We show how a rigidity estimate introduced in recent work of Bernand-Mantel, Muratov and Simon can be derived using the harmonic map flow. The estimate controls how far a degree one map between 2-spheres can be from a Möbius map in terms of its energy, irrespective of whether or not the map has small tension
In this paper we consider approximations `a la Sacks-Uhlenbeck of the harmonic energy for maps from ...
We construct finite time blow-up solutions to the 2-dimensional harmonic map flow into the sphere $S...
The Teichmüller harmonic map flow is a gradient flow for the harmonic map energy of maps from a clos...
We establish various uniformity properties of the harmonic map heat flow, including uniform converge...
In 1981, Sacks and Uhlenbeck introduced their famous $\alpha$-energy as a way to approximate the Dir...
Motivated by the Lipschitz rigidity problem in scalar curvature geometry, we prove that if a closed ...
A Lojasiewicz-type estimate is a powerful tool in studying the rigidity properties of the harmonic m...
We study m-corotational solutions to the Harmonic Map Heat Flow from R2 to S2. We first consider map...
Critical points of approximations of the Dirichlet energy à la Sacks-Uhlenbeck are known to converge...
We analyse finite-time singularities of the Teichmüller harmonic map flow — a natural gradient flow ...
In this thesis we study two problems related to the Teichm�uller harmonic map flow, a flow introduce...
We present an analysis of bounded-energy low-tension maps between 2-spheres. By deriving sharp estim...
We study singularity formation for the harmonic map flow from a two dimensional domain into the sphe...
We study singularity formation for the harmonic map flow from a two dimensional domain into the sphe...
The harmonic map energy of a map from a closed, constant-curvature surface to a closed target manifo...
In this paper we consider approximations `a la Sacks-Uhlenbeck of the harmonic energy for maps from ...
We construct finite time blow-up solutions to the 2-dimensional harmonic map flow into the sphere $S...
The Teichmüller harmonic map flow is a gradient flow for the harmonic map energy of maps from a clos...
We establish various uniformity properties of the harmonic map heat flow, including uniform converge...
In 1981, Sacks and Uhlenbeck introduced their famous $\alpha$-energy as a way to approximate the Dir...
Motivated by the Lipschitz rigidity problem in scalar curvature geometry, we prove that if a closed ...
A Lojasiewicz-type estimate is a powerful tool in studying the rigidity properties of the harmonic m...
We study m-corotational solutions to the Harmonic Map Heat Flow from R2 to S2. We first consider map...
Critical points of approximations of the Dirichlet energy à la Sacks-Uhlenbeck are known to converge...
We analyse finite-time singularities of the Teichmüller harmonic map flow — a natural gradient flow ...
In this thesis we study two problems related to the Teichm�uller harmonic map flow, a flow introduce...
We present an analysis of bounded-energy low-tension maps between 2-spheres. By deriving sharp estim...
We study singularity formation for the harmonic map flow from a two dimensional domain into the sphe...
We study singularity formation for the harmonic map flow from a two dimensional domain into the sphe...
The harmonic map energy of a map from a closed, constant-curvature surface to a closed target manifo...
In this paper we consider approximations `a la Sacks-Uhlenbeck of the harmonic energy for maps from ...
We construct finite time blow-up solutions to the 2-dimensional harmonic map flow into the sphere $S...
The Teichmüller harmonic map flow is a gradient flow for the harmonic map energy of maps from a clos...
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