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Higher order parallel surfaces in the Heisenberg group

Authors
Journal
Differential Geometry and its Applications
0926-2245
Publisher
Elsevier
Publication Date
Volume
26
Issue
1
Identifiers
DOI: 10.1016/j.difgeo.2007.11.001
Keywords
  • Higher Order Parallel
  • Surface
  • Second Fundamental Form
  • Heisenberg Group

Abstract

Abstract We give a classification of k-parallel surfaces in the three-dimensional Heisenberg group. In particular, we prove that every k-parallel surface in the Heisenberg group is a vertical cylinder over a polynomial spiral of degree at most k − 1 .

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