English

$C^{1,1}$ regularity of geodesics in the space of volume forms

Differential Geometry 2018-07-03 v2 Analysis of PDEs

Abstract

We prove a C1,1C^{1,1} estimate for solutions of a class of fully nonlinear equations introduced by Chen-He. As an application, we prove the C1,1C^{1,1} regularity of geodesics in the space of volume forms.

Keywords

Cite

@article{arxiv.1806.03065,
  title  = {$C^{1,1}$ regularity of geodesics in the space of volume forms},
  author = {Jianchun Chu},
  journal= {arXiv preprint arXiv:1806.03065},
  year   = {2018}
}

Comments

7 pages; v2 some more details added, typos corrected