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.
Highlights
Papaghiuc [28] defined the notion of semi-slant submanifolds of an almost Hermitian manifold in
M is a pointwise slant submanifold of an almost contact metric manifold (R5, φ, ξ, η, g) with the slant function k ( x1, x2, x3 ) = x2 such that ξ is tangent to M
R2 is a pointwise slant submanifold of an almost contact metric manifold (R5, φ, ξ, η, g) with the slant function f such that ξ is normal to R2
Summary
Given a Riemannian manifold ( N, g) with some additional structures, there are several kinds of submanifolds: Almost complex submanifolds ([1,2,3,4]), totally real submanifolds ([5,6,7,8]), CR submanifolds ([9,10,11,12]), QR submanifolds ([13,14,15,16]), slant submanifolds (([17,18,19,20,21,22]), pointwise slant submanifolds ([23,24,25]), semi-slant submanifolds ([26,27,28,29]), pointwise semi-slant submanifolds [30], pointwise almost h-slant submanifolds and pointwise almost h-semi-slant submanifolds [31], etc. Papaghiuc [28] defined the notion of semi-slant submanifolds of an almost Hermitian manifold in.
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