Ricardo Mañé Ramírez, Uruguayan / Brazilian mathematician (Montevideo 14 January 1948 –Montevideo 09 March 1995)
World leader on dynamical systems
Authored 51 works with 1,333 citations
His book Introdução de teoria ergódica (Ergodic theory and differentiable dynamics) was translated into English language (1987)
Showed that normal hiperbolicity is required for persistence of invariant manifolds (1974)
Defined quasi-Anosov diffeomorphisms
Proved that the interior in the C1 topology of the set of expansive diffeomorphisms is the set of quasi-Anosov diffeomorphisms (1975)
Proved that a compact metric space exhibiting expansive homeomorphisms must be finite dimensional and every minimal set of such homeomorphisms is zero dimensional (1979)
INTRODUCED
With Paulo Sad & Sullivan the concept of holomorphic motion of a closed planar set (1983)
Notion of critical value independently from other authors
Notion of generic Lagrangian function
Concept of ergodic closing lemma
Proved the stability conjecture for C1 class diffeomorphisms (1988)
EPONYMY
Mañé theorem
Mañé-Mather set
Bochi-Mañé theorem
Holder-Mañé theorem
Mañé potential
Mañé supercritical hypersurfaces
Mañé conjecture
Araujo-Mañé theorem
Takens-Mañé theorem
Mañé ergodic closing lemma
Mañé-Sad-Sullivan theorem
Mañé-Conze-Guivarc’h lemma
Mañé critical values
Aubry-Mañé sets
Mañé hyperbolicity theorem
Mañé projection
Mañé-Lyubich measure
Bowen-Mañé phenomenon
Mañé genericity theorem
HONOURS
Two-time invited lecturer at International Congress of Mathematicians (1983 & 1994)