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

Autor: Barbosa, Ezequiel, Moya, David
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
Popis: 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, $n\geq3$. 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.
Comment: 9 pages, 1 figure
Databáze: arXiv