https://neckpinch.com/authors/arindam-bhattacharyya/New arXiv papers by Arindam Bhattacharyya, from Neckpinch Tue, 03 Nov 2026 07:15:30 GMT https://arxiv.org/abs/2609.15147arxiv:2609.15147Mon, 14 Sep 2026 00:00:00 GMTBidhan Mondal, Nirabhra Basu, Arindam Bhattacharyya — In this paper, we introduce some type vector fields with respect to a semi-symmetric non-metric (SSNM) connection. We investigate several geometric properties of a K-contact manifold equipped with an SSNM connection and provide a concrete example to justify the relation between the scalar curvature of the SSNM connection and Levi-Civita connection that we have obtained in this paper. Furthermore, we have found the nature of Riemann solitons, conformal Ricci solitons and conformal η-Ricci-Yamabe solitons on K-contact manifolds admitting a SSNM connection.\\ Finally, we determine the necessary and sufficient conditions for such a manifold to be Tildeτ-semi-symmetric, quasi-conformal-semi-symmetric and pseudo-projective-semi-symmetric.Ricci solitonsAlmost & η-Ricci solitonsScalar curvatureSasakian & contact geometry https://arxiv.org/abs/2509.18318arxiv:2509.18318Mon, 22 Sep 2025 00:00:00 GMTBidhan Mondal, Nirabhra Basu, Arindam Bhattacharyya — Lorantzian trans-Sasakian space form is a special type of space form in which the nature of even and odd dimensional space form both exist. Various curvature tensors with respect to Levi-Civita connection on the space form are derived in this paper. We have shown that if an odd-dimensional Lorentzian trans-Sasakian space form admits a hyperbolic Ricci soliton and hyperbolic conformal Ricci soliton then they will be η-Einstein. We also obtained the conditions for the solitons to be expanding, steady or shrinking. Finally, an example has been constructed which justifies the results obtained.Ricci solitonsAlmost & η-Ricci solitonsSphere theoremsSasakian & contact geometryPhysics https://arxiv.org/abs/2305.06597arxiv:2305.06597Thu, 11 May 2023 00:00:00 GMTParitosh Ghosh, Hemangi Madhusudan Shah, Arindam Bhattacharyya — In this research, we study the nature of η-Einstein and gradient η-Einstein soliton in the framework of almost coKähler manifolds and (κ, μ)-almost coKähler manifolds. We find some expressions for scalar curvature of the almost coKähler manifold admitting η-Einstein soliton in various cases. We also prove that if a (κ, μ)-almost coKähler manifold admits a gradient η-Einstein soliton, then either the manifold is coKähler, or N(κ)-almost coKahler, or the soliton is trivial. We present an example which validates our results. Finally, we investigate the asymptotically harmonic manifolds admitting non-trivial Ricci solitons and show that they exhibit rigid behavior if for example, scalar curvature attains maximum.Ricci solitonsAlmost & η-Ricci solitonsKähler geometryScalar curvature https://arxiv.org/abs/2109.05448arxiv:2109.05448Sun, 12 Sep 2021 00:00:00 GMTSumanjit Sarkar, Santu Dey, Arindam Bhattacharyya — In this paper, we initiate the study of conformal η-Ricci soliton and almost conformal η-Ricci soliton within the framework of para-Sasakian manifold. We prove that if para-Sasakian metric admits conformal η-Ricci soliton, then the manifold is η-Einstein and either the soliton vector field V is Killing or it leaves φ invariant. Here, we have shown the characteristics of the soliton vector field V and scalar curvature when the manifold admitting conformal η-Ricci soliton and vector field is pointwise collinear with the characteristic vector field ξ. Next, we show that a para-Sasakian metric endowed an almost conformal η-Ricci soliton is η-Einstein metric if the soliton vector field V is an infnitesimal contact transformation. We have also displayed that the manifold is Einstein if it represents a gradient almost conformal η-Ricci soliton. We have developed an example to display the alive of conformal η-Ricci soliton on 3-dimensional para-Sasakian manifold.Ricci solitonsEinstein metricsAlmost & η-Ricci solitons3-manifoldsScalar curvatureSasakian & contact geometry