Results 51 to 60 of about 131 (102)

Ricci Solitons in (ε,δ)-Trans-Sasakian Manifolds

International Journal of Analysis and Applications, 2017
We study Ricci solitons in (ε,δ)-trans-Sasakian manifolds. It is shown that a symmetric parallel second order covariant tensor in a (ε,δ)-trans-Sasakian manifold is a constant multiple of the metric tensor.
C.S. Bagewadi, Gurupadavva Ingalahalli
doaj   +2 more sources

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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A (CHR)3-flat trans-Sasakian manifold

Pracì Mìžnarodnogo Geometričnogo Centru, 2019
In [4] M. Prvanovic considered several curvaturelike tensors defined for Hermitian manifolds. Developing her ideas in [3], we defined in an almost contact Riemannian manifold another new curvaturelike tensor field, which is called a contact ...
Koji Matsumoto
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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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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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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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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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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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On Weak concircular Symmetries of Trans-Sasakian manifolds

Cubo, 2011
The object of the present paper is to study weakly concircular symmetric and weakly concircular Ricci symmetric trans-Sasakian manifolds.El objeto del presente trabajo es el estudio de variedades simetricas debilmente concirculares y variedades ...
Shyamal Kumar Hui
doaj  

Some types of trans-Sasakian manifolds

Journal of the Tensor Society, 2009
In this paper pseudo projectively °at and conharmonically °at trans-Sasa- kian manifold satisfying R(X; Y ):S = 0 with vector » belonging to k-nullity distribution have been studied. Further we have studied Legendre curves in trans-Sasakian manifold.
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