## 343 Citations

Convergence of Hermitian manifolds and the Type IIB flow

- Mathematics
- 2021

The Type IIB flow is a flow of conformally balanced complex manifolds introduced by Phong, Picard, and Zhang, about whose singularities little is as yet known. We formulate convergence criteria for…

Cheeger-Gromov compactness for manifolds with boundary

- Mathematics
- 2018

We prove Cheeger-Gromov convergence for a subsequence of a given sequence of manifolds (with boundary) of bounded geometry.

Uniqueness of Ricci Flow Solution on Non-compact Manifolds and Integral Scalar Curvature Bound

- Mathematics
- 2014

of the Dissertation Uniqueness of Ricci Flow Solution on Non-compact Manifolds and Integral Scalar Curvature Bound

A note on singular time of mean curvature flow

- Mathematics
- 2010

We show that mean curvature flow of a compact submanifold in a complete Riemannian manifold cannot form singularity at time infinity if the ambient Riemannian manifold has bounded geometry and…

Expanding solitons with non-negative curvature operator coming out of cones

- Mathematics
- 2010

We consider Ricci flow of complete Riemannian manifolds which have bounded non-negative curvature operator, non-zero asymptotic volume ratio and no boundary. We prove scale invariant estimates for…

Ricci flow compactness via pseudolocality, and flows with incomplete initial metrics

- Mathematics
- 2010

By exploiting Perelman's pseudolocality theorem, we prove a new compactness theorem for Ricci flows. By optimising the theory in the two-dimensional case, and invoking the theory of quasiconformal…

Generalized Ricci flow I: Higher derivatives estimates for compact manifolds

- Mathematics
- 2009

We consider a generalized Ricci flow with a given (not necessarily closed) three-form and establish the higher derivatives estimates for compact manifolds. As an application, we prove the compactness…

On long-time existence for the flow of static metrics with rotational symmetry

- Mathematics
- 2009

B List has proposed a geometric flow whose fixed points correspond to solutions of the static Einstein equations of general relativity. This flow is now known to be a certain Hamilton-DeTurck flow…

On the simply connectedness of non-negatively curved K\

- Mathematics
- 2008

We study complete noncompact long time solutions $(M, g(t))$ to the K\"ahler-Ricci flow with uniformly bounded nonnegative holomorphic bisectional curvature. We will show that when the Ricci…

The Calabi flow on toric Fano surface

- Mathematics
- 2008

We prove the longtime existence and convergence of the Calabi flow on toric Fano surfaces in a large family of Kahler classes where the class has positive extremal Hamiltonian potential and the…