Periodic Maximal surfaces in the Lorentz-Minkowski space $ł^3$

Details Periodic Maximal surfaces in the Lorentz-Minkowski space $ł^3$ Periodic Maximal surfaces in the Lorentz-Minkowski space $ł^3$

2004-12-22

arxiv.org/abs/math/0412461v3

Mathematics

Differential Geometry

27 pages, corrected typos, Lemma 2.5 and Theorem 4.1 changed

Scientific paper

A maximal surface $\sb$ with isolated singularities in a complete flat Lorentzian 3-manifold $\N$ is said to be entire if it lifts to a (periodic) entire multigraph $\tilde{\sb}$ in $\l^3.$ In addition, $\sb$ is called of finite type if it has finite topology, finitely many singular points and $\tilde{\sb}$ is finitely sheeted. Complete and proper maximal immersions with isolated singularities in $\N$ are entire, and entire embedded maximal surfaces in $\N$ with a finite number of singularities are of finite type. We classify complete flat Lorentzian 3-manifolds carrying entire maximal surfaces of finite type, and deal with the topology, Weierstrass representation and asymptotic behavior of this kind of surfaces. Finally, we construct new examples of periodic entire embedded maximal surfaces in $\l^3$ with fundamental piece having finitely many singularities.

Affiliated with

Also associated with

No associations

Rating

Periodic Maximal surfaces in the Lorentz-Minkowski space $ł^3$ 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 Periodic Maximal surfaces in the Lorentz-Minkowski space $ł^3$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Periodic Maximal surfaces in the Lorentz-Minkowski space $ł^3$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-543402