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The first eigenvalue of the transversal Dirac operator

✍ Scribed by Seoung Dal Jung

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 108 KB
Volume: 39
Category: Article
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(01)00014-6

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✦ Synopsis

On a foliated Riemannian manifold with a transverse spin structure, we give a lower bound for the square of the eigenvalues of the transversal Dirac operator. We prove, in the limiting case, that the foliation is a minimal, transversally Einsteinian with constant transversal scalar curvature.

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