Curvature, diameter and betti numbers

Michael Gromov

Type: Article

Publication Date: 1981-12-01

Citations: 347

DOI: https://doi.org/10.1007/bf02566208

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Locations

Commentarii Mathematici Helvetici - View

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Works Cited by This (14)

Action	Title	Year	Authors
+ PDF Chat	The splitting theorem for manifolds of nonnegative Ricci curvature	1971	Jeff Cheeger Detlef Gromoll
+ PDF Chat	Some examples of manifolds of nonnegative curvature	1973	Jeff Cheeger
+	Comparison Theorems in Riemannian Geometry	2008	Jeff Cheeger David G. Ebin
+ PDF Chat	Almost flat manifolds	1978	M. Gromov
+	On the structure of manifolds with positive scalar curvature	1979	Richard Schoen S.-T. Yau
+	The Classification of Simply Connected Manifolds of Positive Scalar Curvature	1980	Mikhael Gromov H. Blaine Lawson
+	On the homotopy type of positively-pinched manifolds	1967	Alan Weinstein
+	An Exotic Sphere With Nonnegative Sectional Curvature	1974	Detlef Gromoll Wolfgang Meyer
+	On Complete Open Manifolds of Positive Curvature	1969	Detlef Gromoll Wolfgang Meyer
+	A Generalized Sphere Theorem	1977	Karsten Grove Katsuhiro Shiohama