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The boundary value problem for Dirac-harmonic maps

Qun Chen, Jürgen Jost, Guofang Wang, Miaomiao Zhu (2013)

Journal of the European Mathematical Society

Dirac-harmonic maps are a mathematical version (with commuting variables only) of the solutions of the field equations of the non-linear supersymmetric sigma model of quantum field theory. We explain this structure, including the appropriate boundary conditions, in a geometric framework. The main results of our paper are concerned with the analytic regularity theory of such Dirac-harmonic maps. We study Dirac-harmonic maps from a Riemannian surface to an arbitrary compact Riemannian manifold. We...

The evolution of the scalar curvature of a surface to a prescribed function

Paul Baird, Ali Fardoun, Rachid Regbaoui (2004)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

We investigate the gradient flow associated to the prescribed scalar curvature problem on compact riemannian surfaces. We prove the global existence and the convergence at infinity of this flow under sufficient conditions on the prescribed function, which we suppose just continuous. In particular, this gives a uniform approach to solve the prescribed scalar curvature problem for general compact surfaces.

Displaying 1 – 8 of 8

The boundary value problem for Dirac-harmonic maps

The evolution of the scalar curvature of a surface to a prescribed function

The geometry of pseudo harmonic morphisms.

The Gluck and Ziller problem with the euclidean metric

The Nonlinear Connections and Harmonicity.

Torsion, curvature and deflection $d$ -tensors on $J^{1} (T, M)$ .

Twisteurs et applications harmoniques en dimension 4

Twistor fibrations giving primitive harmonic maps of finite type.

Currently displaying 1 – 8 of 8