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Reilly type inequality for the first eigenvalue of the operator

✍ Scribed by He, Yijun

Book ID
120284183
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
208 KB
Volume
31
Category
Article
ISSN
0926-2245

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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.