Transverse Fully Nonlinear Equations on Sasakian Manifolds and Applications
Differential Geometry
2019-10-04 v3
Abstract
We prove a priori estimates for a class of transverse fully nonlinear equations on Sasakian manifolds and give some geometric applications such as the transversion Calabi-Yau theorem for transverse balanced and (strongly) Gauduchon metrics. We also explain that similar results hold on compact oriented, taut, transverse Hermitian foliated manifold of complex co-dimension , and give some geometric applications such as the transverse Calabi-Yau theorems for transverse Hermitian and (strongly) Gauduchon metrics.
Keywords
Cite
@article{arxiv.1808.04120,
title = {Transverse Fully Nonlinear Equations on Sasakian Manifolds and Applications},
author = {Ke Feng and Tao Zheng},
journal= {arXiv preprint arXiv:1808.04120},
year = {2019}
}
Comments
46 pages,minor typos correction,final version to appear in Advances in Mathematics