Small excess and Ricci curvature

Peter Petersen

Type: Article

Publication Date: 1991-12-01

Citations: 12

DOI: https://doi.org/10.1007/bf02921313

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Locations

Journal of Geometric Analysis - View

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Works That Cite This (12)

Action	Title	Year	Authors
+ PDF Chat	Manifolds tightly covered by two metric balls	2017	Jianming Wan
+ PDF Chat	An excess sphere theorem	1993	Peter Petersen Shunhui Zhu
+ PDF Chat	Smooth diameter and eigenvalue rigidity in positive Ricci curvature	2001	Wilderich Tuschmann
+	Mainfolds with small excess and bounded curvature	1993	Peter Petersen Zhongmin Shen Shunhui Zhu
+	Rigidity of manifolds with large volume	1993	Mingliang Cai
+	Differentiable sphere theorems for Ricci curvature	1993	G. Pacelli Bessa
+	Sphere Theorems	2000	Katsuhiro Shiohama
+	On Riemannian manifolds with ε-maximal diameter and bounded curvature	1992	Zhongmin Shen
+	Closed manifolds with small excess	2001	Keti Tenenblat Changyu Xia
+ PDF Chat	Quantitative maximal diameter rigidity of positive Ricci curvature	2024	Tianyin Ren Xiaochun Rong

Works Cited by This (13)

Action	Title	Year	Authors
+ PDF Chat	The topology of certain Riemannian manifolds with positive Ricci curvature	1983	Yoe Itokawa
+ PDF Chat	Diameter, volume, and topology for positive Ricci curvature	1991	J.-H. Eschenburg
+ PDF Chat	$C^\alpha$-compactness for manifolds with Ricci curvature and injectivity radius bounded below	1992	Michael T. Anderson Jeff Cheeger
+	Riemannian manifolds with positive mean curvature	1941	S. B. Myers
+	On the smoothness of isometries	1970	Eugenio Calabi Philip Hartman
+ PDF Chat	A diameter pinching sphere theorem for positive Ricci curvature	1989	Jyh Yang Wu
+	Metrics of positive ricci curvature with large diameter	1990	Michael T. Anderson
+ PDF Chat	A sphere theorem for manifolds of positive Ricci curvature	1983	Katsuhiro Shiohama
+ PDF Chat	A pinching theorem for homotopy spheres	1990	Karsten Grove Peter Petersen
+	On manifolds of positive Ricci curvature with large diameter	1991	Yukio Otsu