Marginally trapped surfaces in L4 and an extended Weierstrass-Bryant representation

Details Marginally trapped surfaces in L4 and an extended Weierstrass-Bryant representation Marginally trapped surfaces in L4 and an extended Weierstrass-Bryant representation

2005-03-30

arxiv.org/abs/math/0503702v1

Mathematics

Differential Geometry

20 pages

Scientific paper

We give a conformal representation in terms of meromorphic data for a certain class of spacelike surfaces in the Lorentz-Minkowski 4-space L^4 whose mean curvature vector is either lightlike or zero at each point. This representation extends simultaneously the Weierstrass representation for minimal surfaces in Euclidean 3-space and for maximal surfaces in the Lorentz-Minkowski 3-space, and the Bryant representation for mean curvature one surfaces in the hyperbolic 3-space and in the de Sitter 3-space.

Affiliated with

Also associated with

No associations

Rating

Marginally trapped surfaces in L4 and an extended Weierstrass-Bryant representation 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 Marginally trapped surfaces in L4 and an extended Weierstrass-Bryant representation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Marginally trapped surfaces in L4 and an extended Weierstrass-Bryant representation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-439368