5 papers
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…