Metric flips with Calabi ansatz
We study the limiting behavior of the Kähler–Ricci flow on P (O _ P^ n ⊕ O _ P^ n (-1)^ ⊕
(m+ 1)) for m, n≥ 1, assuming the initial metric satisfies the Calabi symmetry. We show that …
(m+ 1)) for m, n≥ 1, assuming the initial metric satisfies the Calabi symmetry. We show that …
On a modified parabolic complex Monge–Ampère equation with applications
A Chau, LF Tam - Mathematische Zeitschrift, 2011 - Springer
We study a modified parabolic complex Monge–Ampère type equation on a complete non-
compact Kähler manifold. We prove a short time existence result and obtain basic estimates …
compact Kähler manifold. We prove a short time existence result and obtain basic estimates …
Independence of singularity type for numerically effective Kähler–Ricci flows
H Wondo, Z Zhang - Geometry & Topology, 2025 - msp.org
We show that the singularity type of solutions to the Kähler–Ricci flow on a numerically
effective manifold does not depend on the initial metric. More precisely, if there exists a type …
effective manifold does not depend on the initial metric. More precisely, if there exists a type …
The modified K\" ahler-Ricci flow, II
We improve the understanding of both finite time and infinite time singularities of the
modified K\" ahler-Ricci flow as initiated by the second author of this paper in [26]. This is …
modified K\" ahler-Ricci flow as initiated by the second author of this paper in [26]. This is …
[图书][B] Problems on the geometric function theory in several complex variables and complex geometry
Y Yuan - 2010 - search.proquest.com
The thesis consists of two parts. In the first part, we study the rigidity for the local holomorphic
isometric embeddings. On the one hand, we prove the total geodesy for the local …
isometric embeddings. On the one hand, we prove the total geodesy for the local …