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arXiv · 1512.09199

The Donaldson geometric flow is a local smooth semiflow

Robin S. Krom
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Abstract

We prove the local existence of unique smooth solutions of the Donaldson geometric flow on the space of symplectic forms on a closed smooth four-manifold, representing a fixed cohomology class. It is a semiflow on the Besov space $B^{1,p}_2(M, Λ^2)$ for $p > 4$. The Donaldson geometric flow was introduced by Simon Donaldson in [2]. For a detailed exposition see [6].

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Robin S. Krom. 2015-12-31. The Donaldson geometric flow is a local smooth semiflow. https://arxiv.org/abs/1512.09199

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