Results 11 to 20 of about 131 (102)
Certain Results on Ricci Solitons in Trans-Sasakian Manifolds [PDF]
Journal of Mathematics, 2013 We study and obtain results on Ricci solitons in trans-Sasakian manifolds satisfying , , , and , where , , and are quasiconformal, projective, and conharmonic curvature tensors.
C. S. Bagewadi, Gurupadavva Ingalahalli
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On trans-Sasakian $3$-manifolds as $\eta$-Einstein solitons
Karpatsʹkì Matematičnì Publìkacìï, 2021 The present paper is to deliberate the class of $3$-dimensional trans-Sasakian manifolds which admits $\eta$-Einstein solitons. We have studied $\eta$-Einstein solitons on $3$-dimensional trans-Sasakian manifolds where the Ricci tensors are Codazzi type ...
D. Ganguly, S. Dey, A. Bhattacharyya
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Solitonical Inequality on Submanifolds in Trans-Sasakian Manifolds Coupled with a Slant Factor
AxiomsIn this article, we study the Ricci soliton on slant submanifolds of trans-Sasakian manifolds with a quarter symmetric non-metric connection. Moreover, we derive a lower-bound-type inequality for the slant submanifolds of trans-Sasakian manifolds with a ...
Mohd Danish Siddiqi, Rawan Bossly
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Geometry of Bi-Warped Product Submanifolds of Nearly Trans-Sasakian Manifolds
Mathematics, 2021 In the present work, we consider two types of bi-warped product submanifolds, M=MT×f1M⊥×f2Mϕ and M=Mϕ×f1MT×f2M⊥, in nearly trans-Sasakian manifolds and construct inequalities for the squared norm of the second fundamental form.
Ali H. Alkhaldi, Akram Ali
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AxiomsIn the present article, we study submanifolds tangent to the Reeb vector field in trans-Sasakian manifolds. We prove Chen’s first inequality and the Chen–Ricci inequality, respectively, for such submanifolds in trans-Sasakian manifolds which admit a semi-
Mohammed Mohammed +4 more
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Trans-Sasakian 3-Manifolds with Reeb Flow Invariant Ricci Operator
Mathematics, 2018 Let M be a three-dimensional trans-Sasakian manifold of type ( α , β ) . In this paper, we obtain that the Ricci operator of M is invariant along Reeb flow if and only if M is an α -Sasakian manifold, cosymplectic manifold or a
Yan Zhao, Wenjie Wang, Ximin Liu
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A note on quasi-hemi slant submanifolds of nearly trans-Sasakian manifolds [PDF]
Journal of Hyperstructures, 2023 Here our main objective is to introduce the notion of quasi hemi-slant submanifolds as a generalized case of slant sub-manifolds, semi-slant submanifolds and hemi-slant submanifolds of contact metric manifolds.
Shamsur Rahman, Amit Kumar Rai
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On the geometry of warped product submanifolds of a quasi-hemi Slant submanifold with trans para Sasakian [PDF]
Journal of Hyperstructures, 2023 The existence or non-existence of warped product quasi-hemi slant submanifolds in trans para-sasakian manifolds is defined. Then we obtain that there are no proper warped product quasi-hemi slant submanifolds in trans para-sasakian manifolds such that ...
Sabi Ahmad, Niranjan Kumar Mishra
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A General Inequality for CR‐Warped Products in Generalized Sasakian Space Form and Its Applications
Advances in Mathematical Physics, Volume 2021, Issue 1, 2021., 2021 In the present paper, by considering the Gauss equation in place of the Codazzi equation, we derive new optimal inequality for the second fundamental form of CR‐warped product submanifolds into a generalized Sasakian space form. Moreover, the inequality generalizes some inequalities for various ambient space forms.
Yanlin Li +3 more
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Geometric Mechanics on Warped Product Semi‐Slant Submanifold of Generalized Complex Space Forms
Advances in Mathematical Physics, Volume 2021, Issue 1, 2021., 2021 In this study, we develop a general inequality for warped product semi‐slant submanifolds of type Mn=NTn1×fNϑn2 in a nearly Kaehler manifold and generalized complex space forms using the Gauss equation instead of the Codazzi equation. There are several applications that can be developed from this.
Yanlin Li +3 more
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