Conformal deformation of spacelike surfaces in Minkowski space

Details Conformal deformation of spacelike surfaces in Minkowski space Conformal deformation of spacelike surfaces in Minkowski space

2007-12-05

arxiv.org/abs/0712.0807v1

Houston J. Math. 35 (2009) 1029-1049

Mathematics

Differential Geometry

18 pages, final version to appear in Houston J. Math.

Scientific paper

We address the problem of second order conformal deformation of spacelike surfaces in compactified Minkowski 4-space. We explain the construction of the exterior differential system of conformal deformations and discuss its general and singular solutions. In particular, we show that isothermic surfaces are singular solutions of the system, which implies that a generic second order deformable surface is not isothermic. This differs from the situation in 3-dimensional conformal geometry, where isothermic surfaces coincide with deformable surfaces.

Affiliated with

Also associated with

No associations

Rating

Conformal deformation of spacelike surfaces in Minkowski space 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 Conformal deformation of spacelike surfaces in Minkowski space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conformal deformation of spacelike surfaces in Minkowski space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-311413