Rotational and Parabolic Surfaces in ~(PSL2)(R, tau ) and Applications.

Espinoza Peñafiel Carlos Diosdado (1)

1 PUC-RJ - Departamento de Matematica

We study surfaces of constant mean curvature which are invariant by oneparameter group of either rotational isometries or parabolic isometries, immersed into the homogeneous manifold ~(PSL2)(R, tau ). Also, we give some applications.

Mots clés: Constant mean curvature. Rotational surfaces. Parabolic surfaces.

Mots clés: Constant mean curvature. Rotational surfaces. Parabolic surfaces

Domaines: Géométrie différentielle [math.DG]

Espinoza Peñafiel Carlos Diosdado. Rotational and Parabolic Surfaces in ~(PSL2)(R, tau ) and Applications.. 2009. ⟨hal-00431290v2⟩