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Lower bounds for the eigenvalues of the basic Dirac operator on a Riemannian foliation

✍ Scribed by Seoung Dal Jung; Byung Hak Kim; Jin Suk Pak


Book ID
108137648
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
158 KB
Volume
51
Category
Article
ISSN
0393-0440

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Lower bounds for the eigenvalue of the t
✍ Seoung Dal Jung; Tae Ho Kang πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 140 KB

On a foliated Riemannian manifold with a KΓ€hler spin foliation, 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 of odd complex dimension with nonnegative constant tra