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We show that conformal vector fields on compact locally conformally product manifolds are orthogonal to the flat distribution and Killing with respect to the Gauduchon metric.

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Conformal Vector Fields on LCP Manifolds

  • 章节

  • 发表日期：

    2025年

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  • Brice Flamencourt,
  • Andrei Moroianu

摘要

We show that conformal vector fields on compact locally conformally product manifolds are orthogonal to the flat distribution and Killing with respect to the Gauduchon metric.