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Multiplicity of solutions to the Yamabe problem on collapsing Riemannian submersions

Multiplicity of solutions to the Yamabe problem on collapsing Riemannian submersions

Let g t be a family of constant scalar curvature metrics on the total space of a Riemannian submersion obtained by shrinking the fibers of an original metric g, so that the submersion collapses as t → 0 (that is, the total space converges to the base in the Gromov-Hausdorff …