A spectral estimate for the Dirac operator on Riemannian flows

• Autorzy: Nicolas Ginoux , Georges Habib
• Języki publikacji: EN

Abstrakty

EN

We give a new upper bound for the smallest eigenvalues of the Dirac operator on a Riemannian flow carrying transversal Killing spinors. We derive an estimate on both Sasakian and 3-dimensional manifolds, and partially classify those satisfying the limiting case. Finally, we compare our estimate with a lower bound in terms of a natural tensor depending on the eigenspinor.

Słowa kluczowe

EN

Foliations; Sasakian manifolds; Spin geometry; Spectral geometry; Estimation of eigenvalues - upper and lower bounds

Kategorie tematyczne

• 58J50: Spectral problems; spectral geometry; scattering theory
• 53C12: Foliations (differential geometric aspects)
• 35P15: Estimation of eigenvalues, upper and lower bounds
• 53C27: Spin and Spin c geometry
• 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2010
• Tom: 8
• Numer: 5
• Strony: 950-965

Daty

wydano

2010-10-01

online

2010-09-28

Twórcy

autor

Nicolas Ginoux

• Universität Regensburg

autor

Georges Habib

• Lebanese University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-010-0060-1