Different Types of Curvature and Their Vanishing Conditions

Manisha Maheshkumar Kankarej
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Manisha Maheshkumar Kankarej: Zayed University, Dubai

Academic Journal of Applied Mathematical Sciences, 2021, vol. 7, issue 3, 143-148

Abstract: In the present paper, I studied different types of Curvature like Riemannian Curvature, Concircular Curvature, Weyl Curvature, and Projective Curvature in Quarter Symmetric non-Metric Connection in P-Sasakian manifold. A comparative study of a manifold with a Riemannian connection is done with a P-Sasakian Manifold. Conditions for vanishing for different types of curvature are also a part of the study. Some necessary properties of the Hessian operator are discussed with respect to all curvatures as well.

Keywords: Riemannian curvature; Concircular curvature; Weyl curvature; Projective curvature and Hessian operator. (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:arp:ajoams:2021:p:143-148

DOI: 10.32861/ajams.73.143.148

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