Complete manifolds with non-negative Ricci curvature and the Caffarelli–Kohn–Nirenberg inequalities

Manfredo Perdigão do Carmo; Changyu Xia

doi:10.1112/S0010437X03000745

Abstract

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In this paper, we prove that complete open Riemannian manifolds with non-negative Ricci curvature of dimension greater than or equal to three in which some Caffarelli–Kohn–Nirenberg type inequalities are satisfied are close to the Euclidean space.

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Complete manifolds with non-negative Ricci curvature and the Caffarelli–Kohn–Nirenberg inequalities

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This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

Complete manifolds with non-negative Ricci curvature and the Caffarelli–Kohn–Nirenberg inequalities

Abstract

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