On the spectrum of the Dirac operator under boundary conditions

DOI10.1016/S0393-0440(98)00013-8zbMath0934.58028OpenAlexW2071075344WikidataQ127845916 ScholiaQ127845916MaRDI QIDQ1299349

V. Pereyra

Publication date: 9 April 2000

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0393-0440(98)00013-8

zbMATH Keywords

spectrumDirac operatorLichnerowicz formulaAtiyah-Patodi-Singer boundary conditionspectral boundary condition

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (12)

A boundary value problem for the nonlinear Dirac equation on compact spin manifold ⋮ Eigenvalue estimates for the Dirac operator with generalized APS boundary condition ⋮ Dirac cohomology on manifolds with boundary and spectral lower bounds ⋮ A spinorial quasilocal mass ⋮ The maximum principle and the Dirichlet problem for Dirac-harmonic maps ⋮ The boundary value problem for Dirac-harmonic maps ⋮ Modular forms in the spectral action of Bianchi IX gravitational instantons ⋮ Quasi-local energy-momentum and angular momentum in general relativity ⋮ Eigenvalue estimate of the Dirac operator and rigidity of Poincaré-Einstein metrics ⋮ On a spin conformal invariant on manifolds with boundary ⋮ Inverse problems and index formulae for Dirac operators ⋮ Conformal Dirac-Einstein equations on manifolds with boundary.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Semigroups of linear operators and applications to partial differential equations
• Functional calculus of pseudo-differential boundary problems
• Perturbation theory for linear operators.
• Yang-Mills and Dirac fields in a bag, existence and uniqueness theorems
• Hodge decomposition. A method for solving boundary value problems
• Pseudo-differential operators and non-elliptic boundary problems
• Boundary problems for pseudo-differential operators
• Singular Integrals and Boundary Value Problems

This page was built for publication: On the spectrum of the Dirac operator under boundary conditions