A note on invariant submanifolds of CR-integrable almost Kenmotsu manifolds

Jin, Young Suh; Mandal, Kaushik; Chand, Uday De

doi:10.2298/fil1719211s

Cited by 2 publications

(2 citation statements)

References 17 publications

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“…In 2000 , K. Arslan and colleagues defined, a submanifold to be 2-semi-parallel [1]. Many authors studied the geometric properties of some manifolds [9,11,14,15,17].…”

Section: Introductionmentioning

confidence: 99%

Some submanifolds of generalized Kenmotsu manifolds

Sarı

Vanlı

2022

GJOM

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In this paper, invariant submanifolds of a generalized Kenmotsu manifold are studied and given some properties. An example is constructed for an invariant submanifold of a generalized Kenmotsu manifold. In addition, integrabilities of invariant distribution is investigated, and some theorems are given related to curvature tensor and the second fundamental form in invariant submanifolds of a generalized Kenmotsu manifold. Moreover, semi-parallel and 2-semi-parallel invariant submanifolds of a generalized Kenmotsu manifold are studied. Necessary and sufficient conditions are given on semi-parallel and 2-semi-parallel invariant submanifolds of a generalized Kenmotsu manifold to be totally geodesic.

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“…In 2000 , K. Arslan and colleagues defined, a submanifold to be 2-semi-parallel [1]. Many authors studied the geometric properties of some manifolds [9,11,14,15,17].…”

Section: Introductionmentioning

confidence: 99%

Some submanifolds of generalized Kenmotsu manifolds

Sarı

Vanlı

2022

GJOM

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“…In 1981, Janssens and Vanhecke [10], an almost contact metric manifold satisfiying this (1.1) is called a Kenmotsu manifold. Some authors studied Kenmotsu manifold [1], [12], [13], [16], [19].…”

Section: Introductionmentioning

confidence: 99%

Some Properties Curvture of Lorentzian Kenmotsu Manifolds

Sarı

2020

Applied Mathematics and Nonlinear Sciences

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In this paper different curvature tensors on Lorentzian Kenmotsu manifod are studied. We investigate constant ϕ–holomorphic sectional curvature and ℒ-sectional curvature of Lorentzian Kenmotsu manifolds, obtaining conditions for them to be constant of Lorentzian Kenmotsu manifolds in such condition. We calculate the Ricci tensor and scalar curvature for all the cases. Moreover we investigate some properties of semi invariant submanifolds of a Lorentzian Kenmotsu space form. We show that if a semi-invariant submanifold of a Lorentzian Kenmotsu space form M is totally geodesic, then M is an η−Einstein manifold. We consider sectional curvature of semi invariant product of a Lorentzian Kenmotsu manifolds.

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A note on invariant submanifolds of CR-integrable almost Kenmotsu manifolds

Cited by 2 publications

References 17 publications

Some submanifolds of generalized Kenmotsu manifolds

Some submanifolds of generalized Kenmotsu manifolds

Some Properties Curvture of Lorentzian Kenmotsu Manifolds

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