English

Fully non-linear parabolic equations on compact Hermitian manifolds

Differential Geometry 2017-12-15 v2 Analysis of PDEs Complex Variables

Abstract

A notion of parabolic C-subsolutions is introduced for parabolic equations, extending the theory of C-subsolutions recently developed by B. Guan and more specifically G. Sz\'ekelyhidi for elliptic equations. The resulting parabolic theory provides a convenient unified approach for the study of many geometric flows.

Keywords

Cite

@article{arxiv.1711.10697,
  title  = {Fully non-linear parabolic equations on compact Hermitian manifolds},
  author = {Duong H. Phong and Dat T. Tô},
  journal= {arXiv preprint arXiv:1711.10697},
  year   = {2017}
}

Comments

References added, typos fixed

R2 v1 2026-06-22T23:00:28.009Z