Book review of: J.-P. Bourguignon et al., A spinorial approach to Riemannian and conformal geometry
DOI10.1365/s13291-015-0124-zzbMath1360.00031OpenAlexW1930116614WikidataQ115238637 ScholiaQ115238637MaRDI QIDQ5890579
Publication date: 14 April 2016
Published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1365/s13291-015-0124-z
Pseudodifferential operators as generalizations of partial differential operators (35S05) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Spin and Spin({}^c) geometry (53C27) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) External book reviews (00A17)
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Cites Work
- Spin manifolds, Killing spinors and universality of the Hijazi inequality
- 7-dimensional compact Riemannian manifolds with Killing spinors
- The first eigenvalue of the Dirac operator on Kähler manifolds
- Complete Riemannian manifolds with imaginary Killing spinors
- Six-dimensional Riemannian manifolds with a real Killing spinor
- Odd-dimensional Riemannian manifolds with imaginary Killing spinors
- A conformal lower bound for the smallest eigenvalue of the Dirac operator and Killing spinors
- An estimation for the first eigenvalue of the Dirac operator on closed Kähler manifolds of positive scalar curvature
- Einstein manifolds of dimension five with small first eigenvalue of the Dirac operator
- Harmonic spinors
- Real Killing spinors and holonomy
- Dirac operator and the discrete series
- Der erste Eigenwert des Dirac‐Operators einer kompakten, Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung
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