대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제56권3호
  • /
  • Pages.681-689
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  • 2019
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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A NOTE ON COMPACT MÖBIUS HOMOGENEOUS SUBMANIFOLDS IN 𝕊n+1

  • Ji, Xiu (Department of Mathematics Beijing Institute of Technology) ;
  • Li, TongZhu (Department of Mathematics Beijing Institute of Technology)
  • 투고 : 2018.05.23
  • 심사 : 2018.09.17
  • 발행 : 2019.05.31
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초록

The $M{\ddot{o}}bius$ homogeneous submanifold in ${\mathbb{S}}^{n+1}$ is an orbit of a subgroup of the $M{\ddot{o}}bius$ transformation group of ${\mathbb{S}}^{n+1}$. In this note, We prove that a compact $M{\ddot{o}}bius$ homogeneous submanifold in ${\mathbb{S}}^{n+1}$ is the image of a $M{\ddot{o}}bius$ transformation of the isometric homogeneous submanifold in ${\mathbb{S}}^{n+1}$.

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과제정보

연구 과제 주관 기관 : NSFC

참고문헌

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