bokomslag Curvature and Topology of Riemannian Manifolds
Vetenskap & teknik

Curvature and Topology of Riemannian Manifolds

Katsuhiro Shiohama Takashi Sakai Toshikazu Sunada

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  • 336 sidor
  • 1986
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 Ker-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.

  • Författare: Katsuhiro Shiohama, Takashi Sakai, Toshikazu Sunada
  • Format: Pocket/Paperback
  • ISBN: 9783540167709
  • Språk: Engelska
  • Antal sidor: 336
  • Utgivningsdatum: 1986-07-01
  • Förlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K