial problems in spectral geometry....Pages 14-32
A vanishing theorem for piecewise constant curvature spaces....Pages 33-40
L-subgroups in spaces of nonpositive curvature....Pages 41-88
On a compactification of the set of Riemannian manifolds with bounded curvatures and diameters....Pages 89-107
Large Riemannian manifolds....Pages 108-121
Analytic inequalities, and rough isometries between non-compact Riemannian manifolds....Pages 122-137
Gap theorems for certain submanifolds of euclidean space and hyperbolic space form II....Pages 138-149
A pinching problem for locally homogeneous spaces....Pages 150-155
Remarks on the injectivity radius estimate for almost 1/4-pinched manifolds....Pages 156-164
Non-homogeneous K?hler-Einstein metrics on compact complex manifolds....Pages 165-179
Curvature deformations....Pages 180-190
The first eigenvalue of the laplacian of an isoparametric minimal hypersurface in a unit sphere....Pages 191-201
On deformation of Riemannian metrics and manifolds with positive curvature operator....Pages 202-211
Quasiconformal mappings and manifolds of negative curvature....Pages 212-229
Helical immersions....Pages 230-241
On topological Blaschke conjecture III....Pages 242-253
Critical points of Busemann functions on complete open surfaces....Pages 254-265
L-functions in geometry and some applications....Pages 266-284
Stability of harmonic maps and eigenvalues of laplacian....Pages 285-307
Uniformly locally convex filtrations on complete riemannian manifolds....Pages 308-318
Einstein metrics with positive scalar curvature....Pages 319-336

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Content:
Front Matter....Pages -
Structure of manifolds of nonpositive sectional curvature....Pages 1-13
Combinatorial problems in spectral geometry....Pages 14-32
A vanishing theorem for piecewise constant curvature spaces....Pages 33-40
L-subgroups in spaces of nonpositive curvature....Pages 41-88
On a compactification of the set of Riemannian manifolds with bounded curvatures and diameters....Pages 89-107
Large Riemannian manifolds....Pages 108-121
Analytic inequalities, and rough isometries between non-compact Riemannian manifolds....Pages 122-137
Gap theorems for certain submanifolds of euclidean space and hyperbolic space form II....Pages 138-149
A pinching problem for locally homogeneous spaces....Pages 150-155
Remarks on the injectivity radius estimate for almost 1/4-pinched manifolds....Pages 156-164
Non-homogeneous K?hler-Einstein metrics on compact complex manifolds....Pages 165-179
Curvature deformations....Pages 180-190
The first eigenvalue of the laplacian of an isoparametric minimal hypersurface in a unit sphere....Pages 191-201
On deformation of Riemannian metrics and manifolds with positive curvature operator....Pages 202-211
Quasiconformal mappings and manifolds of negative curvature....Pages 212-229
Helical immersions....Pages 230-241
On topological Blaschke conjecture III....Pages 242-253
Critical points of Busemann functions on complete open surfaces....Pages 254-265
L-functions in geometry and some applications....Pages 266-284
Stability of harmonic maps and eigenvalues of laplacian....Pages 285-307
Uniformly locally convex filtrations on complete riemannian manifolds....Pages 308-318
Einstein metrics with positive scalar curvature....Pages 319-336
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