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Vanishing theorem for transverse Dirac operators on Riemannian foliations

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Abstract

We obtain a vanishing theorem for the half-kernel of a transverse Spinc Dirac operator on a compact manifold endowed with a transversely almost complex Riemannian foliation twisted by a sufficiently large power of a line bundle, whose curvature vanishes along the leaves and is transversely non-degenerate at any point of the ambient manifold.

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Authors and Affiliations

  1. Institute of Mathematics, Russian Academy of Sciences, 112 Chernyshevsky street, 450077, Ufa, Russia

    Yuri A. Kordyukov

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  1. Yuri A. Kordyukov
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Correspondence to Yuri A. Kordyukov.

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Kordyukov, Y.A. Vanishing theorem for transverse Dirac operators on Riemannian foliations. Ann Glob Anal Geom 34, 195–211 (2008). https://doi.org/10.1007/s10455-008-9103-2

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  • DOI: https://doi.org/10.1007/s10455-008-9103-2

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