Homotopy classes of harmonic maps of the stratified 2-spheres and applications to geometric flows
From MaRDI portal
Publication:2509964
DOI10.1016/j.aim.2014.07.001zbMath1303.58005arXiv1311.3022OpenAlexW2964213905MaRDI QIDQ2509964
Publication date: 31 July 2014
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.3022
Related Items
The qualitative behavior for approximate Dirac-harmonic maps into stationary Lorentzian manifolds ⋮ Critical \(O(d)\)-equivariant biharmonic maps ⋮ Bubble tree convergence for conformal metrics with \(\int_M | R |^{\frac{n}{2}}\, d V_g\) bounds ⋮ On the finite time blow-up of biharmonic map flow in dimension four ⋮ Conformal metric sequences with integral-bounded scalar curvature ⋮ Finite time blowup of the \(n\)-harmonic flow on \(n\)-manifolds ⋮ Energy identity for a class of approximate Dirac-harmonic maps from surfaces with boundary ⋮ Heat flow of Yang-Mills-Higgs functionals in dimension two ⋮ Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps ⋮ An Hélein’s type convergence theorem for conformal immersions from 𝕊² to manifold
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bubble tree convergence for harmonic maps
- Flow by mean curvature of convex surfaces into spheres
- On the evolution of harmonic mappings of Riemannian surfaces
- Blow-up and global existence for heat flows of harmonic maps
- The existence of minimal immersions of 2-spheres
- Finite-time blow-up of the heat flow of harmonic maps from surfaces
- Pseudo-holomorphic maps and bubble trees
- Compactification of moduli space of harmonic mappings
- Minimization of conformally invariant energies in homotopy classes
- Regularity theory for mean curvature flow
- Minimizing area among Lagrangian surfaces: the mapping problem.
- Winding behaviour of finite-time singularities of the harmonic map heat flow
- On singularities of the heat flow for harmonic maps from surfaces into spheres
- Energy identity for a class of approximate harmonic maps from surfaces
- Finite time singularities for Lagrangian mean curvature flow
- A weak energy identity and the length of necks for a sequence of Sacks-Uhlenbeck \(\alpha \)-harmonic maps
- Bubble tree of branched conformal immersions and applications to the Willmore functional
- Bubbling of the heat flows for harmonic maps from surfaces
- Harmonic Mappings of Riemannian Manifolds