9 citations · 25 across the 15 of their papers we have counts for
15 papers
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…
On Some Applications of Group Representation Theory to Algebraic Problems Related to the Congruence Principle for Equivariant Maps
Zalman Balanov, Mikhail Muzychuk, Hao-pin Wu
Given a finite group and two unitary -representations and , possible restrictions on Brouwer degrees of equivariant maps between representation spheres and $S(…
Multiple Periodic Solutions for -symmetric Newtonian Systems
Mieczyslaw Dabkowski, Wieslaw Krawcewicz, Yanli Lv +1
The existence of periodic solutions in -symmetric Newtonian systems can be effectively studied by means of the -equivariant gradient degr…
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…
Bifurcation of space periodic solutions in symmetric reversible FDEs
Zalman Balanov, Haopin Wu
In this paper, we propose an equivariant degree based method to study bifurcation of periodic solutions (of constant period) in symmetric networks of reversible FDEs. Such a bifurc…
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…