The existence of horizontal envelopes in the 3D-Heisenberg group
Differential Geometry
2018-01-16 v1
Abstract
By using the support function on the -plane, we show the necessary and sufficient conditions for the existence of envelopes of horizontal lines in the 3D-Heisenberg group. A method to construct horizontal envelopes from the given ones is also derived, and we classify the solutions satisfying the construction.
Cite
@article{arxiv.1801.04447,
title = {The existence of horizontal envelopes in the 3D-Heisenberg group},
author = {Yen-Chang Huang},
journal= {arXiv preprint arXiv:1801.04447},
year = {2018}
}
Comments
10 pages, 2 figures