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The Gagliardo-Nirenberg inequalities and manifolds of non-negative Ricci curvature
Authors:Changyu Xia
Affiliation:Departamento de Matemática-IE, Universidade de Brasília, Campus Universitário, 70910-900-Brasília-DF, Brazil
Abstract:This article is devoted to show that complete non-compact Riemannian manifolds with non-negative Ricci curvature of dimension greater than or equal to two in which some Gagliardo-Nirenberg type inequality holds are not very far from the Euclidean space.
Keywords:53C20   53C21   57R70   31C12
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