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Lifts of a Quarter-Symmetric Metric Connection from a Sasakian Manifold to Its Tangent Bundle
Mathematics, 2023Uday Chand De +2 more
exaly
Kenmotsu manifolds with quarter-symmetric non-metric connections
2023Montes Taurus +3 more
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Some properties of a Ricci quarter symmetric metric connection on a Riemannian manifold
1996The authors study some properties of quarter symmetric connections [\textit{S. Golab}, Tensor, New Ser. 29, 249-254 (1975; Zbl 0308.53010)] in Riemannian manifolds.
Kamilya, D., De, U. C.
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Hypersurfaces of a Riemannian manifold with a Ricci-quarter symmetric metric connection
2023Summary: In this paper we study hypersurfaces of a Riemannian manifold endowed with a Ricci-quarter symmetric metric connection. We prove that the induced connection is also a Ricci-quarter symmetric metric connection. We consider the total geodesicness, the total umbilicity and the minimality of a hypersurface of a Riemannian manifold endowed with the
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Quarter-symmetric metric connection on a Lorentzian α-Sasakian manifold
2016In the present paper we study locally ϕ-symmetric, locally projective ϕ-symmetric, ϕ-recurrent and ϕ-projectively flat Lorentzian α-Sasakian manifold with respect to quarter-symmetric metric connection. Further, the existence of a Lorentzian α-Sasakian manifold admitting quarter-symmetric metric connection is shown by constructing an example.
Venkatesha, Venkatesha, G., Divyashree
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