THE FIRST EIGENVALUE OF THE DIRAC OPERATOR IN A CONFORMAL CLASS
نویسندگان
چکیده
منابع مشابه
The first conformal Dirac eigenvalue on 2-dimensional tori
Let M be a compact manifold with a spin structure χ and a Riemannian metric g. Let λ2g be the smallest eigenvalue of the square of the Dirac operator with respect to g and χ. The τ -invariant is defined as τ(M,χ) := sup inf q λ2gVol(M, g) 1/n where the supremum runs over the set of all conformal classes on M , and where the infimum runs over all metrics in the given class. We show that τ(T , χ)...
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ژورنال
عنوان ژورنال: International Journal of Geometric Methods in Modern Physics
سال: 2006
ISSN: 0219-8878,1793-6977
DOI: 10.1142/s0219887806001533