Some Pinching Results for Bi-Slant Submanifolds in S-Space Forms
Copyright policy )Some Pinching Results for Bi-Slant Submanifolds in S-Space Forms
The objective of the present article is to prove two geometric inequalities for submanifolds in S-space forms. First, we establish inequalities for the generalized normalized δ-Casorati curvatures for bi-slant submanifolds in S-space forms and then we derive the generalized Wintgen inequality for Legendrian and bi-slant submanifolds in the same ambient space. We also discuss the equality cases of the inequalities. Further, we provide some immediate geometric applications of the results. Finally, we construct some examples of slant and Legendrian submanifolds, respectively.
- University of Tabuk Saudi Arabia
- Transylvania University of Brașov Romania
- Technical University of Civil Engineering of Bucharest Romania
- University of Delhi India
- University of Bucharest Romania
Casorati curvature, <i>S</i>-space forms, QA1-939, bi-slant submanifolds, Wintgen inequality, Mathematics
Casorati curvature, <i>S</i>-space forms, QA1-939, bi-slant submanifolds, Wintgen inequality, Mathematics
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