Información General

• Autores: Karsten Grove (coord.), Peter Petersen (coord.)
• Editores: Cambridge University Press
• Año de publicación: 1997
• Colecciones: Mathematical Sciences Research Institute publications, 30
• País: Estados Unidos
• Idioma: inglés
• ISBN: 0-521-59222-4
• Texto completo no disponible (Saber más ...)

Resumen

• Comparison Geometry asks: What can we say about a Riemannian manifold if we know a (lower or upper) bound for its curvature, and perhaps something about its topology? Powerful results that allow the exploration of this question were first obtained in the 1950s by Rauch, Alexandrov, Toponogov, and Bishop, with some ideas going back to Hopf, Morse, Schoenberg, Myers, and Synge in the 1930s.

Otros catálogos

• Red de Bibliotecas Universitarias (REBIUN)

Listado de artículos

• • Injectivity Radius Estimates and Sphere Theorems

    Uwe Abresch, Wolfgang T. Meyer

    págs. 1-47

    

  • Scalar Curvature and Geometrization Conjectures for 3-Manifolds

    Michael Anderson

    págs. 49-82

    

  • Aspects of Ricci Curvature

    Tobias H. Colding

    págs. 83-98

    

  • A Genealogy of Noncompact Manifolds of Nonnegative Curvature: history and Logic

    Robert E. Greene

    págs. 99-134

    

  • Differential Geometric Aspects of Alexandrov Spaces

    Yukio Otsu

    págs. 135-148

    

  • Construction of Manifolds of Positive Ricci Curvature with Big Volume and Large Betti Numbers

    Galina Perelman

    págs. 149-155

    

  • Collapsing with No Proper Extremal Subsets

    Galina Perelman

    págs. 157-163

    

  • Example of a Complete Riemannian Manifold of Positive Ricci Curvature with Euclidean Volume Growth and with Nonunique Asymptotic Cone

    Galina Perelman

    págs. 165-166

    

  • Convergence Theorems in Riemannian Geometry

    Peter Petersen

    págs. 167-202

    

  • Applications of Quasigeodesics and Gradient Curves

    Anton Petrunin

    págs. 203-219

    

  • The Comparison Geometry of Ricci Curvature

    Shunhui Zhu

    págs. 221-262