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

被引：0

作者：

Abolarinwa, Abimbola ^{[1
]}

Adefolarin, Adekunle ^{[2
]}

Animasahun, Isaac A. ^{[3
]}

机构：

[1] Landmark Univ, Dept Phys Sci, PMB 1001, Omu Aran, Kwara State, Nigeria

[2] Fed Polytech, Dept Stat, Ado Ekiti, Ekiti State, Nigeria

[3] Osun State Coll Educ, Dept Math, Ila Orangun, Osun State, Nigeria

来源：

BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 11卷 / 01期

关键词：

Sobolev inequalities; best constant; Ricci tensor; heat kernel; UPPER-BOUNDS; HEAT; KERNELS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 R-n.

引用

页码：11 / 21

页数：11

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