Document Zbl 1400.53037

Uddin, Siraj; Naghi, Monia Fouad; Al-Solamy, Falleh Rijaullah

Another class of warped product submanifolds of Kenmotsu manifolds. (English) Zbl 1400.53037

Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 112, No. 4, 1141-1155 (2018).

Summary: In this paper, we study semi-slant submanifolds and warped product semi-slant submanifolds of Kenmotsu manifolds, which have not been considered in earlier studies. A characterization and a general sharp inequality for the lower bound of the squared norm of second fundamental form of such immersions are obtained. The necessary condition is obtained for the warped products to satisfy the equality case of the derived inequality. We also give non-trivial examples of such submanifolds.

Cited in 14 Documents

MSC:

53C25	Special Riemannian manifolds (Einstein, Sasakian, etc.)
53C40	Global submanifolds
53C42	Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
53B25	Local submanifolds

Keywords:

warped products; slant submanifolds; semi-slant submanifolds; semi-slant warped products; Kenmotsu manifolds

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References:

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