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arXiv · 1805.01029

A flow of conformally balanced metrics with K\"ahler fixed points

Duong H. Phong·Sebastien Picard·Xiangwen Zhang
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Abstract

While the Anomaly flow was originally motivated by string theory, its zero slope case is potentially of considerable interest in non-Kahler geometry, as it is a flow of conformally balanced metrics whose stationary points are precisely Kahler metrics. We establish its convergence on Kahler manifolds for suitable initial data. We also discuss its relation to some current problems in complex geometry.

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Duong H. Phong, Sebastien Picard, Xiangwen Zhang. 2018-05-02. A flow of conformally balanced metrics with K\"ahler fixed points. https://arxiv.org/abs/1805.01029

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