ON SASAKIAN MANIFOLDS SATISFYING CURVATURE RESTRICTIONS WITH RESPECT TO A QUARTER SYMMETRIC METRIC CONNECTION

  • ASHIS BISWAS
    Department of Mathematics, Mathabhanga College, Mathabhanga, Coochbehar, Pin-736146, West Bengal, INDIA.
    biswasashis9065@gmail.com
  • SUSANTA DAS
    PGT in Mathematics, North Point Residential School, Siliguri-734012, West Bengal, IND
    das0707@gmail.com
  • KANAK KANTI BAISHYA
    Department of Mathematics, Kurseong College, Dowhill Road, Kurseong, Darjee-ling-734203, West Bengal, INDIA
    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.

Cuvinte cheie

generalized quasi-conformal curvature tensor quarter symmetric metric connection