Results 41 to 50 of about 1,722 (148)
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
wiley +1 more source
Characterizing Inequalities for Biwarped Product Submanifolds of Sasakian Space Forms
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 The biwarped product submanifolds generalize the class of product submanifolds and are particular case of multiply warped product submanifolds. The present paper studies the biwarped product submanifolds of the type ST×ψ1S⊥×ψ2Sθ in Sasakian space forms S¯c, where ST, S⊥, and Sθ are the invariant, anti‐invariant, and pointwise slant submanifolds of S¯c.
Meraj Ali Khan +2 more
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On geometry of warped product semi invariant submanifolds of nearly (ε, δ)-trans sasakian manifold with a certain connection [PDF]
Journal of Hyperstructures, 2023 In this paper, we study the geometry of warped product semi invariant submanifold of a nearly (ε, δ)-trans-Sasakianmanifold M with a quarter symmetric non metric connection. We see that warped product of the typeE⊥×yET is a usual Riemannian product of E⊥
Shamsur Rahman +2 more
doaj +1 more source
Invariant Submanifolds of Trans-Sasakian Manifolds [PDF]
Ukrainian Mathematical Journal, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bagewadi, C.S., Anitha, B.S.
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A note on trans-Sasakian manifolds [PDF]
Publicationes Mathematicae Debrecen, 2018 Abstract In this paper, we obtain some sufficient conditions for a 3-dimensional compact trans-Sasakian manifold of type (α, β) to be homothetic to a Sasakian manifold. A characterization of a 3-dimensional cosymplectic manifold is also obtained.
Sharief Deshmukh, Uday Chand De
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Bi-paracontact structures and Legendre foliations [PDF]
, 2002 We study almost bi-paracontact structures on contact manifolds. We prove that if an almost bi-paracontact structure is defined on a contact manifold $(M,\eta)$, then under some natural assumptions of integrability, $M$ carries two transverse bi ...
Kofinas, G. +2 more
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On 3-Dimensional (ε,δ)-Trans-Sasakian Structure [PDF]
, 2013 The object of present paper is to study 3-dimensional $(\varepsilon,\delta)$-trans-Sasakian manifold admitting Ricci solitons and $K$-torse forming vector fields.
Maralabhavi, Y.B. +2 more
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Sasaki-Einstein Manifolds [PDF]
, 2010 This article is an overview of some of the remarkable progress that has been made in Sasaki-Einstein geometry over the last decade, which includes a number of new methods of constructing Sasaki-Einstein manifolds and obstructions.Comment: 58 pages ...
Sparks, James
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Characterizations of Trivial Ricci Solitons
Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020 Finding characterizations of trivial solitons is an important problem in geometry of Ricci solitons. In this paper, we find several characterizations of a trivial Ricci soliton. First, on a complete shrinking Ricci soliton, we show that the scalar curvature satisfying a certain inequality gives a characterization of a trivial Ricci soliton. Then, it is
Sharief Deshmukh +3 more
wiley +1 more source