Results 1 to 10 of about 1,171 (162)

Some Conditions on Trans-Sasakian Manifolds to Be Homothetic to Sasakian Manifolds [PDF]

Mathematics, 2021
In this paper, we study 3-dimensional compact and connected trans-Sasakian manifolds and find necessary and sufficient conditions under which these manifolds are homothetic to Sasakian manifolds.
Sharief Deshmukh, Amira Ishan, Olga Belova   +2 more
exaly   +6 more sources

On Compact Trans-Sasakian Manifolds [PDF]

Advances in Mathematical Physics, 2022
We study 3-dimensional compact and simply connected trans-Sasakian manifolds and find necessary and sufficient conditions under which these manifolds are homothetic to Sasakian manifolds.
Ibrahim Al-Dayel, Sharief Deshmukh
doaj   +4 more sources

3-Quasi-Sasakian manifolds [PDF]

Annals of Global Analysis and Geometry, 2007
In the present paper we carry on a systematic study of 3-quasi-Sasakian manifolds. In particular we prove that the three Reeb vector fields generate an involutive distribution determining a canonical totally geodesic and Riemannian foliation. Locally, the leaves of this foliation turn out to be Lie groups: either the orthogonal group or an abelian one.
Beniamino Cappelletti Montano, Antonio De Nicola, Giulia Dileo   +2 more
exaly   +8 more sources

On Lightlike Geometry of Para-Sasakian Manifolds [PDF]

The Scientific World Journal, 2014
We study lightlike hypersurfaces of para-Sasakian manifolds tangent to the characteristic vector field. In particular, we define invariant lightlike hypersurfaces and screen semi-invariant lightlike hypersurfaces, respectively, and give examples ...
Bilal Eftal Acet, Selcen Yüksel Perktaş, Erol Kılıç   +2 more
doaj   +4 more sources

On Degenerate 3-(α,δ)-Sasakian Manifolds

Complex Manifolds, 2022
We propose a new method to construct degenerate 3-(α, δ)-Sasakian manifolds as fiber products of Boothby-Wang bundles over hyperkähler manifolds. Subsequently, we study homogeneous degenerate 3-(α, δ)-Sasakian manifolds and prove that no non-trivial ...
Oliver Goertsches
exaly   +2 more sources

Clairaut anti-invariant submersions from Lorentzian trans-Sasakian manifolds [PDF]

Arab Journal of Mathematical Sciences
Purpose – The central idea of this research article is to examine the characteristics of Clairaut submersions from Lorentzian trans-Sasakian manifolds of type (α, β) and also, to enhance this geometrical analysis with some specific cases, namely Clairaut
Mohd Danish Siddiqi, Aliya Naaz Siddiqui, Sudhakar Kumar Chaubey   +2 more
exaly   +2 more sources

Quarter-symmetric metric connection in a P-Sasakian manifold

Annals of the West University of Timisoara: Mathematics and Computer Science, 2015
In this paper, we consider a quarter-symmetric metric connection in a P-Sasakian manifold. We investigate the curvature tensor and the Ricci tensor of a P-Sasakian manifold with respect to the quarter-symmetric metric connection.
Mandal Krishanu, De Uday Chand
doaj   +4 more sources

Lifts of a Semi-Symmetric Metric Connection from Sasakian Statistical Manifolds to Tangent Bundle

Mathematics
The lifts of Sasakian statistical manifolds associated with a semi-symmetric metric connection in the tangent bundle are characterized in the current research.
Rajesh Kumar, Sameh Shenawy, Nasser Bin Turki   +2 more
exaly   +3 more sources

Sasakian statistical manifolds

Journal of Geometry and Physics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hitoshi Furuhata, Izumi Hasegawa, Mohammad Hasan Shahid   +2 more
exaly   +3 more sources

Solitonical Inequality on Submanifolds in Trans-Sasakian Manifolds Coupled with a Slant Factor

Axioms
In this article, we study the Ricci soliton on slant submanifolds of trans-Sasakian manifolds with a quarter symmetric non-metric connection. Moreover, we derive a lower-bound-type inequality for the slant submanifolds of trans-Sasakian manifolds with a ...
Mohd Danish Siddiqi, Siddiqi Mohd Danish
exaly   +3 more sources