Rukmini Dey

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20012004

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math.DG2003

The Weierstrass-Enneper Representation using hodographic coordinates on a minimal surface

Rukmini Dey

In this paper we obtain the general solution to the minimal surface equation, namely its local Weierstrass-Enneper representation, by using a system of hodographic coordinates. Thi…

math.DG2001

A variational proof for the existence of a conformal metric with preassigned negative Gaussian curvature for compact Riemann surfaces of genus $> 1$

Rukmini Dey

Given an smooth function $K < 0$ we prove a result by Berger, Kazhdan and others that in every conformal class there exists a metric which attains this function as its Gaussian curv…

The Weierstrass-Enneper Representation using hodographic coordinates on a minimal surface

A variational proof for the existence of a conformal metric with preassigned negative Gaussian curvature for compact Riemann surfaces of genus >1

A variational proof for the existence of a conformal metric with preassigned negative Gaussian curvature for compact Riemann surfaces of genus $> 1$