211 citations · 2.1k across the 102 of their papers we have counts for
19 papers · 1 filter
Scalar curvature estimation of Generalized Ricci-Yamabe solitons
Absos Ali Shaikh, Prosenjit Mandal, Chandan Kumar Mondal
This paper is concerned with the study of generalized gradient Ricci-Yamabe solitons. We characterize the compact generalized gradient Ricci-Yamabe soliton and find certain conditi…
Diameter estimation of -quasi Einstein manifolds
Absos Ali Shaikh, Prosenjit Mandal, Chandan Kumar Mondal
This paper aims to study the -quasi Einstein manifold. This article shows that a complete and connected Riemannian manifold under certain conditions becomes compact. Also, w…
Splitting theorem of Gradient -Einstein solitons
Absos Ali Shaikh, Prosenjit Mandal, Chandan Kumar Mondal
In this paper, we have proved a weighted Laplacian comparison of distance function for manifolds with Bakry-Émery curvature bounded from below. Next, we have shown that a gradient…
Diameter estimation of gradient -Einstein solitons
Absos Ali Shaikh, Prosenjit Mandal, Chandan Kumar Mondal
Our aim in this article is to give a lower bound of the diameter of a compact gradient -Einstein soliton satisfying some given conditions. We have also deduced some conditions o…
-quasi Einstein manifolds with convex potential
Absos Ali Shaikh, Prosenjit Mandal, Chandan Kumar Mondal +1
The main objective of this paper is to investigate the -quasi Einstein manifold when the potential function becomes convex. In this article, it is proved that an -quasi Einst…
Compact gradient -Einstein soliton is isometric to the Euclidean sphere
Absos Ali Shaikh, Chandan Kumar Mondal, Prosenjit Mandal
In this paper we have investigated some aspects of gradient -Einstein Ricci soliton in a complete Riemannian manifold. First, we have proved that the compact gradient -Einste…
Isometry theorem of gradient Shrinking Ricci solitons
Absos Ali Shaikh, Chandan Kumar Mondal
In this paper, we have proved that if a complete conformally flat gradient shrinking Ricci soliton has linear volume growth or the scalar curvature is finitely integrable and also…
Isometry theorem of Cartan-Hadamard manifold
Absos Ali Shaikh, Prosenjit Mandal, Chandan Kumar Mondal +1
Cartan-Hadamard manifold is a simply connected Riemannian manifold with non-positive sectional curvature. In this article, we have proved that a Cartan-Hadamard manifold satisfying…
On Ricci solitons whose potential is convex
Chandan Kumar Mondal, Absos Ali Shaikh
In this paper we consider the Ricci curvature of a Ricci soliton. In particular, we have showed that a complete gradient Ricci soliton with non-negative Ricci curvature possessing…
Non-existence of Riemannian metric satisfying Yamabe soliton
Absos Ali Shaikh, Chandan Kumar Mondal
In this paper we have proved that a compact Riemannian manifold does not admit a metric with positive scalar curvature if there exists a real valued function in this manifold which…
Extension property of continuous functions in a Riemannain manifold with a pole
Absos Ali Shaikh, Chandan Kumar Mondal
The Brouwer fixed point theorem says that any continuous function from disc to itself has a fixed point. By using simple geometrical technique we have generalized the result in man…
Some results on -Ricci Soliton and gradient -Einstein soliton in a complete Riemannian manifold
Absos Ali Shaikh, Chandan Kumar Mondal
The main purpose of the paper is to prove that if a compact Riemannian manifold admits a gradient -Einstein soliton such that the gradient Einstein potential is a non-trivial co…
Integral Liouville theorem in a complete Riemannian manifold
Absos Ali Shaikh, Chandan Kumar Mondal
If the Killing vector field in a Riemannian manifold is the gradient of a smooth real valued function, then it is called Killing potential. In this paper we have deduced a necessar…
Polynomial growth of subharmonic functions in a strongly symmetric Riemannian manifold
Absos Ali Shaikh, Chandan Kumar Mondal
In this article we have studied some properties of subharmonic functions in a strongly symmetric Riemannian manifold with a pole. As a generalization of polynomial growth of a func…
Geodesic Sandwich Theorem with an Application
Absos Ali Shaikh, Ravi P. Agarwal, Chandan Kumar Mondal
The main goal of the paper is to prove the sandwich theorem for geodesic convex functions in a complete Riemannian manifold. Then by using this theorem we have proved an inequality…
Non-existence of certain type of convex functions on a Riemannian manifold with a pole
Absos Ali Shaikh, Chandan Kumar Mondal, Izhar Ahmad
This paper is devoted to the study of non-existence of certain type of convex functions on a Riemannian manifold with a pole. To this end, we have developed the notion of odd and e…
A note on -convex set in a complete Riemannian manifold
Absos Ali Shaikh, Chandan Kumar Mondal, Akhlad Iqbal
In this paper we have generalized the notion of -radial contraction in complete Riemannian manifold and developed the concept of -convex function. We have also given a coun…
Some results on --convex functions and geodesic -convex functions
Absos Ali Shaikh, Akhlad Iqbal, Chandan Kumar Mondal
As a generalization of geodesic function, in the present paper, we introduce the notion of geodesic -convex function and deduce some basic properties of -convex function and…
On locally phi-semisymmetric Sasakian manifolds
Absos Ali Shaikh, Chandan Kumar Mondal, Helaluddin Ahmad
Generalizing the notion of local -symmetry of Takahashi, in the present paper, we introduce the notion of local -semisymmetry of a Sasakian manifold along with its proper exi…