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Bifurcation and local rigidity of homogeneous solutions to the Yamabe problem on spheres
homogeneous solutions Yamabe problem spheres Differential Geometry
2011/9/21
Abstract: We study existence and non existence of constant scalar curvature metrics conformal and arbitrarily close to homogeneous metrics on spheres, using variational techniques. This describes all ...
On bifurcation of solutions of the Yamabe problem in product manifolds
bifurcation of solutions of the Yamabe problem product manifolds
2011/1/19
We study local rigidity and multiplicity of constant scalar curvature metrics in arbitrary products of compact manifolds. Using (equivariant)bifurcation theory we determine the existence of infinitely...
Let M be a compact Riemannian manifold of dimension n. The k-curvature,for k = 1; 2; ￠ ￠ ￠ ; n, is defined as the k-th elementary symmetric polynomial of the eigenvalues of the Schouten tenser. The k-...