Actions of loop groups of simply connected \(H\)-surfaces in space forms. (English) Zbl 0936.53043

Fujioka, Atsushi

J. Math. Soc. Japan 50, No. 4, 819-829 (1998).

Author’s abstract: “In this paper we define certain loop groups which act on simply connected \(H\)-surfaces in space forms preserving conformality, and obtain a criterion for these group actions to be equivariant”.

MSC:

53C42	Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
37K25	Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry
53C43	Differential geometric aspects of harmonic maps
53A10	Minimal surfaces in differential geometry, surfaces with prescribed mean curvature

Keywords:

loop group; space form; harmonic map; constant mean curvature