6 papers
K-contact manifolds admitting some geometric solitons with Semi-Symmetric Non-Metric Connection
Bidhan 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 manifo…
Hyperbolic solitons on trans-Sasakian space forms and its submanifolds
Bidhan Mondal, Sibsankar Panda, Nirabhra Basu
Kong and Liu introduced the concept of hyperbolic Ricci flow in 2007 and used it to study the wave character of metrics. After that, many mathematicians have used this new geometri…
Curvature tensors and hyperbolic solitons on Lorentzian trans-Sasakian space form
Bidhan 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 t…
Characteristics of almost conformal Ricci solitons on Sasakian manifold
Dipen Ganguly, Nirabhra Basu, Arindam Bhattacharyya
In this paper, we characterize the potential function of the almost conformal gradient Ricci soliton on a Sasakian manifold in terms of the non-dynamical scalar field and d…
Characteristics of conformal Ricci soliton on warped product spaces
Dipen Ganguly, Nirabhra Basu, Arindam Bhattacharyya
Conformal Ricci solitons are self similar solutions of the conformal Ricci flow equation. This paper deals with the study of conformal Ricci solitons within the framework of warped…
Some Results on Ricci Flow
Nirabhra Basu, Dipankar Debnath
In this paper we have introduced the notion of Ricci flow and shown that Ricci soliton which was introduced by Kakimakamis and Panagiotid in 2014, is a self similar solit…