4 papers
Decompositions of ZMC Graphs and Euler-Ramanujan type identities
Priyank Vasu, Sam K Mathew, Rahul Kumar Singh +1
In this paper, we study finite and infinite decomposition formulas for zero mean curvature (ZMC) graphs in Euclidean, Lorentz--Minkowski, and isotropic (3)-spaces. We first derive…
Modular Surfaces in Lorentz-Minkowski 3-Space: Curvature and Applications
Siddharth Panigrahi, Subham Paul, Rahul Kumar Singh +1
In this paper, we study the relation of the sign of the Gaussian and mean curvature of modular surfaces in Lorentz-Minkowski -space to the zeroes of the associated complex analy…
Decompositions of Scherk-Type Zero Mean Curvature Surfaces
Subham Paul, Priyank Vasu, Siddharth Panigrahi +1
In this paper, by using a special Euler-Ramanujan identity and the idea of Wick rotation, we show that a one-parameter family of solutions to the zero mean curvature equation in Lo…
Timelike minimal surface in with arbitrary ends
Priyank Vasu, Rahul Kumar Singh, Subham Paul
In this paper, we show the existence of a timelike minimal surface with an arbitrary number of weak complete ends. Then, we discuss the asymptotic behaviour of the simple ends and…