57 citations · 123 across the 20 of their papers we have counts for
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math.DG2010★ 6 cited
On bifurcation of solutions of the Yamabe problem in product manifolds
L. L. de Lima, P. Piccione, M. Zedda
We study local rigidity and multiplicity of constant scalar curvature metrics in arbitrary products of compact manifolds. Using (equivariant) bifurcation theory we determine the ex…
math.DG2010★ 2 cited
The Yamabe problem for Gauss-Bonnet curvatures: a local result around space forms
Levi Lopes de Lima, Newton Luis Santos
It is shown in the paper "Variational Properties of the Gauss-Bonnet Curvatures" of M.L. Labbi, that metrics with constant 2k-Gauss-Bonnet curvature on a closed n-dimensional manif…
math.DG2010★ 8 cited
Deformations of 2k-Einstein structures
Levi Lopes de Lima, Newton Luis Santos
It is shown that the space of infinitesimal deformations of 2k-Einstein structures is finite dimensional at compact non-flat space forms. Moreover, spherical space forms are shown…