9 citations · 25 across the 15 of their papers we have counts for
12 papers · 1 filter
The modified Kähler-Ricci flow, II
Haotian Wu, Zhou Zhang
We improve the understanding of both finite time and infinite time singularities of the modified Kähler-Ricci flow as initiated by the second author of this paper in [26]. This is…
The second Robin eigenvalue in non-compact rank-1 symmetric spaces
Xiaolong Li, Kui Wang, Haotian Wu
In this paper, we prove a quantitative spectral inequality for the second Robin eigenvalue in non-compact rank-1 symmetric spaces. In particular, this shows that for bounded domain…
A numerical stability analysis of mean curvature flow of noncompact hypersurfaces with Type-II curvature blowup
David Garfinkle, James Isenberg, Dan Knopf +1
We present a numerical study of the local stability of mean curvature flow of rotationally symmetric, complete noncompact hypersurfaces with Type-II curvature blowup. Our numerical…
An upper bound for the first nonzero Steklov eigenvalue
Xiaolong Li, Kui Wang, Haotian Wu
Let be a complete simply connected -dimensional Riemannian manifold with curvature bounds for and $\operatorname{Ric}_g\geq(n-1…
On the second Robin eigenvalue of the Laplacian
Xiaolong Li, Kui Wang, Haotian Wu
We study the Robin eigenvalue problem for the Laplace-Beltrami operator on Riemannian manifolds. Our first result is a comparison theorem for the second Robin eigenvalue on geodesi…
On the precise asymptotics of Type-IIb solutions to mean curvature flow
James Isenberg, Haotian Wu, Zhou Zhang
In this paper, we study the precise asymptotics of noncompact Type-IIb solutions to the mean curvature flow. Precisely, for each real number , we construct mean curvature flow…
Mean curvature flow of noncompact hypersurfaces with Type-II curvature blow-up. II
James Isenberg, Haotian Wu, Zhou Zhang
We continue the study, initiated by the first two authors in \cite{IW19}, of Type-II curvature blow-up in mean curvature flow of complete noncompact embedded hypersurfaces. In part…
Mean curvature flow of noncompact hypersurfaces with Type-II curvature blow-up
James Isenberg, Haotian Wu
We study the phenomenon of Type-II curvature blow-up in mean curvature flows of rotationally symmetric noncompact embedded hypersurfaces. Using analytic techniques based on formal…
Metrics with non-negative Ricci curvature on convex three-manifolds
Antonio Ache, Davi Maximo, Haotian Wu
We prove that the space of smooth Riemannian metrics on the three-ball with non-negative Ricci curvature and strictly convex boundary is path connected; and, moreover, that the ass…
Dynamical stability of algebraic Ricci solitons
Michael Bradford Williams, Haotian Wu
We consider dynamical stability for a modified Ricci flow equation whose stationary solutions include Einstein and Ricci soliton metrics. Our focus is on homogeneous metrics on non…
On type-II singularities in Ricci flow on
Haotian Wu
In each dimension and for each real number , we construct a family of complete rotationally symmetric solutions to Ricci flow on which encounter…
Stability of complex hyperbolic space under curvature-normalized Ricci flow
Haotian Wu
Using the maximal regularity theory for quasilinear parabolic systems, we prove two stability results of complex hyperbolic space under the curvature-normalized Ricci flow in compl…