Study on Kaehlerian Recurrent and Symmetric Spaces of Second Order

K S Rawat; Nitin Uniyal

doi:10.56424/jts.v4i01.10422

K S Rawat Department of Mathematics H.N.B Garhwal University Campus,Badshahi Thaul Tehri(Garhwal)- 249199 Uttarakhand, India
Nitin Uniyal Department of Mathematics H.N.B Garhwal University Campus,Badshahi Thaul Tehri(Garhwal)- 249199 Uttarakhand, India

DOI: https://doi.org/10.56424/jts.v4i01.10422

Keywords: Kaehlerian Recurrent, Bochner curvature tensor , H-Concircular recurrent space

Abstract

Tachibana (1967), Singh (1971) studied and defined the Bochner curvature tensor and Kaehlerian spaces with recurrent Bochner curvature tensor. Further , Negi and Rawat (1994), (1997) studied some bi-recurrence and bi-symmetric properties in a Kaehlerian space and Kaehlerian spaces with recurrent and symmetric Bochner curvature tensor. In the present paper, we have studied Kaehlerian recurrent and symmetric spaces of second order by taking different curvature tensor and relations between them. Also several theorems have been established therein.