Displaying similar documents to “A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds (Summary).”

Some progress in conformal geometry.

Chang, Sun-Yung A., Qing, Jie, Yang, Paul (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]


The second Yamabe invariant with singularities

Mohammed Benalili, Hichem Boughazi (2012)

Annales mathématiques Blaise Pascal


Let ( M , g ) be a compact Riemannian manifold of dimension n 3 .We suppose that g is a metric in the Sobolev space H 2 p ( M , T * M T * M ) with p > n 2 and there exist a point P M and δ > 0 such that g is smooth in the ball B p ( δ ) . We define the second Yamabe invariant with singularities as the infimum of the second eigenvalue of the singular Yamabe operator over a generalized class of conformal metrics to g and of volume 1 . We show that this operator is attained by a generalized metric, we deduce nodal solutions to a Yamabe type equation...