Branson’s Q-curvature in Spin Geometry

نویسندگان

  • Oussama Hijazi
  • Tom Branson
چکیده

Abstract. We first give an elementary proof of a result relating the eigenvalues of the Dirac operator to Branson’s Q-curvature on 4-dimensional spin compact manifolds. In the case of n-dimensional closed compact (spin) manifolds we then use the conformal covariance of the Dirac, Yamabe and Branson-Paneitz operators to compare appropriate powers of their first eigenvalues. Equality cases are also characterized.

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تاریخ انتشار 2008