quotient manifold
11Hopf manifold — In complex geometry, Hopf manifold is obtainedas a quotient of the complex vector space(with zero deleted) ({Bbb C}^nackslash 0)by a free action of the group Gamma cong {Bbb Z} of integers, with the generator gamma of Gamma acting by holomorphic …
12Iwasawa manifold — In mathematics, in the field of differential geometry, an Iwasawa manifold is a compact quotient of a 3 dimensional complex Heisenberg group by a cocompact, discrete subgroup. An Iwasawa manifold is a nilmanifold, of real dimension 6.As a complex …
13Toric manifold — In mathematics, a toric manifold is a topological analogue of toric variety in algebraic geometry. It is an even dimensional manifold with an effective smooth action of n dim compact torus which is locally standard with the orbit space a simple… …
14Affine 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 …
15Nilmanifold — 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… …
16First class constraint — In Hamiltonian mechanics, consider a symplectic manifold M with a smooth Hamiltonian over it (for field theories, M would be infinite dimensional). Poisson bracketsSuppose we have some constraints : f i(x)=0, for n smooth functions :{ f i } {i=… …
17Born coordinates — / ) are time like curves with fixed R .In relativistic physics, the Born coordinate chart is a coordinate chart for (part of) Minkowski spacetime, the flat spacetime of special relativity. It is often used to analyze the physical experience of… …
18Ehrenfest paradox — The Ehrenfest paradox concerns the rotation of a rigid disc in the theory of relativity.In its original formulation as presented by Paul Ehrenfest 1909 in the Physikalische Zeitschrift, it discusses an ideally rigid cylinder that is made to… …
19Fundamental polygon — In mathematics, each closed surface in the sense of geometric topology can be constructed from an even sided oriented polygon, called a fundamental polygon, by pairwise identification of its edges. Fundamental parallelogram defined by a pair of… …
20Quaternionic projective space — In mathematics, quaternionic projective space is an extension of the ideas of real projective space and complex projective space, to the case where coordinates lie in the ring of quaternions H. Quaternionic projective space of dimension n is… …
