TY - JOUR
T1 - Transverse fully nonlinear equations on Sasakian manifolds and applications
AU - Feng, Ke
AU - Zheng, Tao
N1 - Publisher Copyright:
© 2019 Elsevier Inc.
PY - 2019/12/1
Y1 - 2019/12/1
N2 - 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 n, and give some geometric applications such as the transverse Calabi-Yau theorems for transverse Hermitian and (strongly) Gauduchon metrics.
AB - 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 n, and give some geometric applications such as the transverse Calabi-Yau theorems for transverse Hermitian and (strongly) Gauduchon metrics.
KW - Foliated vector bundles
KW - Sasakian manifold
KW - Transverse (strongly) Gauduchon metric
KW - Transverse balanced metric
KW - Transverse fully nonlinear equation
KW - Transverse positivity
UR - http://www.scopus.com/inward/record.url?scp=85072754882&partnerID=8YFLogxK
U2 - 10.1016/j.aim.2019.106830
DO - 10.1016/j.aim.2019.106830
M3 - Article
AN - SCOPUS:85072754882
SN - 0001-8708
VL - 357
JO - Advances in Mathematics
JF - Advances in Mathematics
M1 - 106830
ER -