flag manifold
Смотреть что такое "flag manifold" в других словарях:
Flag (linear algebra) — In mathematics, particularly in linear algebra, a flag is an increasing sequence of subspaces of a vector space V . Here increasing means each is a proper subspace of the next (see filtration)::{0} = V 0 sub V 1 sub V 2 sub cdots sub V k = V.If… … Wikipedia
Manifold (magazine) — Manifold was a mathematical magazine published at the University of Warwick. Its philosophy was It is possible to be serious about mathematics, without being solemn. Its best known editor was the mathematician Ian Stewart who edited the magazine… … Wikipedia
Generalized flag variety — In mathematics, a generalized flag variety (or simply flag variety) is a homogeneous space whose points are flags in a finite dimensional vector space V over a field F. When F is the real or complex numbers, a generalized flag variety is a smooth … Wikipedia
Topological manifold — In mathematics, a topological manifold is a Hausdorff topological space which looks locally like Euclidean space in a sense defined below. Topological manifolds form an important class of topological spaces with applications throughout… … Wikipedia
Stiefel manifold — In mathematics, the Stiefel manifold V k (R n ) is the set of all orthonormal k frames in R n . That is, it is the set of ordered k tuples of orthonormal vectors in R n . Likewise one can define the complex Stiefel manifold V k (C n ) of… … Wikipedia
List of manifolds — This is a list of particular manifolds, by Wikipedia page. See also list of geometric topology topics. For categorical listings see and its subcategories.Generic families of manifolds*Euclidean space, R n * n sphere, S n * n torus, T n *Real… … Wikipedia
Grassmannian — In mathematics, a Grassmannian is a space which parameterizes all linear subspaces of a vector space V of a given dimension. For example, the Grassmannian Gr 1( V ) is the space of lines through the origin in V , so it is the same as the… … Wikipedia
Michael Atiyah — Sir Michael Atiyah Born 22 April 1929 (1929 04 22) (age 82) … Wikipedia
Hermitian 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
Projective space — In mathematics a projective space is a set of elements constructed from a vector space such that a distinct element of the projective space consists of all non zero vectors which are equal up to a multiplication by a non zero scalar. A formal… … Wikipedia
Real projective space — In mathematics, real projective space, or RP n is the projective space of lines in R n +1. It is a compact, smooth manifold of dimension n , and a special case of a Grassmannian.ConstructionAs with all projective spaces, RP n is formed by taking… … Wikipedia
