Metrics of positive ricci curvature with large diameter

Michael T. Anderson

Type: Article

Publication Date: 1990-12-01

Citations: 64

DOI: https://doi.org/10.1007/bf02568774

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+ PDF Chat	On the structure of spaces with Ricci curvature bounded below. I	1997	Jeff Cheeger Tobias Colding
+	Cones over metric measure spaces and the maximal diameter theorem	2014	C. Ketterer
+ PDF Chat	Pincement spectral en courbure positive	2003	Jérôme Bertrand
+ PDF Chat	Stability estimates for the sharp spectral gap bound under a curvature-dimension condition	2024	Max Fathi Ivan Gentil Jordan Serres
+ PDF Chat	A Pinching Theorem for Homotopy Spheres	1990	Karsten Grove Peter Petersen
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+	Manifolds with A Lower Ricci Curvature Bound	2006	Guofang Wei
+	Comparison and Rigidity Theorems for the Volume and Diameter of Positively Curved Kähler Manifolds	2024	Ved Datar Harish Seshadri
+ PDF Chat	Théorème de la sphère	2000	Erwann Aubry
+	Eigenvalues and suspension structure of compact Riemannian orbifolds with positive Ricci curvature	1999	Takashi Shioya

Works Cited by This (9)

Action	Title	Year	Authors
+ PDF Chat	Diameter, volume, and topology for positive Ricci curvature	1991	J.-H. Eschenburg
+	The relation between the laplacian and the diameter for manifolds of non-negative curvature	1968	Jeff Cheeger
+ PDF Chat	On complete manifolds with nonnegative Ricci curvature	1990	Uwe Abresch Detlef Gromoll
+ PDF Chat	A sphere theorem for manifolds of positive Ricci curvature	1983	Katsuhiro Shiohama
+ PDF Chat	Certain conditions for a Riemannian manifold to be isometric with a sphere	1962	Morio Obata
+	A Generalized Sphere Theorem	1977	Karsten Grove Katsuhiro Shiohama
+	Eigenvalue comparison theorems and its geometric applications	1975	Shiu‐Yuen Cheng
+	Riemannian spaces having their curvature bounded below by a positive number	1964	V. A. Toponogov
+	Géométrie des groupes de transformations	1958	André Lichnerowicz