Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 16 (2021), 361 -- 370

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This work is licensed under a Creative Commons Attribution 4.0 International License.

RIEMANN SOLITONS ON GENERALIZED WEAKLY ω-SYMMETRIC α-COSYMPLECTIC MANIFOLDS

Sabina Eyasmin, Kanak Kanti Baishya and Manoj Ray Bakshi

Abstract. Generalized quasi-conformal curvature tensor (ω-tensor) has the flavour of conformal, conharmonic, concircular, projective, m-projective, W1-curvature, W2-curvature and W4-curvature tensors. In the present paper we have investigated the nature of Riemann solitons in α-cosymplectic manifold in the light of generalized weakly ω-symmetric structure.

2020 Mathematics Subject Classification: 53C15; 53C25.
Keywords: Riemann solitons; α-cosymplectic manifold; generalized weakly symmetric space; generalized quasi-conformal curvature tensor.

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Sabina Eyasmin - Corresponding author
Department of Mathematics, Chandidas Mahavidyalaya,
Birbhum-731215, West Bengal, India.
e-mail:sabinaeyasmin2010@gmail.com
Kanak Kanti Baishya
Department of Mathematics, Kurseong College
Kurseong, Darjeeling, India.
e-mail: kanakkanti.kc@gmail.com
Manoj Ray Bakshi
Department of Mathematics, Raiganj University,
Uttar Dinajpur, India.
e-mail: raybakshimanoj@gmail.com

http://www.utgjiu.ro/math/sma