The object of the present paper is to characterize ϵ-Kenmotsu manifolds admitting η-Ricci solitons. Finally, the existence of η-Ricci soliton in an ϵ-Kenmotsu manifold has been proved by a concrete example. © 2019, Springer Nature Switzerland AG.

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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.

University Of Calcutta

Journal of Geometry

The object of the present paper is to study 3-dimensional trans-Sasakian manifolds admitting Ricci solitons and gradient Ricci solitons. We prove that if (1, V, lambda) is a Ricci soliton where V is collinear with the characteristic vector field xi, then V is a constant multiple of xi and the manifold is of constant scalar curvature provided alpha, beta = constant. Next we prove that in a 3-dimensional trans-Sasakian manifold with constant scalar curvature if 1 is a gradient Ricci soliton, then the manifold is either a beta-Kenmotsu manifold or an Einstein manifold. As a consequence of this result we obtain several corollaries.

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Ricci solitons and gradient Ricci solitons in three-dimensional trans-Sasakian manifolds

Mathematica Montisnigri

Study on la-ring by their intuitionistic fuzzy ideals

Journal of Applied Fluid Mechanics

The Influence of Surface Tension on Oblique Wave Scattering by a
                        Rectangular Trench

  η -Ricci solitons on para-Sasakian manifolds

Advances in Pure and Applied Mathematics

Quasi-conformal curvature tensor with respect to a semi-symmetric non-metric connection in a Kenmotsu manifold

Î· -Ricci solitons in Ïµ -Kenmotsu manifolds

Journal	Journal of Geometry
Publisher	Birkhauser Verlag AG
ISSN	0047-2468