Pointwise Slant and Pointwise Semi-Slant Submanifolds in Almost Contact Metric Manifolds

Kwang Soon Park
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Kwang Soon Park: Room 4-107, Changgong Hall, Division of General Mathematics, University of Seoul, Seoul 02504, Korea

Mathematics, 2020, vol. 8, issue 6, 1-33

Abstract: In almost contact metric manifolds, we consider two kinds of submanifolds: pointwise slant, pointwise semi-slant. On these submanifolds of cosymplectic, Sasakian and Kenmotsu manifolds, we obtain characterizations and study their topological properties and distributions. We also give their examples. In particular, we obtain some inequalities consisting of a second fundamental form, a warping function and a semi-slant function.

Keywords: slant; semi-slant; warped product; almost contact metric manifold (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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