Preprint 50/2006

σk-scalar curvature and eigenvalues of the Dirac operator

Guofang Wang

Contact the author: Please use for correspondence this email.
Submission date: 17. May. 2006
Pages: 9
published in: Annals of global analysis and geometry, 30 (2006) 1, p. 65-71 
DOI number (of the published article): 10.1007/s10455-006-9022-z
Bibtex
MSC-Numbers: 53C21, 53C27
Keywords and phrases: $\sigma_k$ scalar curvature, dirac operator, eigenvalue
Download full preprint: PDF (147 kB)

Abstract:
On a 4-dimensional closed spin manifold formula15, the eigenvalues of the Dirac operator can be estimated from below by the total formula17-scalar curvature of formula19 as follows
displaymath11
Equality implies that formula15 is a round sphere and the corresponding eigenspinors are Killing spinors.

23.06.2018, 02:11