대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제25권1호
  • /
  • Pages.83-96
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  • 2010
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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GEODESIC SPHERES AND BALLS OF THE HEISENBERG GROUPS

  • 발행 : 2010.01.31
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초록

Let ${\mathbb{H}}^{2n+1}$ be the (2n+1)-dimensional Heisenberg group equipped with a left-invariant metric. In this paper we study the Gaussian curvatures of the geodesic spheres and the volumes of geodesic balls in ${\mathbb{H}}^{2n+1}$.

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참고문헌

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피인용 문헌

  1. Height and Area Estimates for Constant Mean Curvature Graphs in $$\mathbb {E}(\kappa ,\tau )$$ E ( κ , τ ) -Spaces vol.27, pp.4, 2017, https://doi.org/10.1007/s12220-017-9810-7