TY - JOUR
T1 - A new geometric flow over Kähler manifolds
AU - Li, Yi
AU - Yuan, Yuan
AU - Zhang, Yuguang
N1 - Publisher Copyright:
© 2020 International Press of Boston, Inc.. All rights reserved.
PY - 2020/12/2
Y1 - 2020/12/2
N2 - In this paper, we introduce a geometric flow for Kähler metrics ωt coupled with closed (1, 1)-forms αt on a compact Kähler manifold, whose stationary solution is a constant scalar curvature Kähler (cscK) metric, coupled with a harmonic (1, 1)-form. We establish the long-time existence, i.e., assuming the initial (1, 1)-form α is nonnegative, then the flow exists as long as the norm of the Riemannian curvature tensors are bounded.
AB - In this paper, we introduce a geometric flow for Kähler metrics ωt coupled with closed (1, 1)-forms αt on a compact Kähler manifold, whose stationary solution is a constant scalar curvature Kähler (cscK) metric, coupled with a harmonic (1, 1)-form. We establish the long-time existence, i.e., assuming the initial (1, 1)-form α is nonnegative, then the flow exists as long as the norm of the Riemannian curvature tensors are bounded.
UR - http://www.scopus.com/inward/record.url?scp=85098323665&partnerID=8YFLogxK
U2 - 10.4310/CAG.2020.V28.N6.A1
DO - 10.4310/CAG.2020.V28.N6.A1
M3 - Article
AN - SCOPUS:85098323665
SN - 1019-8385
VL - 28
SP - 1251
EP - 1288
JO - Communications in Analysis and Geometry
JF - Communications in Analysis and Geometry
IS - 6
ER -