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Optimal inequalities for the normalized delta-Casorati curvatures of submanifolds in Kenmotsu space forms
- Issue Date
- Jul-2017
- Publisher
- WALTER DE GRUYTER GMBH
- Keywords
- Casorati curvature; Riemannian submanifold; almost contact manifold; Kenmotsu space form
- Citation
- ADVANCES IN GEOMETRY, v.17, no.3, pp 355 - 362
- Pages
- 8
- Indexed
- SCIE
SCOPUS
- Journal Title
- ADVANCES IN GEOMETRY
- Volume
- 17
- Number
- 3
- Start Page
- 355
- End Page
- 362
- ISSN
- 1615-715X
1615-7168
- Abstract
- In this paper, we establish two sharp inequalities for the normalized delta-Casorati curvatures of submanifolds in a Kenmotsu space form, tangent to the structure vector field of the ambient space. Moreover, we show that in both cases the equality at all points characterizes the totally geodesic submanifolds.
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