6 papers
On the complete maximal maps and their singularities
Rivu Bardhan, Indranil Biswas, Pradip Kumar +1
This article investigates the global structure of maximal surfaces (space-like immersions with zero mean curvature) in Lorentz-Minkowski -space , especially focu…
Critical-point-free energy for fractional-Toledo representations
Rivu Bardhan, Anu Dhochak, Pradip Kumar
Let be a closed oriented surface of genus . For a reductive representation $ρ:π_1(S_g)\to\PU(2,1)$, let be the energy function on Teichmüller space associated to…
Higher genus Angel surfaces
Rivu Bardhan, Indranil Biswas, Shoichi Fujimori +1
We prove the existence of complete minimal surfaces in of arbitrary genus and least total absolute curvature with precisely two ends -- one catenoidal…
Higher genus maxfaces with Enneper end
Rivu Bardhan, Indranil Biswas, Pradip Kumar
We have proven the existence of new higher-genus maxfaces with Enneper end. These maxfaces are not the companions of any existing minimal surfaces, and furthermore, the singularity…
Cuspidal crosscaps and folded singularities on a maxface and a minface
Rivu Bardhan, Anu Dhochak, Pradip Kumar
For a given zero mean curvature surface (in the Lorentz Minkowski space) having folded singularity, we construct a family of maxface and minface, having increasing cuspidal cro…
A generalization of Kannan and Fisher fixed point theorems with an application to Volterra type integral equations
Rivu Bardhan, Cenep Ozel, Liliana Guran
In this paper, we discuss about the independent types of infinite extensions to a general version of Kannan [5] and Fisher [3] of which the well-known Kannan and Fisher theorems co…