Properly Embedded Least Area Planes in Gromov Hyperbolic 3-Spaces

Details Properly Embedded Least Area Planes in Gromov Hyperbolic 3-Spaces Properly Embedded Least Area Planes in Gromov Hyperbolic 3-Spaces

2006-09-04

arxiv.org/abs/math/0609099v2

Proc. Amer. Math. Soc. 136 (2008) 1427-1432.

Mathematics

Geometric Topology

Scientific paper

We show that for any simple closed curve in the sphere at infinity of a Gromov hyperbolic 3-space with cocompact metric, there exist a properly embedded least area plane in the space spanning the given curve. This gives a positive answer to a conjecture of Gabai. Soma has already proven this conjecture earlier. Our technique here is simpler and more general, and it can be applied to many similar settings.

Affiliated with

Also associated with

No associations

Rating

Properly Embedded Least Area Planes in Gromov Hyperbolic 3-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 Properly Embedded Least Area Planes in Gromov Hyperbolic 3-Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Properly Embedded Least Area Planes in Gromov Hyperbolic 3-Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-727329