INOGUCHI Jun-ichi, KUWABARA Kenji, NAITOH Hiroo,
Grassmann geometry on the 3-dimensional Heisenberg group.
Hokkaido Mathematical Journal, 34 (2005) pp.375-391
In this paper the geometries of surfaces in the 3-dimensional Heisenberg group with a left invariant metric are classified from a stand point of the Grassmann geometry, and for each of them the existence or nonexistence of surfaces with constant mean curvature is clarified.
|Uncontrolled Keywords||Heisenberg group, Grassmann geometry of surfaces, constant mean curvature|