Proper free-boundary minimal hypersurfaces with a rotational symmetry in the Schwarzschild space

Abstract

In this work we present a new family of properly embedded free boundary minimal hypersurfaces of revolution with circular boundaries in the horizon of the $n$-dimensional Schwarzschild space, $n\ge 3$. In particular, we answer a question proposed by O. Chodosh and D. Ketover \cite{CK} on the existence of non-totally geodesic minimal surfaces in the 3-dimensional Schwarzschild space.

9 pages, 1 figure

References in corpus (1)

• Asymptotically flat three-manifolds contain minimal planes