Warped product pointwise hemi-slant submanifolds of a Para-Kaehler manifold

Gündüzalp, Yılmaz

doi:10.2298/fil2201275g

Filomat

2022

DOI: 10.2298/fil2201275g

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Warped product pointwise hemi-slant submanifolds of a Para-Kaehler manifold

Yılmaz Gündüzalp

Abstract: In this paper, we introduce pointwise hemi-slant submanifolds of para-Kaehler manifolds. Using this notion, we investigate the geometry of warped product pointwise hemi-slant submanifolds. We provide some non-trivial examples of such submanifolds.

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Cited by 2 publications

References 31 publications

(19 reference statements)

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A note on pointwise semi-slant submanifold of para-Cosymplectic manifolds

Srivastava

Dhiman

Sood

et al. 2022

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This article covers the geometric study of pointwise slant and pointwise semi-slant submanifolds of a para-Cosymplectic manifold M? 2m+1 with the semi-Riemannian metric. We give an advanced definition of these type of submanifolds for the spacelike and timelike vector fields. We obtain the characterization results for the involutive and totally geodesic foliation for such type of manifold M? 2m+1.

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A note on pointwise semi-slant submanifold of para-Cosymplectic manifolds

Srivastava

Dhiman

Sood

et al. 2022

Filomat

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On Riemannian warped-twisted product submersions

Agarwal,

Mofarreh,

Yadav

et al. 2024

MATH

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<abstract><p>In this paper, we introduce the concepts of Riemannian warped-twisted product submersions and examine their fundamental properties, including total geodesicity, total umbilicity and minimality. Additionally, we investigate the Ricci tensor of Riemannian warped-twisted product submersions, specifically about the horizontal and vertical distributions. Finally, we obtain Einstein condition for base manifold if the horizontal and vertical distributions of the ambient manifold is Einstein.</p></abstract>

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Warped product pointwise hemi-slant submanifolds of a Para-Kaehler manifold

Abstract: In this paper, we introduce pointwise hemi-slant submanifolds of para-Kaehler manifolds. Using this notion, we investigate the geometry of warped product pointwise hemi-slant submanifolds. We provide some non-trivial examples of such submanifolds.

Cited by 2 publications

References 31 publications

A note on pointwise semi-slant submanifold of para-Cosymplectic manifolds

A note on pointwise semi-slant submanifold of para-Cosymplectic manifolds

On Riemannian warped-twisted product submersions

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