Eigenvalues of the Kahlerian Dirac operator

Authors
Bordoni, M Hijazi, O
Citation
M. Bordoni et O. Hijazi, Eigenvalues of the Kahlerian Dirac operator, LETT MATH P, 58(1), 2001, pp. 7-20
Citations number
12
Categorie Soggetti
Physics
Journal title
LETTERS IN MATHEMATICAL PHYSICS
ISSN journal
03779017 → ACNP
Volume
58
Issue
1
Year of publication
2001
Pages
7 - 20
Database
ISI
SICI code
0377-9017(2001)58:1<7:EOTKDO>2.0.ZU;2-S
Abstract
We get estimates on the eigenvalues of the Kahlerian Dirac operator in term s of the eigenvalues of the scalar Laplace-Beltrami operator. In odd comple x dimension, these estimates are sharp, in the sense that, for the first ei genvalue, they reduce to Kirchberg's inequality.