Hadamard's dynamical system — In physics and mathematics, the Hadamard dynamical system or Hadamard s billiards is a chaotic dynamical system, a type of dynamical billiards. Introduced by Jacques Hadamard in 1898 [J. Hadamard, Les surfaces à courbures opposées et leurs lignes … Wikipedia
Cartan–Hadamard theorem — The Cartan–Hadamard theorem is a statement in Riemannian geometry concerning the structure of complete Riemannian manifolds of non positive sectional curvature. The theorem states that the universal cover of such a manifold is diffeomorphic to a… … Wikipedia
Jacques Hadamard — Infobox Scientist name = Jacques Hadamard |300px image width = 300px caption = Jacques Salomon Hadamard birth date = birth date|1865|12|8|mf=y birth place = Versailles, France death date = death date and age|1963|10|17|1865|12|8|mf=y death place … Wikipedia
List of mathematics articles (H) — NOTOC H H cobordism H derivative H index H infinity methods in control theory H relation H space H theorem H tree Haag s theorem Haagerup property Haaland equation Haar measure Haar wavelet Haboush s theorem Hackenbush Hadamard code Hadamard… … Wikipedia
CAT(k) space — In mathematics, a CAT( k ) space is a specific type of metric space. Intuitively, triangles in a CAT( k ) space are slimmer than corresponding model triangles in a standard space of constant curvature k . In a CAT( k ) space, the curvature is… … Wikipedia
Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… … Wikipedia
List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… … Wikipedia
Glossary of Riemannian and metric geometry — This is a glossary of some terms used in Riemannian geometry and metric geometry mdash; it doesn t cover the terminology of differential topology. The following articles may also be useful. These either contain specialised vocabulary or provide… … Wikipedia
List of theorems — This is a list of theorems, by Wikipedia page. See also *list of fundamental theorems *list of lemmas *list of conjectures *list of inequalities *list of mathematical proofs *list of misnamed theorems *Existence theorem *Classification of finite… … Wikipedia
Dynamical billiards — The Bunimovich stadium is a chaotic dynamical billiard A billiard is a dynamical system in which a particle alternates between motion in a straight line and specular reflections from a boundary. When the particle hits the boundary it reflects… … Wikipedia