Lindelöf's theorem for catenoids revisited

Details Lindelöf's theorem for catenoids revisited Lindelöf's theorem for catenoids revisited

2009-07-24

arxiv.org/abs/0907.4294v1

Proceedings of the American Mathematical Society 138 (2010) 3657-3669

Mathematics

Differential Geometry

Scientific paper

10.1090/S0002-9939-2010-10492-6

In this paper we study the maximal stable domains on minimal catenoids in Euclidean and hyperbolic spaces and in $H^2 \times R$. We in particular investigate whether half-vertical catenoids are maximal stable domains (\emph{Lindel\"of's property}). We also consider stable domains on catenoid-cousins in hyperbolic space. Our motivations come from Lindel\"of's 1870 paper on catenoids in Euclidean space.

Affiliated with

Also associated with

No associations

Rating

Lindelöf's theorem for catenoids revisited 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 Lindelöf's theorem for catenoids revisited, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lindelöf's theorem for catenoids revisited will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-310334