My first mathoverflow question
My first mathoverflow question
In the H^3 upper half space model, is a hemiellipsoid perpendicular to the plane at infinity a minimal surface?
Maybe I can get more than 1 reputation point now, and be able to upvote other answers :)
http://mathoverflow.net/questions/226524/in-the-mathbbh3-upper-half-space-model-is-a-hemiellipsoid-perpendicular-t
In the H^3 upper half space model, is a hemiellipsoid perpendicular to the plane at infinity a minimal surface?
Maybe I can get more than 1 reputation point now, and be able to upvote other answers :)
http://mathoverflow.net/questions/226524/in-the-mathbbh3-upper-half-space-model-is-a-hemiellipsoid-perpendicular-t
I gave you an up vote! :-)
ReplyDeleteThanks Ken Smith!
ReplyDeleteI gave you an upvote and an aswer. I don't know what ye be meaning by minimal surface, though.
ReplyDeleteThank you wendy krieger :) By minimal surface, I mean that the mean curvature (within hyperbolic space) of the surface is everywhere zero.
ReplyDeleteen.wikipedia.org/wiki/Minimal_surface
Even though an ellipsoid has positive mean curvature in euclidean space, I suspect this shape in the upper half space model can be minimal inside H^3.