The object of the present paper is to study generalized (k, µ)-contact manifolds. At first we consider ϕ-semisymmetric generalized (k, µ)-contact manifolds. Beside these we study extended pseudo projectively flat generalized (k, µ)-contact manifolds. Also (k, µ)-contact manifold satisfying P¯e · S = 0 is also considered. As a consequence we obtain several corollaries. © Soc. Paran. de Mat.

PRADIP MAJHI

Pure Mathematics

G GHOSH

Fulltext

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

Boletim da Sociedade Paranaense de Matematica

The object of the present paper is to obtain a necessary and sufficient condition for a 3-dimensional generalized (kappa, mu)-contact metric manifold to be locally phi-symmetric in the sense of Takahashi and the condition is verified by an example. Next we characterize a 3-dimensional generalized (kappa, mu)-contact metric manifold satisfying certain curvature conditions on the concircular curvature tensor. Finally, we construct an example of a generalized (kappa, mu)-contact metric manifold to verify Theorem 1 of our paper.

Turkish Journal of Mathematics

On some classes of 3-dimensional generalized (kappa, mu)-contact metric manifolds

In this paper we study h-projectively semisymmetric, Φ-projectively semisymmetric, h-Weyl semisymmetric and Φ-Weyl semisymmetric non-Sasakian (κ,μ)-contact metric manifolds. In all the cases the manifold becomes an η-Einstein manifold. As a consequence of these results we obtain that if a 3-dimensional non-Sasakian (κ,μ)-contact metric manifold satisfies such curvature conditions, then the manifold reduces to an N(κ)-contact metric manifold. © 2012 The Korean Mathematical Society.

Communications of the Korean Mathematical Society

A classification of (Îº,Î¼)-contact metric manifolds

Acta Universitatis Apulensis

Quasi-conformal curvature tensor on generalized kappa,mu-contact metric manifolds

Canadian Mathematical Bulletin

On the Existence of a New Class of Contact Metric Manifolds

Illinois Journal of Mathematics

A full classification of contact metric $(k,mu)$-spaces

Certain results on generalized (k, Âµ)-contact manifolds

Journal	Boletim da Sociedade Paranaense de Matematica
Publisher	Boletim da Sociedade Paranaense de Matematica
ISSN	0037-8712
Open Access	No