ON A CLASS OF LORENTZIAN PARA-KENMOTSU MANIFOLDS ADMITTING QUARTER-SYMMETRIC METRIC CONNECTION.

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Title: ON A CLASS OF LORENTZIAN PARA-KENMOTSU MANIFOLDS ADMITTING QUARTER-SYMMETRIC METRIC CONNECTION.
Authors: Devi, S. Sunitha1 sunithamallakula@yahoo.com1, Prasad, K. L. Sai2 klsprasad@yahoo.com2
Source: Reliability: Theory & Applications. Dec2023, Vol. 18 Issue 4, p525-532. 8p.
Subjects: Lorentzian function, Manifolds (Mathematics)
Abstract: In this present paper, a class of Lorentzian almost paracontact metric manifolds known as the LPKenmotsu (Lorentzian para-Kenmotsu) is considered that accepts a connection of quarter-symmetric. In this work, it was found that an LP-Kenmotsu manifold is either φ-symmetric or concircular φ-symmetric with respect to quarter-symmetric metric connection if and only if it is symmetric with respect to the Riemannian connection, provided the scalar curvature of Riemannian connection is constant. [ABSTRACT FROM AUTHOR]
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Abstract:In this present paper, a class of Lorentzian almost paracontact metric manifolds known as the LPKenmotsu (Lorentzian para-Kenmotsu) is considered that accepts a connection of quarter-symmetric. In this work, it was found that an LP-Kenmotsu manifold is either φ-symmetric or concircular φ-symmetric with respect to quarter-symmetric metric connection if and only if it is symmetric with respect to the Riemannian connection, provided the scalar curvature of Riemannian connection is constant. [ABSTRACT FROM AUTHOR]
ISSN:19322321