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A NOTE ON THE EXISTENCE OF HORIZONTAL ENVELOPES IN THE 3D-HEISENBERG GROUP

  • Huang, Yen-Chang (Department of Applied Mathematics National University of Tainan)
  • Received : 2019.02.01
  • Accepted : 2019.09.11
  • Published : 2020.03.01

Abstract

By using the support functions 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.

Keywords

References

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