Noether invariants for constant mean curvature surfaces in 3-dimensional homogeneous spaces

Autor:	Cartier, Sébastien
Rok vydání:	2013
Předmět:	Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	We give explicit formul{\ae} for Noether invariants associated to Killing vector fields for the variational problem of minimal and constant mean curvature surfaces in 3-manifolds. In the case of homogeneous spaces, such invariants are the flux (associated to translations) and the torque (associated to rotations). Then we focus on homogeneous spaces with isometry groups of dimensions 3 or 4 and study the behavior of these invariants under the action of isometries. Finally, we give examples of actual computations and of interpretations of these invariants in different situations. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1303.6391 Zobrazit plný text záznamu View this record from Arxiv