4 papers · 1 filter
A Singularity Theorem for Twistor Spinors
Florin Belgun, Nicolas Ginoux, Hans-Bert Rademacher
We study spin structures on orbifolds. In particular, we show that if the singular set has codimension greater than 2, an orbifold is spin if and only if its smooth part is. On com…
Remarks on the spectrum of the Dirac operator
Nicolas Ginoux
We describe a new family of examples of hypersurfaces in the sphere satisfying the limiting-case in C. Bär's extrinsic upper bound for the smallest eigenvalue of the Dirac operator…
A new extrinsic estimate for the spectrum of the Dirac operator
Nicolas Ginoux
We prove a new upper bound for the smallest eigenvalues of the Dirac operator on a compact hypersurface of the hyperbolic space.
On eigenvalue estimates for the Dirac operator
N. Ginoux, B. Morel
We give lower bounds for the eigenvalues of the submanifold Dirac operator in terms of intrinsic and extrinsic curvature expressions. We also show that the limiting cases give rise…