$$\upsilon $$-pointwise bi-slant Lorentzian submersions from LP-Sasakian manifolds

2021 ◽  
Author(s):  
Tanumoy Pal ◽  
Shiv Sharma Shukla ◽  
Shyamal Kumar Hui
Keyword(s):  
Sasakian Manifolds

Some Properties of Para-Sasakian Manifolds

2017 ◽  
Vol 5 (2) ◽  
pp. 73-78
Author(s):  
Jay Prakash Singh ◽  
Keyword(s):  
Vector Field ◽  
Killing Vector ◽  
Sasakian Manifold ◽  
Subject Classification ◽  
Killing Vector Field ◽  
Sasakian Manifolds ◽  
Geometric Properties ◽  
Paper Author

In this paper author present an investigation of some differential geometric properties of Para-Sasakian manifolds. Condition for a vector field to be Killing vector field in Para-Sasakian manifold is obtained. Mathematics Subject Classification (2010). 53B20, 53C15.

On a Type of Quarter-Symmetric Non-Metric Connection in LP-Sasakian Manifolds

2016 ◽  
Vol 4 (1) ◽  
pp. 65-68
Author(s):  
J.P. Singh ◽  
◽  
M.S. Devi ◽  
Keyword(s):  
Sasakian Manifolds ◽  
Metric Connection

scholarly journals Generalized Transversal Lightlike Submanifolds of Indefinite Sasakian Manifolds

2012 ◽  
Vol 2012 ◽  
pp. 1-17
Author(s):  
Yaning Wang ◽  
Ximin Liu
Keyword(s):  
Classification Theorem ◽  
Sasakian Manifolds ◽  
Lightlike Submanifolds ◽  
Lightlike Submanifold

We introduce and study generalized transversal lightlike submanifold of indefinite Sasakian manifolds which includes radical and transversal lightlike submanifolds of indefinite Sasakian manifolds as its trivial subcases. A characteristic theorem and a classification theorem of generalized transversal lightlike submanifolds are obtained.

scholarly journals On generalized ϕ-recurrent LP-Sasakian Manifolds

2015 ◽  
Vol 23 (1) ◽  
pp. 161-166 ◽  
Author(s):  
Absos Ali Shaikh ◽  
D.G. Prakasha ◽  
Helaluddin Ahmad
Keyword(s):  
Sasakian Manifolds

Anti-invariant Riemannian submersions from Sasakian manifolds with totally umbilical fibers

2021 ◽  
pp. 2150169
Author(s):  
Gizem Köprülü ◽  
Bayram Şahin
Keyword(s):  
Vector Field ◽  
Ricci Curvature ◽  
Riemannian Manifolds ◽  
Sasakian Manifold ◽  
Riemannian Submersion ◽  
Sasakian Manifolds ◽  
Riemannian Submersions ◽  
Totally Umbilical ◽  
Characteristic Vector Field ◽  
Horizontal Vector

The purpose of this paper is to study anti-invariant Riemannian submersions from Sasakian manifolds onto Riemannian manifolds such that characteristic vector field is vertical or horizontal vector field. We first show that any anti-invariant Riemannian submersions from Sasakian manifold is not a Riemannian submersion with totally umbilical fiber. Then we introduce anti-invariant Riemannian submersions from Sasakian manifolds with totally contact umbilical fibers. We investigate the totally contact geodesicity of fibers of such submersions. Moreover, under this condition, we investigate Ricci curvature of anti-invariant Riemannian submersions from Sasakian manifolds onto Riemannian manifolds.

scholarly journals RETRACTED Warped Product Pointwise Semi-slant Submanifolds of Sasakian Manifol Retracted

2021 ◽  
Vol 45 (5) ◽  
pp. 721-738
Author(s):  
ION MIHAI ◽  
◽  
SIRAJ UDDIN ◽  
АДЕЛА MIHAI
Keyword(s):  
Warped Product ◽  
Warped Products ◽  
Sasakian Manifolds ◽  
Slant Submanifolds ◽  
Hermitian Manifolds ◽  
Almost Hermitian Manifolds

Recently, B.-Y. Chen and O. J. Garay studied pointwise slant submanifolds of almost Hermitian manifolds. By using the notion of pointwise slant submanifolds, we investigate the geometry of pointwise semi-slant submanifolds and their warped products in Sasakian manifolds. We give non-trivial examples of such submanifolds and obtain several fundamental results, including a characterization for warped product pointwise semi-slant submanifolds of Sasakian manifolds.

scholarly journals On Generalized ϕ-Recurrent (ϵ,δ)-Trans-Sasakian Manifolds

2014 ◽  
Vol 2014 ◽  
pp. 1-5
Author(s):  
C. S. Bagewadi ◽  
Dakshayani A. Patil
Keyword(s):  
Vector Field ◽  
Vector Fields ◽  
Characteristic Vector ◽  
Sasakian Manifolds ◽  
Characteristic Vector Field

We study generalized ϕ-recurrent (ϵ,δ)-trans-Sasakian manifolds. A relation between the associated 1-forms A and B and relation between characteristic vector field ξ and the vector fields ρ1, ρ2 for a generalized ϕ-recurrent.

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