대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제31권3호
  • /
  • Pages.625-635
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  • 2016
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  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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SOME DOUBLY-WARPED PRODUCT GRADIENT RICCI SOLITONS

  • 투고 : 2015.08.02
  • 발행 : 2016.07.31
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초록

In this paper, we study certain doubly-warped products which admit gradient Ricci solitons with harmonic Weyl curvature and non-constant soliton function. The metric is of the form $g=dx^2_1+p(x_1)^2dx^2_2+h(x_1)^2\;{\tilde{g}}$ on ${\mathbb{R}}^2{\times}N$, where $x_1$, $x_2$ are the local coordinates on ${\mathbb{R}}^2$ and ${\tilde{g}}$ is an Einstein metric on the manifold N. We obtained a full description of all the possible local gradient Ricci solitons.

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참고문헌

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