σk-Scalar curvature and eigenvalues of the Dirac operator
نویسندگان
چکیده
منابع مشابه
σk-SCALAR CURVATURE AND EIGENVALUES OF THE DIRAC OPERATOR
On a 4-dimensional closed spin manifold (M, g), the eigenvalues of the Dirac operator can be estimated from below by the total σ2-scalar curvature of M 4 as follows λ 4 ≥ 32 3 R M4 σ2(g)dvol(g) vol(M, g) . Equality implies that (M, g) is a round sphere and the corresponding eigenspinors are Killing spinors. Dedicated to Professor Wang Guangyin on the occasion of his 80th birthday
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ژورنال
عنوان ژورنال: Annals of Global Analysis and Geometry
سال: 2006
ISSN: 0232-704X,1572-9060
DOI: 10.1007/s10455-006-9022-z