Bootstrap for Local Rigidity of Anosov Automorphisms on the 3-Torus

The parameterization method for invariant manifolds I: Manifolds associated to non-resonant subspaces

Xavier Cabré, Ernest Fontich, Rafael de la Llave · Indiana University Mathematics Journal · 2003 · 290 citations · Full text

Natural Sciences, Mathematics, Differential Equations +9

Canonical Perturbation Theory of Anosov Systems and Regularity Results for the Livsic Cohomology Equation

Rafael de la Llave, J. M. Marco, Roberto Moriyón · Annals of Mathematics · 1986 · 284 citations

Natural Sciences, Mathematics, Differential Equations +15

Some inverse spectral results for negatively curved 2-manifolds

Victor Guillemin, David Kazhdan · Topology · 1980 · 253 citations

Natural Sciences, Mathematics, Topology +9

A Regularity Lemma for Functions of Several Variables

Jean-Lin Journé · Revista Matemática Iberoamericana · 1988 · 125 citations · Full text

Natural Sciences, Geophysics, Topology +4

Spectral rigidity of a compact negatively curved manifold

Christopher B. Croke, V. A. Sharafutdinov · Topology · 1998 · 114 citations · Full text

Natural Sciences, Plastic Surgery, Geodesy +8