Results 51 to 60 of about 125 (105)

Characterizations of the Total Space (Indefinite Trans-Sasakian Manifolds) Admitting a Semi-Symmetric Metric Connection

Axioms, 2018
We investigate recurrent, Lie-recurrent, and Hopf lightlike hypersurfaces of an indefinite trans-Sasakian manifold with a semi-symmetric metric connection. In these hypersurfaces, we obtain several new results.
Dae Ho Jin, Jae Won Lee
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Lightlike Hypersurfaces in Indefinite Trans-Sasakian Manifolds [PDF]

Results in Mathematics, 2011
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A remark on trans-Sasakian 3-manifolds [PDF]

Revista de la Unión Matemática Argentina, 2019
Summary: Let \(M\) be a trans-Sasakian 3-manifold of type \((\alpha, \beta)\). In this paper, we give a negative answer to the question proposed by \textit{S. Deshmukh} [Mediterr. J. Math. 13, No. 5, 2951--2958 (2016; Zbl 1359.53022)], namely we prove that the differential equation \(\nabla \beta = \eta(\beta)\eta\) on \(M\) does not necessarily imply ...
Wang, Yaning, Wang, Wenjie
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On pseudoparallel submanifold of trans-Sasakian manifolds admitting semisymmetric metric connection [PDF]

Mathematica Bohemica
The aim of the present paper is to study invariant pseudoparallel submanifolds of a trans-Sasakian manifold equipped with semisymmetric metric connection.
Mehmet Atçeken, Tuğba Mert
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Applications of Disaffinity Vectors to Certain Riemannian Manifolds

Mathematics
A disaffinity vector on a Riemannian manifold is a vector field whose affinity tensor vanishes. In this paper, we prove that every disaffinity vector on a compact Riemannian manifold is an incompressible vector field.
Hanan Alohali, Sharief Deshmukh, Bang-Yen Chen   +2 more
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Ricci Solitons in (ϵ)-Trans-Sasakian Manifolds

Journal of the Tensor Society, 2007
We study Ricci solitons in (ϵ)-trans-Sasakian manifolds. It is shown that a symmetric parallel second order covariant tensor in a (ϵ)-trans-Sasakian manifold is a constant multiple of the metric tensor. Using this it is shown that if LV g + 2S is parallel where V is a given vector field, then (g, V ) is Ricci soliton. Further, by virtue of this result,
C.S. Bagewadi, Gurupadavva Ingalahalli
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Hyperbolic ∗-Ricci Solitons and Gradient Hyperbolic ∗-Ricci Solitons on (ε)-Almost Contact Metric Manifolds of Type (α, β)

Mathematics
In this research paper, we introduce the notions of hyperbolic ∗-Ricci solitons and gradient hyperbolic ∗-Ricci solitons. We study the hyperbolic ∗-Ricci solitons on a three-dimensional ε-trans-Sasakian manifold. Specifically, we determine the hyperbolic
Fatemah Mofarreh, Mohd Danish Siddiqi
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Some characterizations of three-dimensional trans-Sasakian manifolds admitting η- Ricci solitons and trans-Sasakian manifolds as Kagan subprojective space

Ukrains’kyi Matematychnyi Zhurnal, 2020
UDC 514.7 The object of the present paper is to study three-dimensional trans-Sasakian manifolds admittingη-Ricci soliton. Actually, we study such manifolds whose Ricci tensor satisfy some special conditions like cyclic parallelity, Ricci semisymmetry,ϕ-Ricci semisymmetry, after reviewing the properties of second order parallel tensors on such ...
Sarkar, A., Sil, A., Paul, A. K.
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Trans-Sasakian Structures with Certain Restrictions

Axioms
We find restrictions on a trans-Sasakian structure F,u,γ,α,β on a 3-dimensional Riemannian manifold M3,g so that M3,g is homothetic to a Sasakian manifold.
Sharief Deshmukh, Amira Ishan
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Recurrent Trans-Sasakian Manifolds

Romanian Journal of Mathematics and Computer Science
A Riemannian manifold is said to be recurrent if the Riemannian curvature tensor R is recurrent. On the other hand, A. Oubina defined a new class of almost contact metric manifolds, named trans-Sasakian manifolds, which is a generalzation of Sasakian and Kenmotsu manifolds.
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