The Hijazi inequalities on complete Riemannian \(\mathrm{Spin}^c\) manifolds

DOI10.1155/2011/471810zbMath1218.81050arXiv1101.4357OpenAlexW1481707792WikidataQ58654841 ScholiaQ58654841MaRDI QIDQ541164

Roger Nakad

Publication date: 6 June 2011

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.4357

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spin and Spin({}^c) geometry (53C27)

Cites Work

• Spectral bounds for Dirac operators on open manifolds
• Isometric immersions of hypersurfaces in 4-dimensional manifolds via spinors
• Lower bounds for the eigenvalues of the Dirac operator on Spin\(^c\) manifolds
• A conformal lower bound for the smallest eigenvalue of the Dirac operator and Killing spinors
• On the spinor representation of surfaces in Euclidean \(3\)-space
• Generalized Killing spinors and conformal eigenvalue estimates for \(\text{Spin}^c\) manifolds
• Refined Kato inequalities and conformal weights in Riemannian geometry
• Kato constants in Riemannian geometry
• Generalized cylinders in semi-Riemannian and spin geometry
• Zero sets of solutions to semilinear elliptic systems of first order
• Lower bounds for the eigenvalues of the Dirac operator on quaternionic Kähler spin manifolds
• The Einstein-Dirac equation on Riemannian spin manifolds
• THE ENERGY-MOMENTUM TENSOR ON Spin^c MANIFOLDS
• Der erste Eigenwert des Dirac‐Operators einer kompakten, Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung

This page was built for publication: The Hijazi inequalities on complete Riemannian \(\mathrm{Spin}^c\) manifolds