Lightlike hypersurfaces of an (ε)-para Sasakian manifold with a semi-symmetric non-metric connection
Sign Up to like & getrecommendations! Published in 2018 at "Filomat"
DOI: 10.2298/fil1816767e
Abstract: In the present paper, we study a lightlike hypersurface, when the ambient manifold is an (ε)-para Sasakian manifold endowed with a semi-symmetric non-metric connection. We obtain a condition for such a lightlike hypersurface to be… read more here.
Keywords: semi symmetric; symmetric non; metric connection; non metric ... See more keywords
The Contact Metric Connection with Skew Torsion
Sign Up to like & getrecommendations! Published in 2019 at "Russian Mathematics"
DOI: 10.3103/s1066369x19110070
Abstract: We prove that, on a generalized (multidimensional) Heisenberg group endowed with a left-invariant Sasakian structure, there exists a unique contact metric connection with skew torsion, invariant with respect to the group of automorphisms. The explicit… read more here.
Keywords: torsion; connection; metric connection; contact metric ... See more keywords
Quarter-Symmetric Metric Connection on a Cosymplectic Manifold
Sign Up to like & getrecommendations! Published in 2023 at "Mathematics"
DOI: 10.3390/math11092209
Abstract: We study the quarter-symmetric metric A-connection on a cosymplectic manifold. Observing linearly independent curvature tensors with respect to the quarter-symmetric metric A-connection, we construct the Weyl projective curvature tensor on a cosymplectic manifold. In this… read more here.
Keywords: quarter symmetric; metric connection; cosymplectic manifold; symmetric metric ... See more keywords
Tangent Bundles of P-Sasakian Manifolds Endowed with a Quarter-Symmetric Metric Connection
Sign Up to like & getrecommendations! Published in 2023 at "Symmetry"
DOI: 10.3390/sym15030753
Abstract: The purpose of this study is to evaluate the curvature tensor and the Ricci tensor of a P-Sasakian manifold with respect to the quarter-symmetric metric connection on the tangent bundle TM. Certain results on a… read more here.
Keywords: quarter symmetric; sasakian manifolds; metric connection; symmetric metric ... See more keywords
Optimal Inequalities for Submanifolds in Trans-Sasakian Manifolds Endowed with a Semi-Symmetric Metric Connection
Sign Up to like & getrecommendations! Published in 2023 at "Symmetry"
DOI: 10.3390/sym15040877
Abstract: In this paper, we improve the Chen first inequality for special contact slant submanifolds and Legendrian submanifolds, respectively, in (α,β) trans-Sasakian generalized Sasakian space forms endowed with a semi-symmetric metric connection. read more here.
Keywords: endowed semi; symmetric metric; trans sasakian; metric connection ... See more keywords
On Submanifolds in a Riemannian Manifold with a Semi-Symmetric Non-Metric Connection
Sign Up to like & getrecommendations! Published in 2017 at "Symmetry"
DOI: 10.3390/sym9070112
Abstract: In this paper, we study submanifolds in a Riemannian manifold with a semi-symmetric non-metric connection. We prove that the induced connection on a submanifold is also semi-symmetric non-metric connection. We consider the total geodesicness and… read more here.
Keywords: semi symmetric; symmetric non; connection; metric connection ... See more keywords