Homogeneous spin Riemannian manifolds with the simplest Dirac operator

DOI10.1515/advgeom-2018-0003zbMath1395.53059arXiv1504.05925OpenAlexW2963940136WikidataQ115237039 ScholiaQ115237039MaRDI QIDQ1653978

Jose A. Oubina, Pedro Martínez Gadea, José Carmelo González-Dávila

Publication date: 7 August 2018

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.05925

zbMATH Keywords

Dirac operatorhomogeneous (spin) Riemannian manifold

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Differential geometry of homogeneous manifolds (53C30) Spin and Spin({}^c) geometry (53C27) Differential geometry of symmetric spaces (53C35)

Related Items (4)

Cyclic homogeneous Riemannian manifolds ⋮ Positive curvature and symmetry in small dimensions ⋮ The kernel of the Rarita-Schwinger operator on Riemannian spin manifolds ⋮ Spin structures on compact homogeneous pseudo-Riemannian manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cyclic homogeneous Riemannian manifolds
• The Dirac operator on homogeneous spaces and its spectrum on 3- dimensional lens spaces
• Formally self adjointness for the Dirac operator on homogeneous spaces
• The Dirac operator on nilmanifolds and collapsing circle bundles
• Cyclic metric Lie groups
• Harmonicity and minimality of distributions on Riemannian manifolds via the intrinsic torsion
• Characteristic Classes and Homogeneous Spaces, I

This page was built for publication: Homogeneous spin Riemannian manifolds with the simplest Dirac operator