Open AccessOn generalized W2-curvature tensor of para-Kenmotsu manifolds
Author(s) -
Teerathram Raghuwanshi,
Shravan Kumar Pandey,
Manoj Pandey,
Anil Goyal
Publication year - 2022
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2203741r
Subject(s) - riemann curvature tensor , mathematics , manifold (fluid mechanics) , einstein tensor , ricci decomposition , curvature , pure mathematics , einstein manifold , ricci curvature , tensor (intrinsic definition) , geometry , mechanical engineering , engineering
The object of the present paper is to generalizeW2-curvature tensor of para-Kenmotsu manifold with the help of a new generalized (0,2) symmetric tensor Z introduced by Mantica and Suh [11]. Various geometric properties of generalized W2-curvature tensor of para-Kenmotsu manifold have been studied. It is shown that a generalized W2?-symmetric para-Kenmotsu manifold is an Einstein manifold.