29 citations · 36 across the 7 of their papers we have counts for
7 papers
Extrinsic eigenvalue estimates for Dirac operator
Qun Chen, Linlin Sun
In this note, we prove lower and upper bounds for Dirac operators of submanifolds in certain ambient manifolds in terms of conformal and extrinsic quantities.
Estimates for solutions of Dirac equations and an application to a geometric elliptic-parabolic problem
Qun Chen, Jürgen Jost, Linlin Sun +1
We develop estimates for the solutions and derive existence and uniqueness results of various local boundary value problems for Dirac equations that improve all relevant results kn…
Liouville Theorems for Dirac-Harmonic Maps
Qun Chen, Juergen Jost, Guofang Wang
We prove Liouville theorems for Dirac-harmonic maps from the Euclidean space , the hyperbolic space $\H^n$ and a Riemannian manifold () with the Sch…
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…
Extrinsic eigenvalue estimates of the Dirac operator
Daguang Chen
For a compact spin manifold isometrically embedded into Euclidean space, we derive the extrinsic estimates from above and below for eigenvalues of the Dirac operators, which de…
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…