Results 61 to 70 of about 996,485 (133)

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

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
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

ON THREE-DIMENSIONAL TRANS-SASAKIAN MANIFOLDS ADMITTING SCHOUTEN-VAN KAMPEN CONNECTION [PDF]

, 2021
In the present paper,  we study three-dimensional trans-Sasakian manifolds admitting the Schouten-van Kampen connection.  Also, we have proved some results on $\phi$-projectively flat, $\xi-$projectively flat and $\xi-$concircularly flat three ...
Mondal, Ashis
core   +1 more source

On 3-Dimensional Trans-Sasakian Manifold Admitting a Semi-Symmetric Metric Connection

, 2019
The purpose of the present paper is to study 3-dimensional trans-Sasakian manifold admitting a semi-symmetric metric connection. Here we mainly study locally phi-symmetric and locally phi-concircularly symmetric 3-dimensional trans-Sasakian manifold ...
Vanlı, Aysel, Venkatesha, V, Vishnuvardhana, S V   +2 more
core   +3 more sources

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
core   +1 more source

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
core   +1 more source

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
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, Arjun Singh Yadav, Yadav, Arjun Singh, Jai Prakash Jaiswal   +3 more
core   +1 more source

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
doaj   +1 more source