Eigenvalue Estimates of the spinc Dirac Operator and Harmonic Forms on Kähler-Einstein Manifolds

We establish a lower bound for the eigenvalues of the Dirac operator defined on a compact Kähler-Einstein manifold of positive scalar curvature and endowed with particular spinc structures. The limiting case is characterized by the existence of Kählerian Killing spinc spinors in a certain subbundle...

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Datum:2015
Hauptverfasser: Nakad, R., Pilca, M.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2015
Schriftenreihe:Symmetry, Integrability and Geometry: Methods and Applications
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Eigenvalue Estimates of the spinc Dirac Operator and Harmonic Forms on Kähler-Einstein Manifolds / R. Nakad, M. Pilca // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 39 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine