대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제61권4호
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  • Pages.933-948
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  • 2024
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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RIGIDITY RESULTS FOR COMPACT V-STATIC SPACE

  • Guangyue Huang (College of Mathematics and Information Science Henan Normal University) ;
  • Botao Wang (College of Mathematics and Information Science Henan Normal University)
  • 투고 : 2023.08.31
  • 심사 : 2024.03.25
  • 발행 : 2024.07.31
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⟨ 이전 논문 다음 논문 ⟩

초록

For (n ≥ 5)-dimensional compact V-static spaces with zero radial Weyl curvature, we prove that ∇f is an eigenvector of Ricci tensor. Furthermore, we also achieve that (Mn, g, f) is T-flat provided $K{\frac{{\mid}{\nabla}{\mid}f^2}{f}}>0$.

키워드

과제정보

The research of the authors is supported by NSFC (No. 11971153) and Key Scientific Research Project for Colleges and Universities in Henan Province (No. 23A110007).

참고문헌

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