An estimate for the first eigenvalue of the Dirac operator on compact Riemannian spin manifold admitting parallel one-form

DOI10.1016/S0393-0440(97)00080-6zbMath0934.58026WikidataQ115338795 ScholiaQ115338795MaRDI QIDQ1299157

Gueo Grantcharov, Stefan Ivanov, Bogdan Alexandrov

Publication date: 9 April 2000

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

EinsteinKilling spinortwistor operatorLichnerowicz formula

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items

Eigenvalue estimates for the Dirac operator and harmonic 1-forms of constant length, Twistor spinors and quasi-twistor spinors, The Dirac operator on manifold admitting parallel one-form, The first eigenvalue of the Dirac operator on locally reducible Riemannian manifolds, Lower bounds for the eigenvalue estimates of the submanifold Dirac operator, Twistorial eigenvalue estimates for generalized Dirac operators with torsion, The Dirac operator on locally reducible Riemannian manifolds, On the Dirac spectrum of Riemannian foliations admitting a basic parallel 1-form, Eigenvalue estimate for the Dirac-Witten operator on locally reducible Riemannian manifolds, Weyl structures with positive Ricci tensor., Rigidity results for spin manifolds with foliated boundary, A spectral estimate for the Dirac operator on Riemannian flows, Lower bounds for the first eigenvalue of the Dirac operator on compact Riemannian manifolds, Eigenvalue estimates for Dirac operators with parallel characteristic torsion, Geometric aspects of transversal Killing spinors on Riemannian flows, TRANSVERSAL KILLING AND TWISTOR SPINORS ASSOCIATED TO THE BASIC DIRAC OPERATORS

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