A local estimate for maximal surfaces in Lorentzian product spaces

Details A local estimate for maximal surfaces in Lorentzian product spaces A local estimate for maximal surfaces in Lorentzian product spaces

2009-04-22

arxiv.org/abs/0904.3504v1

Mathematics

Differential Geometry

To appear in Matematica Contemporanea. Dedicated to Professor Manfredo P. do Carmo on the occasion of his 80th birthday

Scientific paper

In this paper we introduce a local approach for the study of maximal surfaces immersed into a Lorentzian product space of the form $M^2\times R_1$, where $M^2$ is a connected Riemannian surface and $M^2\times R_1$ is endowed with the product Lorentzian metric. Specifically, we establish a local integral inequality for the squared norm of the second fundamental form of the surface, which allows us to derive an alternative proof of our Calabi-Bernstein theorem given in \cite{AA}.

Affiliated with

Also associated with

No associations

Rating

A local estimate for maximal surfaces in Lorentzian product spaces 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 A local estimate for maximal surfaces in Lorentzian product spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A local estimate for maximal surfaces in Lorentzian product spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-275484