The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Comparison principles and Liouville theorems for prescribed mean curvature equations in unbounded domains”

Doubling constant mean curvature tori in S 3

Adrian Butscher, Frank Pacard (2006)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

The Clifford tori in S 3 constitute a one-parameter family of flat, two-dimensional, constant mean curvature (CMC) submanifolds. This paper demonstrates that new, topologically non-trivial CMC surfaces resembling a pair of neighbouring Clifford tori connected at a sub-lattice consisting of at least two points by small catenoidal bridges can be constructed by perturbative PDE methods. That is, one can create a submanifold that has almost everywhere constant mean curvature by gluing a re-scaled...