Connections on naturally reductive spaces and their Dirac operators

DOI10.1016/S1631-073X(02)02438-XzbMath1010.53024WikidataQ115156414 ScholiaQ115156414MaRDI QIDQ1608678

Ilka Agricola

Publication date: 5 May 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

homogeneous spacestring theoryconnectionscubic Dirac operator

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Connections (general theory) (53C05)

Related Items (1)

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Cites Work

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• Imbeddings of Stiefel manifolds into Grassmannians
• A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups
• Dirac operator and the discrete series
• ON DIFFERENTIAL GEOMETRY AND HOMOGENEOUS SPACES. II
• The Dirac Operator on Homogeneous Spaces and Representations of Reductive Lie Groups I
• The Weyl character formula, the half-spin representations, and equal rank subgroups

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