manifold paper

  • 81Topological string theory — In theoretical physics, topological string theory is a simplified version of string theory. The operators in topological string theory represent the algebra of operators in the full string theory that preserve a certain amount of supersymmetry.… …

    Wikipedia

  • 82Artin billiard — In mathematics and physics, the Artin billiard is a type of a dynamical billiard first studied by Emil Artin in 1924. It describes the geodesic motion of a free particle on the non compact Riemann surface mathbb{H}/Gamma, where mathbb{H} is the… …

    Wikipedia

  • 83Poincaré, Henri — ▪ French mathematician in full  Jules Henri Poincaré  born April 29, 1854, Nancy, France died July 17, 1912, Paris  French mathematician, one of the greatest mathematicians and mathematical physicists at the end of 19th century. He made a series… …

    Universalium

  • 84Generalized Gauss–Bonnet theorem — In mathematics, the generalized Gauss–Bonnet theorem (also called Chern–Gauss–Bonnet theorem) presents the Euler characteristic of a closed even dimensional Riemannian manifold as an integral of a certain polynomial derived from its curvature. It …

    Wikipedia

  • 85Fake projective plane — For Freedman s example of a non smoothable manifold with the same homotopy type as the complex projective plane, see 4 manifold. In mathematics, a fake projective plane (or Mumford surface) is one of the 50 complex algebraic surfaces that have… …

    Wikipedia

  • 86Brownian motion — This article is about the physical phenomenon; for the stochastic process, see Wiener process. For the sports team, see Brownian Motion (Ultimate). For the mobility model, see Random walk. Brownian motion (named after the botanist Robert Brown)… …

    Wikipedia

  • 87General relativity — For a generally accessible and less technical introduction to the topic, see Introduction to general relativity. General relativity Introduction Mathematical formulation Resources …

    Wikipedia

  • 88Torus — Not to be confused with Taurus (disambiguation). This article is about the surface and mathematical concept of a torus. For other uses, see Torus (disambiguation). A torus As the distance to th …

    Wikipedia

  • 89Penrose-Hawking singularity theorems — The Penrose Hawking singularity theorems are a set of results in general relativity which attempt to answer the question of whether gravity is necessarily singular. These theorems answer this question affirmatively for matter satisfying… …

    Wikipedia

  • 90Space-filling curve — 3 iterations of a Peano curve construction, whose limit is a space filling curve. In mathematical analysis, a space filling curve is a curve whose range contains the entire 2 dimensional unit square (or more generally an N dimensional hypercube) …

    Wikipedia