Open Access
June 2005 Grassmann geometry on the 3-dimensional Heisenberg group
Jun-ichi INOGUCHI, Kenji KUWABARA, Hiroo NAITOH
Hokkaido Math. J. 34(2): 375-391 (June 2005). DOI: 10.14492/hokmj/1285766228

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.

Citation

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Jun-ichi INOGUCHI. Kenji KUWABARA. Hiroo NAITOH. "Grassmann geometry on the 3-dimensional Heisenberg group." Hokkaido Math. J. 34 (2) 375 - 391, June 2005. https://doi.org/10.14492/hokmj/1285766228

Information

Published: June 2005
First available in Project Euclid: 29 September 2010

zbMATH: 1082.53022
MathSciNet: MR2159003
Digital Object Identifier: 10.14492/hokmj/1285766228

Subjects:
Primary: 53C40
Secondary: 53B25 , 53C30

Keywords: constant mean curvature , Grassmann geometry of surfaces , Heisenberg group

Rights: Copyright © 2005 Hokkaido University, Department of Mathematics

Vol.34 • No. 2 • June 2005
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