ON SASAKIAN MANIFOLDS SATISFYING CURVATURE RESTRICTIONS WITH RESPECT TO A QUARTER SYMMETRIC METRIC CONNECTION
ASHIS BISWAS(1), SUSANTA DAS(2) and KANAK KANTI BAISHYA(3)
1. Department of Mathematics, Mathabhanga College, Mathabhanga, Coochbehar, Pin-736146, West Bengal, INDIA. e-mail:biswasashis9065@gmail.com 2. PGT in Mathematics, North Point Residential School, Siliguri-734012, West Bengal, INDIA e-mail:susanta.das0707@gmail.com 3. Department of Mathematics, Kurseong College, Dowhill Road, Kurseong, Darjee-ling-734203, West Bengal, INDIA. e-mail:kanakkanti.kc@gmail.com
Abstract
The object of the present paper is to study a quarter symmetric connection ∇ in a Sasakian manifold admitting some curvature restrictions as R^{∇}⋅ω^{∇}=0 and ω^{∇}⋅S^{∇}=0, where ω is a generalized quasi-conformal curvature tensor.