- homogeneous manifold
- мат.однородное многообразие
English-Russian scientific dictionary. 2008.
homogeneous manifold
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Homogeneous space — In mathematics, particularly in the theories of Lie groups, algebraic groups and topological groups, a homogeneous space for a group G is a non empty manifold or topological space X on which G acts continuously by symmetry in a transitive way. A… … Wikipedia
homogeneous space — noun A manifold or topological space X on which G acts by symmetry in a transitive way … Wiktionary
Calabi–Yau manifold — In mathematics, Calabi ndash;Yau manifolds are compact Kähler manifolds whose canonical bundle is trivial. They were named Calabi ndash;Yau spaces by physicists in 1985, [cite journal | author = Candelas, Horowitz, Strominger and Witten | year =… … 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
Principal homogeneous space — In mathematics, a principal homogeneous space, or torsor, for a group G is a set X on which G acts freely and transitively. That is, X is a homogeneous space for G such that the stabilizer of any point is trivial. An analogous definition holds in … Wikipedia
Isotropic manifold — In mathematics, an isotropic manifold is a manifold in which the geometry doesn t depend on directions. A homogeneous space is a similar concept. A homogeneous space can be non isotropic, in the sense that an invariant metric tensor on a… … Wikipedia
Kähler manifold — In mathematics, a Kähler manifold is a manifold with unitary structure (a U ( n ) structure) satisfying an integrability condition.In particular, it is a complex manifold, a Riemannian manifold, and a symplectic manifold, with these three… … Wikipedia
Sasakian manifold — In differential geometry, a Sasakian manifold is a contact manifold (M, heta) equipped with a special kind of Riemannian metric g, called a Sasakian metric.DefinitionA Sasakian metric is defined using the construction of the Riemannian cone .… … Wikipedia
Projective algebraic manifold — In mathematics, a projective algebraic manifold is a complex manifold which is a submanifold of a complex projective space which is determined by the zeros of a set of homogeneous polynomials.For example if for r in R and p r is the polynomial C2 … Wikipedia
Affine Grassmannian (manifold) — In mathematics, there are two distinct meanings of the term affine Grassmannian . In one it is the manifold of all k dimensional affine subspaces of R n (described on this page), while in the other the Affine Grassmannian is a quotient of a group … Wikipedia
Nilmanifold — In mathematics, a nilmanifold is a differentiable manifold which has a transitive nilpotent group of diffeomorphisms acting on it. As such, a nilmanifold is an example of a homogeneous space and is diffeomorphic to the quotient space N / H, the… … Wikipedia
