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

Comments

  1. Ken W SmithDecember 19, 2015 at 8:56 AM

    I gave you an up vote! :-)

    ReplyDelete
  2. Roice NelsonDecember 19, 2015 at 8:57 AM

    Thanks Ken Smith!

    ReplyDelete
  3. wendy kriegerDecember 20, 2015 at 3:37 AM

    I gave you an upvote and an aswer. I don't know what ye be meaning by minimal surface, though.

    ReplyDelete
  4. Roice NelsonDecember 20, 2015 at 8:41 AM

    Thank you wendy krieger :)  By minimal surface, I mean that the mean curvature (within hyperbolic space) of the surface is everywhere zero.

    en.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.

    ReplyDelete

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