Eigenvalues of the Dirac Operator on Manifolds with Boundary
Oussama Hijazi, Sebastian Montiel, Xiao Zhang
Abstract
Under standard local boundary conditions or certain global APS boundary conditions, we get lower bounds for the eigenvalues of the Dirac operator on compact spin manifolds with boundary. Limiting cases are characterized by the existence of real Killing spinors and the minimality of the boundary.
Create a lesson
Related papers
Uniqueness of Ricci flows from singular initial data
Laura Flower, Man-Chun Lee, Felix Schulze
Generalised Killing Spinors and Euclidean Hypersurfaces
Samuel Forster, Marie-Amélie Lawn
Perelman's entropy and Gromov-Hausdorff versus dynamical stability of round spheres
Reto Buzano, Shengwen Wang
An ambient metric framework for sharp compactness of the constant Q2N-curvature problem
Liuwei Gong, Seunghyeok Kim, Juncheng Wei
Rigidity of Ricci solitons for φ-related metallic semi-Riemannian structures on para-Kenmotsu manifolds
Yasemin Karababa
On isotropic points and contact invariants of curves
Amanda Dias Falqueto, Juan J. Nuño Ballesteros, Raúl Oset Sinha