We prove some existence results for the Webster scalar curvature problem on the Heisenberg group and on the unit sphere of $\C^{n+1}$, under the assumption of some natural symmetries of the prescribed curvatures. We use variational and perturbation techniques.
Felli, V., Uguzzoni, F. (2004). Some existence results for the Webster scalar curvature problem in presence of symmetry. ANNALI DI MATEMATICA PURA ED APPLICATA, 183, 469-493 [10.1007/s10231-004-0101-0].
Some existence results for the Webster scalar curvature problem in presence of symmetry
FELLI, VERONICA;
2004
Abstract
We prove some existence results for the Webster scalar curvature problem on the Heisenberg group and on the unit sphere of $\C^{n+1}$, under the assumption of some natural symmetries of the prescribed curvatures. We use variational and perturbation techniques.
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