Improved Chen's inequalities for submanifolds of generalized Sasakian-space-forms

Y Li, M Khatri, JP Singh, SK Chaubey - Axioms, 2022 - mdpi.com
In this article, we derive Chen's inequalities involving Chen's δ-invariant δ M, Riemannian
invariant δ (m 1,⋯, mk), Ricci curvature, Riemannian invariant Θ k (2≤ k≤ m), the scalar …

Geometrical structure in a perfect fluid spacetime with conformal Ricci–Yamabe soliton

P Zhang, Y Li, S Roy, S Dey, A Bhattacharyya - Symmetry, 2022 - mdpi.com
The present paper aims to deliberate the geometric composition of a perfect fluid spacetime
with torse-forming vector field ξ in connection with conformal Ricci–Yamabe metric and …

[HTML][HTML] Geometry of warped product immersions of Kenmotsu space forms and its applications to slant immersions

A Ali, P Laurian-Ioan - Journal of Geometry and Physics, 2017 - Elsevier
In this paper, some relations among the second fundamental form which is an extrinsic
invariant, Laplacian of the warping function and constant sectional curvature of a warped …

Geometry of warped product pointwise semi-slant submanifolds of cosymplectic manifolds and its applications

A Ali, C Ozel - International Journal of Geometric Methods in …, 2017 - World Scientific
It is known from [K. Yano and M. Kon, Structures on Manifolds (World Scientific, 1984)] that
the integration of the Laplacian of a smooth function defined on a compact orientable …

[HTML][HTML] Ricci curvature on warped product submanifolds in spheres with geometric applications

A Ali, P Laurian-Ioan, AH Alkhaldi - Journal of Geometry and Physics, 2019 - Elsevier
The goal of this paper is to construct a fundamental theorem for the Ricci curvature
inequality via partially minimal isometric warped product immersions into an m-dimensional …

[PDF][PDF] Quasi hemi-slant submanifolds of cosymplectic manifolds

R Prasad, SK Verma, S Kumar… - Korean Journal of …, 2020 - researchgate.net
We introduce and study quasi hemi-slant submanifolds of almost contact metric manifolds
(especially, cosymplectic manifolds) and validate its existence by providing some non-trivial …

Slant geometry of warped products in Kaehler and nearly Kaehler manifolds

BY Chen, S Uddin - Complex Geometry of Slant Submanifolds, 2022 - Springer
Slant Geometry of Warped Products in Kaehler and Nearly Kaehler Manifolds | SpringerLink
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Geometric classification of warped product submanifolds of nearly Kaehler manifolds with a slant fiber

A Ali, JW Lee, AH Alkhaldi - International Journal of Geometric …, 2019 - World Scientific
There are two types of warped product pseudo-slant submanifolds, M 𝜃× f M⊥ and M⊥× f M
𝜃, in a nearly Kaehler manifold. We derive an optimization for an extrinsic invariant, the …

Geometric Mechanics on Warped Product Semi‐Slant Submanifold of Generalized Complex Space Forms

Y Li, AH Alkhaldi, A Ali - Advances in Mathematical Physics, 2021 - Wiley Online Library
In this study, we develop a general inequality for warped product semi‐slant submanifolds of
type M n= NT n 1× f N ϑ n 2 in a nearly Kaehler manifold and generalized complex space …

Geometry of warped product and CR-warped product submanifolds in Kaehler manifolds: Modified version

BY Chen - arXiv preprint arXiv:1806.11102, 2018 - arxiv.org
The warped product $ N_1\times_f N_2 $ of two Riemannian manifolds $(N_1, g_1) $ and
$(N_2, g_2) $ is the product manifold $ N_1\times N_2 $ equipped with the warped product …