Mathematics – Differential Geometry
Scientific paper
2003-10-13
Comm. Anal. Geom. 12 (2004), 821--836
Mathematics
Differential Geometry
11 pages
Scientific paper
We show a generic finiteness result for least area planes in 3-dimensional hyperbolic space. Moreover, we prove that the space of minimal immersions of disk into hyperbolic space is a submanifold of a product bundle over a space of immersions of circle into sphere at infinity. The bundle projection map when restricted to this submanifold is Fredholm of index zero. By using this result, we also show that the space of minimal planes with smooth boundary curve at infinity is a manifold.
No associations
LandOfFree
Minimal Planes in Hyperbolic 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 Minimal Planes in Hyperbolic Space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Minimal Planes in Hyperbolic Space will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-639522