Results 61 to 70 of about 1,519 (136)
Ricci n_parallel trans-Sasakian 3-manifolds
, 2021 In this paper, we present a new characterization for a trans-Sasakian 3-manifold to be proper. More precisely, we prove that if a compact trans-Sasakian 3-manifold has -parallel Ricci operator, then the manifold is homothetic to a cosymplectic or a ...
Zhao, Yan
core
Applications of Disaffinity Vectors to Certain Riemannian Manifolds
MathematicsA 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 +2 more
doaj +1 more source
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
openaire +3 more sources
η-RICCI SOLITONS IN (ϵ,δ)-TRANS SASAKIAN MANIFOLDS [PDF]
, 2019 The object of the present research is to study the (ϵ,δ)-TransSasakian manifolds addmitting the η-Ricci Solitons. It is shown that a sym-metric second order covariant tensor in an (ϵ,δ)-Trans Sasakian manifold isa constant multiple of metric tensor. Also
Siddiqi, Mohd Danish
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Conformal quasi-Yamabe soliton and conformal gradient quasi-Yamabe soliton on 3-dimensional trans-Sasakian manifold [PDF]
In the framework of a three-dimensional trans-Sasakian manifold, the main objective of the present paper is to provide a complete analysis of conformal quasi-Yamabe soliton as well as conformal gradient quasi-Yamabe soliton.
Anirban Mandal +2 more
core +1 more source
ON GENERALIZED M-PROJECTIVE -RECURRENT TRANS-SASAKIAN MANIFOLDS [PDF]
, 2017 The aim of the present paper is to study generalized M-projective - recurrent trans-Sasakian manifold and its various geometric properties. First, we find the sufficient condition for generalized M-projective -recurrent trans-Sasakian manifold to become ...
Jaiswal, Jai Prakash +3 more
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$\eta$-RICCI SOLITONS AND GRADIENT RICCI SOLITONS ON $\delta$- LORENTZIAN TRANS-SASAKIAN MANIFOLDS
, 2021 The objective of the present research article is to study the $\delta$-Lorentzian trans-Sasakian manifolds conceding the $\eta$-Ricci solitons and gradient Ricci soliton.
Siddiqi, Mohd Danish, Akyol, Mehmet Akif
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Conformally-projectively flat trans-Sasakian statistical manifolds
, 2019 In this study, the notion of trans-Sasakian statistical manifold is defined, some results for this manifold's curvature tensors are given, an example of 3-dimensional trans-Sasakian statistical manifold is constructed and some characterizations about ...
Kazan, Ahmet
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CR-submanifolds of a nearly trans-hyperbolic Sasakian manifold
, 2008 In the present paper we have investigated CR-submanifold of a nearly trans-hyperbolic Sasakian manifold.
S. Kumar, K. K. Dube
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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.
openaire +1 more source