ω-SEMI-SYMMETRIC SASAKIAN MANIFOLDS ADMITTING GENERAL CON-NECTION

  • ASHIS BISWAS
    Mathabhanga College, Department of Mathematics, Mathabhanga, Coochbehar, Pin-736146, West Bengal, INDIA
    biswasashis9065@gmail.com
  • ASHOKE DAS
    Raiganj University, Department of Mathematics, Raiganj, Uttar Dianjpur, Pin-733134, West Bengal, INDIA
    ashoke.avik@gmail.com
  • KANAK KANTI BAISHYA
    Kurseong College, Department of Mathematics, Dowhill Road, Kurseong, Darjee-ling-734203, West Bengal, INDIA
    kanakkanti.kc@gmail.com

Abstract

The object of the present paper is to study the properties of Sasakian manifold in the light of general connection, which is induced with quarter symmetric metric connection, Tanaka Webster connection, Schouten-Van Kampen connection and Zamkovoy connec-tion. We consider ω*-semi-symmetric Sasakian manifolds. Furthermore, we discuss the Sasakian manifold satisfying R* (X, Y ) · Z* = 0. Here ω* is quasi-conformal curvature tensor and Z* is Z-tensor with respect to general connection.

Cuvinte cheie

quasi-conformal curvature tensor general connection Z-tensor