5 citations · 5 across the 6 of their papers we have counts for
4 papers · 1 filter
Dirac-Harmonic Maps
Qun Chen, Juergen Jost, Jiayu Li +1
We introduce a functional that couples the nonlinear sigma model with a spinor field: $L=\int_M[|dϕ|^2+(ψ,\Dψ)]$. In two dimensions, it is conformally invariant. The critical point…
Heat flow for horizontal harmonic maps into a class of Carnot-Caratheodory spaces
Juergen Jost, Yihu Yang
We deform a map into a Riemannian manifold that is horizontal with respect to a submersion onto a non-positively curved manifold and satisfies a Chow condition into a harmonic one…
Kähler manifolds and fundamental groups of negatively -pinched manifolds
Juergen Jost, Yihu Yang
The fundamental group of a Riemannian manifold with -pinched negative curvature, , cannot be the fundamental group of a quasicompact Kähler manifold. The proof also impli…
Some aspects of the global geometry of entire space-like submanifolds
Juergen Jost, Yuan-Long Xin
We prove some Bernstein theorems for entire space-like submanifolds in pseudo-Euclidean spaces and, as a corollary, we obtain a new proof of the Calabi-Pogorelov theorem on global…