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<p>In this article, we present characterizations of the concavity property of minimal <i>L</i><sup>2</sup> integrals degenerating to linearity in the case of fibrations over products of open Riemann surfaces. As applications, we obtain characterizations of the holding of the equality in the optimal jets <i>L</i><sup>2</sup> extension problem from fibers over products of analytic subsets to fibrations over products of open Riemann surfaces, which implies characterizations of the equality parts of the Suita conjecture and the extended Suita conjecture for fibrations over products of open Riemann surfaces.</p>

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Concavity property of minimal L2 integrals with Lebesgue measurable gain VI: Fibrations over products of open Riemann surfaces

  • 期刊论文

  • 发表日期：

    2025年7月3日

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  • Shijie Bao,
  • Qi’an Guan,
  • Zheng Yuan

摘要

In this article, we present characterizations of the concavity property of minimal L2 integrals degenerating to linearity in the case of fibrations over products of open Riemann surfaces. As applications, we obtain characterizations of the holding of the equality in the optimal jets L2 extension problem from fibers over products of analytic subsets to fibrations over products of open Riemann surfaces, which implies characterizations of the equality parts of the Suita conjecture and the extended Suita conjecture for fibrations over products of open Riemann surfaces.