The Dolbeault operator on hermitian spin surfaces

Authors
Alexandrov, B Grantcharov, G Ivanov, S
Citation
B. Alexandrov et al., The Dolbeault operator on hermitian spin surfaces, ANN I FOUR, 51(1), 2001, pp. 221
Citations number
21
Categorie Soggetti
Mathematics
Journal title
ANNALES DE L INSTITUT FOURIER
ISSN journal
03730956 → ACNP
Volume
51
Issue
1
Year of publication
2001
Database
ISI
SICI code
0373-0956(2001)51:1<221:TDOOHS>2.0.ZU;2-A
Abstract
We prove the vanishing of the kernel of the Dolbeault operator of the squar e root of the canonical line bundle of a compact Hermitian spin surface wit h positive scalar curvature. We give lower estimates of the eigenvalues of this operator when the conformal scalar curvature is non-negative.