Geometric inequalities for warped product bi-slant submanifolds with a warping function

  • Siddiqui, Aliya Naaz; 
  • Shahid, Mohammad Hasan; 
  • Lee, Jae Won
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초록

In this paper, we prove that the squared norm of the second fundamental form for bi-slant submanifolds with any codimension of nearly trans-Sasakian manifolds is bounded below by the gradient of a warping function and also find the conditions on which the equality holds. Some related examples are also provided.

키워드

Nearly trans-Sasakian manifolds; Bi-slant submanifolds; Warped product bi-slant submanifolds; TRANS-SASAKIAN MANIFOLDS; KAEHLER MANIFOLDS; CR-SUBMANIFOLDS
제목
Geometric inequalities for warped product bi-slant submanifolds with a warping function
저자
Siddiqui, Aliya Naaz; Shahid, Mohammad Hasan; Lee, Jae Won
DOI
10.1186/s13660-018-1843-3
발행일
2018-09-27
유형
Article
저널명
Journal of Inequalities and Applications