English

Geometric flows and Strominger systems

Differential Geometry 2017-04-11 v2 Complex Variables

Abstract

A geometric flow on (2,2)(2,2)-forms is introduced which preserves the balanced condition of metrics, and whose stationary points satisfy the anomaly equation in Strominger systems. The existence of solutions for a short time is established, using Hamilton's version of the Nash-Moser implicit function theorem.

Keywords

Cite

@article{arxiv.1508.03315,
  title  = {Geometric flows and Strominger systems},
  author = {Duong H. Phong and Sebastien Picard and Xiangwen Zhang},
  journal= {arXiv preprint arXiv:1508.03315},
  year   = {2017}
}

Comments

16 pages, final version, to appear in Math. Z

R2 v1 2026-06-22T10:33:15.164Z