Aspects of global Riemannian geometry

Peter Petersen

Type: Article

Publication Date: 1999-05-24

Citations: 20

DOI: https://doi.org/10.1090/s0273-0979-99-00787-9

Abstract

In this article we survey some of the developments in Riemannian geometry. We place special emphasis on explaining the relationship between curvature and topology for Riemannian manifolds with lower curvature bounds.

Locations

Bulletin of the American Mathematical Society - View - PDF

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Works Cited by This (116)

Action	Title	Year	Authors
+	Parallel translation and smoothness of the metric of spaces with bounded curvature	1980	Igor Nikolaev
+ PDF Chat	A general comparison theorem with applications to volume estimates for submanifolds	1978	Ernst Heintze Hermann Karcher
+ PDF Chat	The splitting theorem for manifolds of nonnegative Ricci curvature	1971	Jeff Cheeger Detlef Gromoll
+	Annihilator ideals and representation iteration for abstract rings	1939	Cath Everett
+ PDF Chat	Hausdorff Convergence of Riemannian Manifolds and Its Applications	1990	Kenji Fukaya
+ PDF Chat	A convergence theorem for Riemannian manifolds and some applications	1989	Atsushi Kasue
+ PDF Chat	Some regularity theorems in riemannian geometry	1981	Dennis DeTurck Jerry L. Kazdan
+	Foundational Essays on Topological Manifolds, Smoothings, and Triangulations.	1977	Robion Kirby Laurence C. Siebenmann
+	Comparison Theorems in Riemannian Geometry	2008	Jeff Cheeger David G. Ebin
+ PDF Chat	Integral curvature bounds, distance estimates and applications	1998	Peter Petersen Chadwick Sprouse