Kyungpook Mathematical Journal

  • 제63권4호
  • /
  • Pages.611-622
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  • 2023
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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On the Characterization of Conformally Flat Weakly Einstein Finsler Metrics

  • Seema Jangir (Department of Mathematics and Statistics, Central University of Punjab) ;
  • Gauree Shanker (Department of Mathematics and Statistics, Central University of Punjab)
  • 투고 : 2023.01.31
  • 심사 : 2023.07.31
  • 발행 : 2023.12.31
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초록

In this paper, we prove that every weakly Einstein slope metric, which is conformally flat on a manifold M of dimension n ≥ 3, is either a locally Minkowski metric or a Riemannian metric. We also prove the same result for conformally flat weakly Einstein Kropina metrics.

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과제정보

The authors would like to thank the anonymous referees for their useful suggestions. The authors would like to thank professor Akbar Tayebi for his technical assistance with Maple software.

참고문헌

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