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

Published 13 Jan 2018 in math.DG | (1801.04447v1)

Abstract: 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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Yen-Chang Huang

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