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arXiv 2018-01-13 0 views

The existence of horizontal envelopes in the 3D-Heisenberg group

Huang, Yen-Chang

Original · EN

By using the support function on the xy-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.

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