TY - JOUR
T1 - The chern-ricci flow on oeljeklaus-Toma manifolds
AU - Zheng, Tao
N1 - Publisher Copyright:
© Canadian Mathematical Society 2016.
PY - 2017/2
Y1 - 2017/2
N2 - We study the Chern-Ricci flow, an evolution equation of Hermitian metrics, on a family of Oeljeklaus-Toma (OT-) manifolds that are non-Kähler compact complex manifolds with negative Kodaira dimension. We prove that after an initial conformal change, the flow converges in the Gromov-Hausdorò sense to a torus with a flat Riemannianmetric determined by the OT-manifolds themselves.
AB - We study the Chern-Ricci flow, an evolution equation of Hermitian metrics, on a family of Oeljeklaus-Toma (OT-) manifolds that are non-Kähler compact complex manifolds with negative Kodaira dimension. We prove that after an initial conformal change, the flow converges in the Gromov-Hausdorò sense to a torus with a flat Riemannianmetric determined by the OT-manifolds themselves.
KW - Calabi-Type estimate
KW - Chern-ricci flow
KW - Gromov- hausdorò convergence
KW - Oeljeklaus-Toma manifold
UR - http://www.scopus.com/inward/record.url?scp=85010002326&partnerID=8YFLogxK
U2 - 10.4153/CJM-2015-053-0
DO - 10.4153/CJM-2015-053-0
M3 - Article
AN - SCOPUS:85010002326
SN - 0008-414X
VL - 69
SP - 220
EP - 240
JO - Canadian Journal of Mathematics
JF - Canadian Journal of Mathematics
IS - 1
ER -