Talks by Felix Schulze

The half-space property and entire positive minimal graphs in $M \times \mathbb{R}$

Felix Schulze University College London

Dec 14 2012 12:00

We show that a properly immersed minimal hypersurface in $M \times \mathbb{R}^+$ equals some $M \times \{c\}$ when $M$ is a complete, recurrent n-dimensional Riemannian manifold with bounded curvature. If on the other hand, $M$ has nonnegative Ricci curvature with curvature bounded below, the same result holds for any positive entire minimal graph over $M$ .
This is joint work with H. Rosenberg and J. Spruck.

Felix Schulze (University College London) The half-space property and entire positive minimal graphs in

M \times \mathbb{R}