927 citations
- Australian Mathematical Sciences InstituteAU17 papers
- Centre for Ultrahigh Bandwidth Devices for Optical SystemsAU16 papers
- Mount Stromlo ObservatoryAU10 papers
- Institute for Physics of MicrostructuresRU8 papers
- The University of AdelaideAU8 papers
- California Institute of TechnologyUS7 papers
- Centre National de la Recherche ScientifiqueFR6 papers
- European Southern ObservatoryCL6 papers
- Joint Institute for Nuclear AstrophysicsUS6 papers
- Massachusetts Institute of TechnologyUS6 papers
- Michigan State UniversityUS6 papers
- National Astronomical Observatory of JapanJP6 papers
8 papers · 1 filter
Stability of mean convex cones under mean curvature flow
Julie Clutterbuck, Oliver C. Schnürer
We consider graphical solutions to mean curvature flow and obtain a stability result for homothetically expanding solutions coming out of cones of positive mean curvature: If anoth…
Interior Gradient Estimates for Anisotropic Mean Curvature Flow
Julie Clutterbuck
In this paper we consider the evolution of a graph-like hypersurface by anisotropic mean curvature flow, under some restrictions on the anisotropic area integrand. We find interior…
Boundary regularity for the Monge-Ampere and affine maximal surface equations
Neil S. Trudinger, Xu-Jia Wang
In this paper, we prove global second derivative estimates for solutions of the Dirichlet problem for the Monge-Ampere equation when the inhomogeneous term is only assumed to be Ho…
On Harnack inequalities and singularities of admissible metrics in the Yamabe problem
Neil S. Trudinger, Xu-Jia Wang
In this paper we study the local behaviour of admissible metrics in the k-Yamabe problem on compact Riemannian manifolds of dimension . For , we prove…
On the relationship of gerbes to the odd families index theorem
Alan L. Carey, Bai-Ling Wang
The goal of this paper is to apply the universal gerbe of \cite{CMi1} and \cite{CMi2} to give an alternative, simple and more unified view of the relationship between index theory…
L^2 torsion without the determinant class condition and extended L^2 cohomology
M. Braverman, A. Carey, M. Farber +1
We associate determinant lines to objects of the extended abelian category built out of a von Neumann category with a trace. Using this we suggest constructions of the combinatoria…