most citedExtrinsic eigenvalue estimates of the Dirac operator

4 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math.DG2007

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…

math.DG2007★ 4 cited

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…

math.DG2004

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…