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arXiv · 2504.21672

Futaki invariant on Hopf manifolds

Giacomo Perri
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Abstract

The Futaki invariant is a fundamental tool in K\"ahler geometry representing an obstruction to the existence of K\"ahler-Einstein metrics. Recently, it was generalized to compact complex manifolds. In this paper, we prove that it vanishes on Hopf manifolds.

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Giacomo Perri. 2025-04-30. Futaki invariant on Hopf manifolds. https://arxiv.org/abs/2504.21672

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