Rukmini Dey

activity

20012004

collaborators

3 papers

math.AP2004

A complete conformal metric of preassigned negative Gaussian curvature for a punctured hyperbolic Riemann surface

Rukmini Dey

Let $h$ be a complete metric of Gaussian curvature $K_{0}$ on a punctured Riemann surface of genus $g \geq 1$ (or the sphere with at least three punctures). Given a smooth negative f…

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…

A complete conformal metric of preassigned negative Gaussian curvature for a punctured hyperbolic Riemann surface

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 $> 1$