Results 71 to 80 of about 953,557 (132)

A.: On three-dimensional trans-Sasakian manifolds

, 2020
: The object of the present paper is to study 3-dimensional trans-Sasakian manifolds which are locally φ-symmetric and have η-parallel Ricci tensor. Also 3-dimensional transSasakian manifolds of constant curvature have been considered.
U C De, Avijit Sarkar, Oscar García Prada   +2 more
core  

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.
openaire   +1 more source

Geometry of Ricci tensor of harmonic nearly trans - Sasakian manifolds

In this paper, we study the geometry of the Ricci tensor of a harmonic nearly trans - Sasakian manifold. On the space of associated $G$-structure we introduce fundamental identities of harmonic nearly trans - Sasakian manifolds.
Svetlana Vladimirovna Kharitonova, Aligadzhi Rabadanovich Rustanov   +1 more
core   +1 more source

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

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.
openaire   +1 more source

A Note on Invariant Submanifolds of Trans-Sasakian Manifolds

International Electronic Journal of Geometry, 2016
The object of this paper is to obtain some necessary and sufficient conditions for an invariant  submanifold of a trans-Sasakian manifold to be totally geodesic. In addition, we construct an example to verify our main results.
HU, Chaogui, WANG, Yaning
openaire   +3 more sources

On three-dimensional trans-Sasakian manifolds

, 2008
The object of the present paper is to study 3-dimensional trans-Sasakian manifolds which are locally Á-symmetric and have ´-parallel Ricci tensor. Also 3-dimensional trans- Sasakian manifolds of constant curvature have been considered.
De, U. C., De, Uday Chand, Sarkar, Avijit   +2 more
core  

On Trans-Sasakian Manifolds [PDF]

, 2012
In this paper we study the geometry of trans-Sasakian manifold when it is projective Ricci-semi-symmetric, pseudo-projectively flat and pseudo-projectively semi ...
Shah, Riddhi Jung
core   +1 more source

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 Optimal Bounds for δ-Casorati Curvatures with Slant Factor in Trans-Sasakian Manifolds

Mathematics
In this article, we derive some optimal inequalities for slant submanifolds on trans-Sasakian manifolds coupled with quarter-symmetric non-metric connection (qsnmc), utilizing generalized normalized δ-Casorati curvatures.
Rawan Bossly
doaj   +1 more source