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η-Ricci Solitons in δ-Lorentzian Trans Sasakian Manifolds with a Semi-symmetric Metric Connection

MOHD. DANISH SIDDIQI
경북대학교 자연과학대학 수학과|2019.09|Kyungpook Mathematical Journal|제59권 제3호|pp. 537-562|DOI 10.5666/KMJ.2019.59.3.537

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참고문헌

키워드

Einstein manifoldη-Ricci Solitonsδ-Lorentzian trans-Sasakian manifoldsemi- symmetric metric connectioncurvature tensors
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초록

The aim of the present paper is to study the δ-Lorentzian trans-Sasakian manifold endowed with semi-symmetric metric connections admitting η-Ricci Solitons and Ricci Solitons. We nd expressions for the curvature tensor, the Ricci curvature tensor and the scalar curvature tensor of δ-Lorentzian trans-Sasakian manifolds with a semi- symmetric-metric connection. Also, we discuses some results on quasi-projectively at and ϕ-projectively at manifolds endowed with a semi-symmetric-metric connection. It is shown that the manifold satisfying R. S = 0, P. S = 0 is an η-Einstein manifold. More- over, we obtain the conditions for the δ-Lorentzian trans-Sasakian manifolds with a semi- symmetric-metric connection to be conformally at and ξ-conformally at.

Abstract

The aim of the present paper is to study the δ-Lorentzian trans-Sasakian manifold endowed with semi-symmetric metric connections admitting η-Ricci Solitons and Ricci Solitons. We nd expressions for the curvature tensor, the Ricci curvature tensor and the scalar curvature tensor of δ-Lorentzian trans-Sasakian manifolds with a semi- symmetric-metric connection. Also, we discuses some results on quasi-projectively at and ϕ-projectively at manifolds endowed with a semi-symmetric-metric connection. It is shown that the manifold satisfying R. S = 0, P. S = 0 is an η-Einstein manifold. More- over, we obtain the conditions for the δ-Lorentzian trans-Sasakian manifolds with a semi- symmetric-metric connection to be conformally at and ξ-conformally at.

참고문헌 (43)

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