The Gagliardo-Nirenberg inequalities and manifolds of non-negative Ricci curvature |
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Authors: | Changyu Xia |
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Affiliation: | Departamento de Matemática-IE, Universidade de Brasília, Campus Universitário, 70910-900-Brasília-DF, Brazil |
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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. |
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Keywords: | 53C20 53C21 57R70 31C12 |
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