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math.DG2005
Vafa-Witten bound on the complex projective space
Hélène Davaux, Maung Min-Oo
We prove that the largest first eigenvalue of the Dirac operator among all hermitian metrics on the complex projective space of odd dimension , larger than the Fubini-Study metr…
math.DG2005★ 2 cited
Weak curvature conditions and functional inequalities
John Lott, Cedric Villani
We give sufficient conditions for a measured length space (X,d,m) to admit local and global Poincare inequalities. We first introduce a condition DM on (X,d,m), defined in terms of…
math.DG2005★ 2 cited
Bounds on primitives of differential forms and cofilling inequalities
Jean-Claude Sikorav
We prove that on a Riemannian manifold, a smooth differential form has a primitive with a given (functional) upper bound provided the necessary weighted isoperimetric inequalities…