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


ASHIS BISWAS 1, ASHOKE DAS 2 AND KANAK KANTI BAISHYA 3
1. Mathabhanga College, Department of Mathematics, Mathabhanga, Coochbehar, Pin-736146, West Bengal, INDIA e-mail: biswasashis9065@gmail.com
2. Raiganj University, Department of Mathematics, Raiganj, Uttar Dianjpur, Pin-733134, West Bengal, INDIA. e-mail: ashoke.avik@gmail.com
3. Kurseong College, Department of Mathematics, Dowhill Road, Kurseong, Darjee-ling-734203, West Bengal, INDIA. e-mail: kanakkanti.kc@gmail.com

Issue:

SSRSMI, Number 2, Volume XXX

Section:

Volume 30, Number 2

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.

Keywords:

quasi-conformal curvature tensor, general connection, Z-tensor.

Code [ID]:

SSRSMI202002V30S01A0003 [0005290]

Note:

DOI:

Full paper:

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