대한수학회지 (Journal of the Korean Mathematical Society)

  • 제57권2호
  • /
  • Pages.415-427
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  • 2020
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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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)
  • 투고 : 2019.02.01
  • 심사 : 2019.09.11
  • 발행 : 2020.03.01
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초록

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.

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참고문헌

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