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Higher K-energy functionals and higher Futaki invariants

Ben Weinkove
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Abstract

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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Ben Weinkove. 2002-05-01. Higher K-energy functionals and higher Futaki invariants. https://arxiv.org/abs/math/0204271

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