Add to ORKGAbstract. In this paper, we derive gradient estimates for Dirac-harmonic maps from complete Riemannian spin manifolds into regular balls in Riemannian manifolds. With these estimates, we can prove Liouville theorems for Dirac-harmonic maps under curva-ture or energy conditions
We study Dirac-harmonic maps from degenerating spin surfaces with uniformly bounded energy and show ...
Derivative formulae for heat semigroups are used to give gradient estimates for harmonic functions o...
Let (X,d,μ) be a doubling metric measure space endowed with a Dirichlet form E deriving from a “carr...
Abstract. We study Dirac-harmonic maps from a Riemann surface to a sphere Sn. We show that a weakly ...
We prove a Liouville-type theorem for biharmonic maps from a complete Riemannian manifold of dimensi...
AbstractNonlinear versions of Bismut type formulas for the differential of a harmonic map between Ri...
AbstractFor any complete manifold with nonnegative Bakry–Emery's Ricci curvature, we prove the gradi...
Abstract Nonlinear versions of Bismut type formulas for the differential of a harmonic map between R...
We study Liouville theorems and gradient estimates for solutions of Eq. (1.1) with the help of a dif...
AbstractDerivative formulae for heat semigroups are used to give gradient estimates for harmonic fun...
In this note we discuss how several results characterizing the qualitative behavior of solutions to ...
We discuss a method to construct Dirac-harmonic maps developed by Jost et al. (J Geom Phys 59(11):15...
By using probabilistic approaches, Liouville theorems are proved for a class of Riemannian manifolds...
We prove existence results for Dirac-harmonic maps using index theoretical tools. They are mainly in...
The heat flowfor Dirac-harmonicmaps on Riemannian spin manifolds is a modification of the classical ...
We study Dirac-harmonic maps from degenerating spin surfaces with uniformly bounded energy and show ...
Derivative formulae for heat semigroups are used to give gradient estimates for harmonic functions o...
Let (X,d,μ) be a doubling metric measure space endowed with a Dirichlet form E deriving from a “carr...
Abstract. We study Dirac-harmonic maps from a Riemann surface to a sphere Sn. We show that a weakly ...
We prove a Liouville-type theorem for biharmonic maps from a complete Riemannian manifold of dimensi...
AbstractNonlinear versions of Bismut type formulas for the differential of a harmonic map between Ri...
AbstractFor any complete manifold with nonnegative Bakry–Emery's Ricci curvature, we prove the gradi...
Abstract Nonlinear versions of Bismut type formulas for the differential of a harmonic map between R...
We study Liouville theorems and gradient estimates for solutions of Eq. (1.1) with the help of a dif...
AbstractDerivative formulae for heat semigroups are used to give gradient estimates for harmonic fun...
In this note we discuss how several results characterizing the qualitative behavior of solutions to ...
We discuss a method to construct Dirac-harmonic maps developed by Jost et al. (J Geom Phys 59(11):15...
By using probabilistic approaches, Liouville theorems are proved for a class of Riemannian manifolds...
We prove existence results for Dirac-harmonic maps using index theoretical tools. They are mainly in...
The heat flowfor Dirac-harmonicmaps on Riemannian spin manifolds is a modification of the classical ...
We study Dirac-harmonic maps from degenerating spin surfaces with uniformly bounded energy and show ...
Derivative formulae for heat semigroups are used to give gradient estimates for harmonic functions o...
Let (X,d,μ) be a doubling metric measure space endowed with a Dirichlet form E deriving from a “carr...