Dirac eigenvalues and total scalar curvature

JOURNAL OF GEOMETRY AND PHYSICS

卷:33

Article

Ammann, B ; Bär, C

关键词: eigenvalues of the Dirac operator;    total scalar curvature;    Pinocchio metric;   

DOI  :  10.1016/S0393-0440(99)00050-9

来源: Elsevier

【 摘 要 】

It has recently been conjectured that the eigenvalues lambda of the Dirac operator on a closed Riemannian spin manifold M of dimension n greater than or equal to 3 can be estimated from below by the total scalar curvature: lambda(2) greater than or equal to n <(4(n - 1))over bar> . integral(M)(S) <(vol (M))over bar> . We show by example that such an estimate is impossible. (C) 2000 Elsevier Science B.V. All rights reserved.

【 授权许可】

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