A new example of compact Riemannian manifold with structure group Spin(7)
Fernández, Marisa (1987)
Portugaliae mathematica
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Displaying similar documents to “Lorentzian manifolds with special holonomy and parallel spinors”
A new example of compact Riemannian manifold with structure group Spin(7)
Kähler manifolds with small eigenvalues of the Dirac operator and a conjecture of Lichnerowicz
Andrei Moroianu (1999)
Annales de l'institut Fourier
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We describe all compact spin Kähler manifolds of even complex dimension and positive scalar curvature with least possible first eigenvalue of the Dirac operator.
On the conformal relation between twistors and Killing spinors
Friedrich, Thomas
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[For the entire collection see Zbl 0699.00032.] The author considers the conformal relation between twistors and spinors on a Riemannian spin manifold of dimension . A first integral is constructed for a twistor spinor and various geometric properties of the spin manifold are deduced. The notions of a conformal deformation and a Killing spinor are considered and such a deformation of a twistor spinor into a Killing spinor and conditions for the equivalence of these quantities is indicated. ...
Spinor fields on Riemannian manifolds
Pokorná, Olga
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A spectral estimate for the Dirac operator on Riemannian flows
Nicolas Ginoux, Georges Habib (2010)
Open Mathematics
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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.