326 citations
- Max Planck SocietyDE96 papers
- Max Planck Institute for Mathematics in the SciencesDE23 papers
- Capital Normal UniversityCN4 papers
- Centre National de la Recherche ScientifiqueFR3 papers
- Collège de FranceFR3 papers
- Northwestern UniversityUS3 papers
- Fudan UniversityCN2 papers
- Leipzig UniversityDE2 papers
- Princeton UniversityUS2 papers
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- University Hospital MagdeburgDE2 papers
- University of BonnDE2 papers
18 papers · 1 filter
Mean curvature flow via convex functions on Grassmannian manifolds
Y. L. Xin, Ling Yang
Using the convex functions in Grassmannian manifolds we can carry out interior estimates for mean curvature flow of higher codimension. In this way some of the results of Ecker-Hui…
A structure theorem of Dirac-harmonic maps between spheres
Ling Yang
For an arbitrary Dirac-harmonic map between compact oriented Riemannian surfaces, we shall study the zeros of . With the aid of Bochner-type formulas, we explore the r…
A nonholonomic Moser theorem and optimal transport
Boris Khesin, Paul Lee
We prove the following nonholonomic version of the classical Moser theorem: given a bracket-generating distribution on a connected compact manifold (possibly with boundary), two vo…
Metrics of constant curvature on a Riemann surface with two corners on the boundary
Juergen Jost, Guofang Wang, Chunqin Zhou
We use PDE methods as developed for the Liouville equation to study the existence of conformal metrics with prescribed singularities on surfaces with boundary, the boundary conditi…
Nonlinear Dirac equations on Riemann surfaces
Qun Chen, Juergen Jost, Guofang Wang
We develop analytical methods for nonlinear Dirac equations. Examples of such equations include Dirac-harmonic maps with curvature term and the equations describing the generalized…
Extremals for the Sobolev inequality on the seven dimensional quaternionic Heisenberg group and the quaternionic contact Yamabe problem
Stefan Ivanov, Ivan Minchev, Dimiter Vassilev
A complete solution to the quaternionic contact Yamabe problem on the seven dimensional sphere is given. Extremals for the Sobolev inequality on the seven dimensional Hesenberg gro…