Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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BISECTORS IN THE HEISENBERG GROUP I

  • Gaoshun, Gou (School of Science Chongqing-University of Posts and Telecommunications) ;
  • Yueping, Jiang (Department of Mathematics Hunan University) ;
  • Ioannis D., Platis (Department of Mathematics and Applied Mathematics University of Crete University Campus)
  • Received : 2022.01.22
  • Accepted : 2022.03.08
  • Published : 2023.01.31
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Abstract

We show that metric bisectors with respect to the Korányi metric in the Heisenberg group are spinal spheres and vice versa. We also calculate explicitly their horizontal mean curvature.

Keywords

Acknowledgement

Part of this work has been carried out while IDP was visiting Hunan University, Changsha, PRC. Hospitality is gratefully appreciated. This work was financially supported by NSFC(No.11631010), NSFC (No.11901061) and cstc2021jcyj-msxmX0647. The authors would like to thank the referee(s) for their useful suggestions.

References

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