Higher K-energy functionals and higher Futaki invariants

Details Higher K-energy functionals and higher Futaki invariants Higher K-energy functionals and higher Futaki invariants

2002-04-23

arxiv.org/abs/math/0204271v2

Mathematics

Differential Geometry

14 pages, Latex; references added, Theorem 2 corrected

Scientific paper

This note discusses the higher K-energy functionals which were defined by
Bando and Mabuchi, and integrate higher Futaki invariants. Two new formulas for
the higher K-energy functionals are given, and the second K-energy is shown to
be related to Donaldson's Lagrangian applied to metrics on the tangent bundle.

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