7 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…
Superposition of Harmonic Surfaces: Helical Motifs in Lamellar Structures
Priyank Vasu
We study harmonic surfaces in through the framework of harmonic Enneper immersions and prove a superposition principle for such surfaces. We prove that minimal and m…
Duality of zero mean curvature surfaces in the Lorentzian Heisenberg group
Sai Rasmi Ranjan Mohanty, Priyank Vasu
We study a transformation surface associated with a zero mean curvature surface in the three-dimensional Heisenberg group with respect to two left-invariant semi-Riemannian metrics…
Harmonic Enneper Immersion in
Priyank Vasu
We present a method for constructing harmonic immersions in , known as the Enneper-type representation. We also prove that any harmonic immersion in ca…
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…