A note on a totally umbilical proper slant submanifold of a nearly Kaehler manifold

Kuwait Journal of Science

KHUSHWANT SINGH³  SIRAJ UDDIN²  MERAJ ALI KHAN¹ 

[1] Department of Mathematics, University of Tabuk, Tabuk, Kingdom of Saudi Arabia;Institute of Mathematical Sciences, Faculty of Science,University of Malaya, 50603, Kuala Lumpur, Malaysia;School of mathematics & Computer Applications, Thapar University, Patiala, 147004, Punjab,India

关键词: Slant submanifold;    totally-umbilical;    totally geodesic;    nearly Kaehler manifold.;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Kuwait University * Academic Publication Council

【 摘 要 】

ABSTRACT In this paper, we study totally umbilical proper slant submanifolds of a nearly Kaehler manifold. We prove that every totally umbilical proper slant submanifold of a nearly Kaehler manifold is totally geodesic.  

【 授权许可】

Unknown