vector space

  • 121Symmetric space — In differential geometry, representation theory and harmonic analysis, a symmetric space is a smooth manifold whose group of symmetries contains an inversion symmetry about every point. There are two ways to make this precise. In Riemannian… …

    Wikipedia

  • 122Topological space — Topological spaces are mathematical structures that allow the formal definition of concepts such as convergence, connectedness, and continuity. They appear in virtually every branch of modern mathematics and are a central unifying notion. The… …

    Wikipedia

  • 123P-vector — In differential geometry, a p vector is the tensor obtained by taking linear combinations of the wedge product of p tangent vectors, for some integer p ≥ 1. It is the dual concept to a p form.For p = 2 and 3, these are often called respectively… …

    Wikipedia

  • 124Hermitian symmetric space — In mathematics, a Hermitian symmetric space is a Kähler manifold M which, as a Riemannian manifold, is a Riemannian symmetric space. Equivalently, M is a Riemannian symmetric space with a parallel complex structure with respect to which the… …

    Wikipedia

  • 125Vectors in three-dimensional space — (1978) is a book concerned with physical quantities defined in ordinary 3 space. It was written by J.S.R.Chisholm, an English mathematical physicist, and published by Cambridge University Press. According to the author, such physical quantities… …

    Wikipedia

  • 126Complex projective space — The Riemann sphere, the one dimensional complex projective space, i.e. the complex projective line. In mathematics, complex projective space is the projective space with respect to the field of complex numbers. By analogy, whereas the points of a …

    Wikipedia

  • 127Thom space — In mathematics, the Thom space or Thom complex (named after René Thom) of algebraic topology and differential topology is a topological space associated to a vector bundle, over any paracompact space. One way to construct this space is as follows …

    Wikipedia

  • 128Hamiltonian vector field — In mathematics and physics, a Hamiltonian vector field on a symplectic manifold is a vector field, defined for any energy function or Hamiltonian. Named after the physicist and mathematician Sir William Rowan Hamilton, a Hamiltonian vector field… …

    Wikipedia