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<p>We study metrics on product manifolds which are critical for some quadratic curvature functionals. As a consequence, we provide construction methods and new examples in arbitrary dimension.</p>

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On direct products of critical metrics for quadratic curvature functionals

  • 期刊论文

  • 发表日期：

    2025年1月28日

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  • S. Caeiro-Oliveira

摘要

We study metrics on product manifolds which are critical for some quadratic curvature functionals. As a consequence, we provide construction methods and new examples in arbitrary dimension.