논문KCI 등재
BISECTORS IN THE HEISENBERG GROUP I
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초록
We show that metric bisectors with respect to the Kor\'anyi metric in the Heisenberg group are spinal spheres and vice versa. We also calculate explicitly their horizontal mean curvature.
Abstract
We show that metric bisectors with respect to the Kor\'anyi metric in the Heisenberg group are spinal spheres and vice versa. We also calculate explicitly their horizontal mean curvature.
참고문헌 (6)
- O. Calin, "Geometric mechanics on the Heisenberg group", Bull. Inst. Math. Acad. Sinica, 33(3), pp.185~252 (2005)
- W. M. Goldman, "Oxford Mathematical Monographs" (1999), The Clarendon Press, Oxford University Press
- Tom Klein, "The Horofunction boundary of the Heisenberg Group: The Carnot-Carathéodory metric", Conformal Geometry and Dynamics of the American Mathematical Society, 14(15), pp.269~295 (2010), American Mathematical Society (AMS)[DOI]
- J. R. Parker, "Notes on Complex Hyperbolic Geometry" (2007), The Jyvaskyla Notes
- John Parker, "Complex hyperbolic free groups with many parabolic elements", Geometry, Groups and Dynamics, pp.327~348 (2015), American Mathematical Society[DOI]
- John Parker, "A complex hyperbolic Riley slice", Geometry & Topology, 21(6), pp.3391~3451 (2017), Mathematical Sciences Publishers[DOI]
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