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arXiv · 1512.09200

Remarks on the Donaldson metric

Robin S. Krom
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Abstract

The Donaldson metric is a metric on the space of symplectic two-forms in a fixed cohomology class. It was introduced in [2]. We compute the associated Levi-Civita connection, describe it's geodesics and compute the formula for the covariant Hessian of an energy functional on the space of symplectic structures in a fixed cohomology class, introduced by S.Donaldson in [1].

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Robin S. Krom. 2016-01-18. Remarks on the Donaldson metric. https://arxiv.org/abs/1512.09200

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