충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제35권3호
  • /
  • Pages.235-242
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  • 2022
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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EINSTEIN WARPED PRODUCT MANIFOLDS WITH 3-DIMENSIONAL FIBER MANIFOLDS

  • 투고 : 2022.06.12
  • 심사 : 2022.08.25
  • 발행 : 2022.08.15
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초록

In this paper, we consider the existence of nonconstant warping functions on a warped product manifold M = B × f2 F, where B is a q(> 2)-dimensional base manifold with a nonconstant scalar curvature SB(x) and F is a 3- dimensional fiber Einstein manifold and discuss that the resulting warped product manifold is an Einstein manifold, using the existence of the solution of some partial differential equation.

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과제정보

This work was supported by Chosun University Research Fund 2019.

참고문헌

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