Lower bounds for the eigenvalues of the \(\operatorname{Spin}^c\) Dirac operator on manifolds with boundary
type: Item
instance of: scholarly article
title: Lower bounds for the eigenvalues of the \(\operatorname{Spin}^c\) Dirac operator on manifolds with boundary
zbMATH Open document ID: 1387.58010
author: Roger Nakad
author: Julien Roth
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2018-02-07T00:00:00Z
Mathematics Subject Classification ID: 58C40
Mathematics Subject Classification ID: 53C27
zbMATH DE Number: 6835361
MaRDI profile type: Publication
full work available at URL: j.crma.2015.12.017
OpenAlex ID: W2265257305
cites work: Spectral asymmetry and Riemannian geometry. III
cites work: Eigenvalue estimates for the Dirac operator with generalized APS boundary condition
cites work: Der erste Eigenwert des Dirac‐Operators einer kompakten, Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung
cites work: Q4505127
cites work: Complex generalized Killing spinors on Riemannian \(\mathrm{Spin}^c\) manifolds
cites work: Generalized Killing spinors and conformal eigenvalue estimates for \(\text{Spin}^c\) manifolds
cites work: Eigenvalues of the Dirac operator on manifolds with boundary
cites work: Eigenvalue boundary problems for the Dirac operator
cites work: Unicity of constant mean curvature hypersurfaces in some riemannian manifolds
cites work: Hypersurfaces of \(\mathrm{Spin}^{c}\) manifolds and Lawson type correspondence
cites work: The \(\mathrm{Spin}^c\) Dirac operator on hypersurfaces and applications
cites work: Optimal eigenvalues estimate for the Dirac operator on domains with boundary
cites work: Compact minimal surfaces in the Berger spheres
DOI: 10.1016/J.CRMA.2015.12.017
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description: scientific article; zbMATH DE number 6835361