## INOGUCHI Jun-ichi, KUWABARA Kenji, NAITOH Hiroo,

## Grassmann geometry on the 3-dimensional Heisenberg group.

## Hokkaido Mathematical Journal, 34 (2005) pp.375-391

### Fulltext

PDF### Abstract

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.

MSC(Primary) | 53C40 |
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MSC(Secondary) | 53B25, 53C30 |

Uncontrolled Keywords | Heisenberg group, Grassmann geometry of surfaces, constant mean curvature |