A characterization of Dirac morphisms

DOI10.1007/s00220-008-0713-0zbMath1190.53064arXiv0805.0591OpenAlexW3102494157MaRDI QIDQ842488

Eric Loubeau, Radu Slobodeanu

Publication date: 25 September 2009

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

Full work available at URL: https://arxiv.org/abs/0805.0591

zbMATH Keywords

Dirac operatorsspin manifoldshorizontally conformal maps

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Differential geometric aspects of harmonic maps (53C43)

Cites Work

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• A mapping of Riemannian manifolds which preserves harmonic functions
• Transversal Dirac families in Riemannian foliations
• Spineurs, opérateurs de Dirac et variations de métriques. (Spinors, Dirac operators and variations of the metrics)
• Harmonic morphisms between Riemannian manifolds
• Generalized cylinders in semi-Riemannian and spin geometry
• The first eigenvalue of the Dirac operator on compact Kähler manifolds
• η-Invariants and Their Adiabatic Limits

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