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arXiv · 2105.13051

Deformations of balanced metrics

Tommaso Sferruzza
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Abstract

Small deformations of the complex structure do not always preserve special metric properties in the Hermitian non-K\"ahler setting. In this paper, we find necessary conditions for the existence of smooth curves of balanced metrics $\{\omega_t\}_t$ which start with a fixed balanced metric $\omega$ for $t=0$, along a differentiable family of complex manifolds $\{M_t\}_t$.

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Tommaso Sferruzza. 2021-05-27. Deformations of balanced metrics. https://arxiv.org/abs/2105.13051

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