S1-Equivariant CMC Surfaces in the Berger Sphere and the Corresponding Lagrangians

Autor:	Keiichi Kikuchi
Rok vydání:	2013
Předmět:	Conservation law Mean curvature Mathematical analysis Equivariant map SPHERES Mathematics::Differential Geometry General Medicine Constant (mathematics) Mathematics::Symplectic Geometry Mathematics Hamiltonian system
Zdroj:	Advances in Pure Mathematics. :259-263
ISSN:	2160-0384 2160-0368
Popis:	The periodic s1-equivariant hypersurfaces of constant mean curvature can be obtained by using the Lagrangians with suitable potential functions in the Berger spheres. In the corresponding Hamiltonian system, the conservation law is effectively applied to the construction of periodic s1-equivariant surfaces of arbitrary positive constant mean curvature.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::fdef785e3be1a6cd828dff324212462e https://doi.org/10.4236/apm.2013.32037 Zobrazit plný text záznamu