Existence and uniqueness of algebraic curvature tensors with prescribed properties and an application to the sphere theorem

Walter Seaman

Type: Article

Publication Date: 1990-01-01

Citations: 5

DOI: https://doi.org/10.1090/s0002-9947-1990-1005083-4

Abstract

An existence and uniqueness theorem is proved for algebraic curvature tensors and then applied to yield a global geometric theorem for locally weakly quarter pinched Riemannian manifolds whose second Betti number is nonzero.

Locations

Transactions of the American Mathematical Society - View - PDF

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+	Comparison Theorems in Riemannian Geometry	2008	Jeff Cheeger David G. Ebin
+	Differential Geometry, Lie Groups, and Symmetric Spaces	2001	Sigurđur Helgason
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+	On Compact Kahler Manifolds with Positive Definite Ricci Tensor	1961	Shôshichi Kobayashi
+	Complex Analytic Coordinates in Almost Complex Manifolds	1957	August Newlander Louis Nirenberg
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+	Einstein Manifolds	1987	Arthur L. Besse