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

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

2003-09-20

arxiv.org/abs/math/0309340v3

Proc. Indian Acad. Sci. (Math. Sci.), Vol. 113, No. 2, May 2003, pp. 189-193

Mathematics

Differential Geometry

5-pages, semi-expository article, published in Proceedings of the Indian Academy of Sciences, 2003 (an electronic journal)

Scientific paper

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. This is done by using the method of solving the Born-Infeld equations by Whitham. We directly compute conformal coordinates on the minimal surface which give the Weierstrass-Enneper representation. From this we derive the hodographic coordinate $\rho \in D \subset {\CC}$ and $\sigma $ its complex conjugate which enables us to write the Weierstrass-Enneper representation in a new way.

Affiliated with

Also associated with

No associations

Rating

The Weierstrass-Enneper Representation using hodographic coordinates on a minimal surface does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Weierstrass-Enneper Representation using hodographic coordinates on a minimal surface, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Weierstrass-Enneper Representation using hodographic coordinates on a minimal surface will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-276186