Harmonic total Chern forms and stability

Access this Article

Author(s)

    • Futaki Akito
    • Department of Mathematics Tokyo Institute of Technology

Abstract

In this paper we will perturb the scalar curvature of compact Kähler manifolds by incorporating it with higher Chern forms, and then show that the perturbed scalar curvature has many common properties with the unperturbed scalar curvature. In particular the perturbed scalar curvature becomes a moment map, with respect to a perturbed symplectic structure, on the space of all complex structures on a fixed symplectic manifold, which extends the results of Donaldson and Fujiki on the unperturbed case.

Journal

  • Kodai Mathematical Journal

    Kodai Mathematical Journal 29(3), 346-369, 2006

    Department of Mathematics, Tokyo Institute of Technology

Codes

  • NII Article ID (NAID)
    130004948961
  • Text Lang
    ENG
  • ISSN
    0386-5991
  • Data Source
    J-STAGE 
Page Top