SOBOLEV-TYPE INEQUALITIES AND COMPLETE RIEMANNIAN MANIFOLDS WITH NONNEGATIVE RICCI CURVATURE

Abolarinwa, Abimbola and Adefolarin, A. and Isacc, A. and Animashahun, R.A. (2019) SOBOLEV-TYPE INEQUALITIES AND COMPLETE RIEMANNIAN MANIFOLDS WITH NONNEGATIVE RICCI CURVATURE. Bulletin of Mathematical Analysis and Applications, 11. pp. 11-21. ISSN 1821-1291

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Abstract

Let M be an n-dimensional complete Riemannian manifold, we investigate the geometric nature of such M which admits any of the family of Sobolev-type inequalities with the optimal Euclidean Sobolev constant. This leads to several conditions under which M with nonnegative Ricci curvature is isometric to Euclidean space Rn

Item Type: Article
Subjects: Q Science > QC Physics
Depositing User: Mr DIGITAL CONTENT CREATOR LMU
Date Deposited: 20 Sep 2019 10:16
Last Modified: 20 Sep 2019 10:16
URI: https://eprints.lmu.edu.ng/id/eprint/2314

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