Characterizing spheres by an immersion in Euclidean spaces

Arab Journal of Mathematical Sciences

Ibrahim Al-Dayel¹  Sharief Deshmukh¹ 

[1] Department of Mathematics, College of Science, King Saud University, P.O. Box-2455, Riyadh-11451, Saudi Arabia;

关键词: Hypersurface;    Conformal vector field;    Ricci curvature;    Position vector field;   

DOI  :  10.1016/j.ajmsc.2016.09.002

来源: DOAJ

【 摘 要 】

In this paper we study compact immersed orientable hypersurfaces in the Euclidean space Rn+1 and show that suitable restrictions on the tangential and normal components of the immersion give different characterizations of the spheres.

【 授权许可】

Unknown