A GENERAL CONNECTION ON SASAKIAN MANIFOLDS AND THE CASE OF ALMOST PSEUDOSYMMETRIC SASAKIAN MANIFOLDS
ASHIS BISWAS 1, KANAK KANTI BAISHYA 2 1. Department of Mathematics, Mathabhanga College, Mathabhanga, Coochbehar, Pin-736146, West Bengal, INDIA.
e-mail:biswasashis9065@gmail.com
2. Department of Mathematics, Kurseong College, Dowhill Road, Kurseong, Darjee-ling-734203, West Bengal, INDIA. e-mail:kanakkanti.kc@gmail.com
The object of the present paper is to study necessary conditions for the existence of al-most pseudo symmetric and almost pseudo Ricci symmetric Sasakian manifolds admitting a new connection, named general connection. It is worthy to mention that such connec-tion reduces to quarter-symmetric connection, generalized Tanaka-Webster connection, Zamkovoy connection and Schouten-van Kampen connection as particular cases.
