Mathematics – Differential Geometry
Scientific paper
2003-10-07
Mathematics
Differential Geometry
34 pages, 4 figures
Scientific paper
We give a construction that connects the Cauchy problem for Liouville elliptic equation with a certain initial value problem for mean curvature one surfaces in hyperbolic 3-space H3, and solve both of them. We construct the only mean curvature one surface in H3 that passes through a given curve with given unit normal along it, and provide diverse applications. In particular, topics like period problems, symmetries, finite total curvature, planar geodesics, rigidity, etc. of surfaces are treated.
Galvez Jose A.
Mira Pablo
No associations
LandOfFree
The Cauchy problem for Liouville equation and Bryant surfaces 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 The Cauchy problem for Liouville equation and Bryant surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Cauchy problem for Liouville equation and Bryant surfaces will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-320772