English

The Donaldson geometric flow is a local smooth semiflow

Symplectic Geometry 2016-01-01 v1 Differential Geometry

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 B21,p(M,Λ2)B^{1,p}_2(M, \Lambda^2) for p>4p > 4. The Donaldson geometric flow was introduced by Simon Donaldson in [2]. For a detailed exposition see [6].

Keywords

Cite

@article{arxiv.1512.09199,
  title  = {The Donaldson geometric flow is a local smooth semiflow},
  author = {Robin S. Krom},
  journal= {arXiv preprint arXiv:1512.09199},
  year   = {2016}
}
R2 v1 2026-06-22T12:20:40.724Z