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math.DG2014★ 51 cited
Sign of Green's function of Paneitz operators and the Q curvature
Fengbo Hang, Paul C. Yang
In a conformal class of metrics with positive Yamabe invariant, we derive a necessary and sufficient condition for the existence of metrics with positive Q curvature. The condition…
math.DG2014★ 3 cited
Umbilicity and characterization of Pansu spheres in the Heisenberg group
Jih-Hsin Cheng, Hung-Lin Chiu, Jenn-Fang Hwang +1
For we define a notion of umbilicity for hypersurfaces in the Heisenberg group . We classify umbilic hypersurfaces in some cases, and prove that Pansu spheres are…