A spinorial analogue of Aubin’s inequality
نویسندگان
چکیده
منابع مشابه
A Spinorial Analogue of Aubin’s Inequality
Let (M,g, σ) be a compact Riemannian spin manifold of dimension ≥ 7. We show that if (M,g) is not conformally flat, then there is a metric g̃ conformal to g such that the first positive eigenvalue λ̃ of the Dirac operator on (M, g̃, σ) satisfies λ̃ Vol(M, g̃) < (n/2) Vol(S). It follows from this inequality that the infimum of the first positive Dirac eigenvalue is attained in the conformal class of ...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2007
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-007-0266-5