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math.DG2010
A theorem of do Carmo-Zhou type: oscillations and estimates for the first eigenvalue of the p-Laplacian
Barnabe Pessoa Lima, Newton Luis Santos
It is shown that the estimates obtained by Manfredo P. do Carmo and Detang Zhou, in their paper "Eigenvalue estimate on complete noncompact Riemannian manifolds and applications",…
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…