Hermitian spin surfaces with small eigenvalues of the Dolbeault operator
نویسندگان
چکیده
منابع مشابه
F eb 1 99 9 The Dolbeault operator on Hermitian spin surfaces
We consider the Dolbeault operator √ 2(∂ + ∂ *) of K 1 2 – the square root of the canon-ical line bundle which determines the spin structure of a compact Hermitian spin surface (M, g, J). We prove that all cohomology groups H 1 2)) vanish if the scalar curvature of g is non-negative and non-identically zero. Moreover, we estimate the first eigenvalue of the Dolbeault operator when the conformal...
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 2004
ISSN: 0373-0956
DOI: 10.5802/aif.2085