Quarter-Symmetric Metric Connection on a Cosymplectic Manifold
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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
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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
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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