Meeks, William H. ; Tinaglia, Giuseppe
(2008)
The CMC Dynamics Theorem in homogeneous n-manifolds.
[Preprint]
Full text available as:
Abstract
In this paper we generalize the Dynamics Theorem for nonzero CMC surfaces in R^3 to a new Dynamics Theorem for nonzero CMC hyper-surfaces in a homogeneous manifold. In this case, the role of translations of R^3 is played by a subgroup, G, of the isometry group of N which acts transitively on N.
Abstract
In this paper we generalize the Dynamics Theorem for nonzero CMC surfaces in R^3 to a new Dynamics Theorem for nonzero CMC hyper-surfaces in a homogeneous manifold. In this case, the role of translations of R^3 is played by a subgroup, G, of the isometry group of N which acts transitively on N.
Document type
Preprint
Creators
Subjects
DOI
Deposit date
31 Mar 2008
Last modified
16 May 2011 12:08
URI
Other metadata
Document type
Preprint
Creators
Subjects
DOI
Deposit date
31 Mar 2008
Last modified
16 May 2011 12:08
URI
This work may be freely consulted and used, may be reproduced on a permanent basis in a digital format (i.e. saving) and may be printed on paper with own personal equipment (without availing of third -parties services), for strictly and exclusively personal, research or teaching purposes, with express exclusion of any direct or indirect commercial use, unless otherwise expressly agreed between the user and the author or the right holder. All other rights are reserved. In particular, it is not allowed to retransmit it via telecommunication network, to distribute or send it in any form, including the personal redirection (e-mail).
Downloads
Downloads
Staff only: