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math.DG2026
On Finite and Infinite Decompositions of Zero Mean Curvature Graphs
Priyank Vasu, Sam K Mathew, Rahul Kumar Singh +1
In this paper, we investigate finite and infinite decomposition formulas for zero mean curvature (ZMC) graphs in three-dimensional spaces with different metrics, including Euclidea…
math.DG2024
Interpolation by maximal and minimal surfaces
Rukmini Dey, Rahul Kumar Singh
In this article, we use the inverse function theorem for Banach spaces to interpolate a given real analytic spacelike curve in Lorentz-Minkowski space to another…
math.DG2024
CMC surfaces of revolution, Elliptic curves, Weierstrass- functions, and Algebraicity
Rukmini Dey, Anantadulal Paul, Rahul Kumar Singh
This paper establishes an interesting connection between the family of CMC surfaces of revolution in and some specific families of elliptic curves. As a consequence…