Curvature of new Kähler metrics on the total space of Griffiths negative vector bundle and quasi-Fuchsian space
Journal article, 2024

We study Kahler metrics on the total space of Griffiths negative holomorphic vector bundles over Kähler manifolds. As an application, we construct mapping class group invariant Kähler metrics on >(), the holomorphic tangent bundle of Teichmüller space of a closed surface >S. Consequently,we obtain a new mapping class group invariant Kähler metric on the quasi-Fuchsian space >QF(S), which extends the Weil-Petersson metric on the Teichmüller space > (S) QF(S). We also calculate its curvature and prove non-positivity for the curvature along the tautological directions.

Griffiths negativity

Teichmüller space

complex projective structure

quasi-Fuchsian space


Inkang Kim

Korea Institute for Advanced Study

Xueyuan Wan

Chongqing University of Technology

Genkai Zhang

Chalmers, Mathematical Sciences, Analysis and Probability Theory

Communications in Contemporary Mathematics

0219-1997 (ISSN) 17936683 (eISSN)

Vol. In Press 2350059

Subject Categories

Algebra and Logic


Mathematical Analysis



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2/9/2024 1