The object of the present paper is to study Ricci semisymmetric, locally ϕ-symmetric and η-parallel Ricci tensor in a three dimensional generalized Sasakian-space-form. The three dimensional quasi-Sasakian generalized Sasakian-space-forms have been studied. Besides these, Ricci solitons and gradient Ricci solitons have been studied. Finally, illustrative examples are given. © 2017, Springer International Publishing AG.

PRADIP MAJHI

Pure Mathematics

U C DE

University of Calcutta (informally known as Calcutta University or CU) is a collegiate public state university located in Kolkata, West Bengal, India.&nbsp;Within India it is recognized as a &quot;Five-Star University&quot; and accredited &quot;A&quot; Grade by National Assessment and Accreditation Council.

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The University of Calcutta has secured the Fifth position among the Universities of India in the prestigious &quot;Indian University Ranking 2019&quot; list, released by the NIRF of the Ministry of Human Resource Development, Government of India.

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It was established on 24 January 1857, and was one of the first institutions in Asia to be established as a multidisciplinary and Western-style university. Its alumni and faculty include several heads of state, heads of government, social reformers, prominent artists, only academy award winner and Dirac medal winner in India, many Fellows of the Royal Society and five Nobel laureates as of 2019 which is highest in South Asia.

Journal	Journal of Geometry
Publisher	Birkhauser Verlag AG
ISSN	0047-2468
Open Access	No