Curvature Formulas Related to a Family of Stable Higgs Bundles

  title={Curvature Formulas Related to a Family of Stable Higgs Bundles},
  author={Zhi Hu and Pengfei Huang},
  journal={Communications in Mathematical Physics},
  • Zhi Hu, Pengfei Huang
  • Published 29 December 2020
  • Mathematics
  • Communications in Mathematical Physics
Abstract. In this paper, we investigate the geometry of the base complex manifold of an effectively parametrized holomorphic family of stable Higgs bundles over a fixed compact Kähler manifold. The starting point of our study is Schumacher–Toma/Biswas–Schumacher’s curvature formulas for Weil–Petersson-type metrics, in Sect. 2, we give some applications of their formulas on the geometric properties of the base manifold. In Sect. 3, we calculate the curvature on the higher direct image bundle… 



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