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Bifurcation for the Constant Scalar Curvature Equation and Harmonic Riemannian Submersions

Otoba, Nobuhiko ; Petean, Jimmy



Abstract

We study bifurcation for the constant scalar curvature equation along a one-parameter family of Riemannian metrics on the total space of a harmonic Riemannian submersion. We provide an existence theorem for bifurcation points and a criterion to see that the conformal factors corresponding to the bifurcated metrics must be indeed constant along the fibers. In the case of the canonical variation of ...

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