Hermitian manifold information

geometry, a Hermitian manifold is the complex analogue of a Riemannian manifold. More precisely, a Hermitian manifold is a complex manifold with a smoothly...

Einstein–Hermitian vector bundle Deformed Hermitian Yang–Mills equation Hermitian adjoint Hermitian connection, the unique connection on a Hermitian manifold that...

Hermitian form may also refer to a different concept than that explained below: it may refer to a certain differential form on a Hermitian manifold....

analogue of a Riemannian metric for complex manifolds, called a Hermitian metric. Like a Riemannian metric, a Hermitian metric consists of a smoothly varying...

Riemannian geometry Finsler manifold Sub-Riemannian manifold Pseudo-Riemannian manifold Metric tensor Hermitian manifold Space (mathematics) Wave maps...

manifold Hermitian manifold Hyperkähler manifold Kähler manifold Lie group Pseudo-Riemannian manifold Riemannian manifold Sasakian manifold Spin manifold Symplectic...

this kind of manifold is also referred as almost Hermitian Finsler manifold. The history of Rizza manifolds follows the history of the structure that such...

almost complex manifold is a smooth manifold equipped with a smooth linear complex structure on each tangent space. Every complex manifold is an almost...

mathematics, a Hermitian connection ∇ {\displaystyle \nabla } is a connection on a Hermitian vector bundle E {\displaystyle E} over a smooth manifold M {\displaystyle...

mathematics, a Hermitian symmetric space is a Hermitian manifold which at every point has an inversion symmetry preserving the Hermitian structure. First...

hyperbolic complex space is a Hermitian manifold which is the equivalent of the real hyperbolic space in the context of complex manifolds. The complex hyperbolic...

q^{2}\right)} . In the language of G-structures, a manifold with a U(n)-structure is an almost Hermitian manifold. From the point of view of Lie theory, the classical...

In mathematics, a CR manifold, or Cauchy–Riemann manifold, is a differentiable manifold together with a geometric structure modeled on that of a real hypersurface...

is named after Hermite. List of things named after Charles Hermite Hermitian manifold Hermite interpolation Hermite's cotangent identity Hermite reciprocity...

example. Einstein–Hermitian vector bundle κ should not be confused with k. Besse (1987, p. 18) Besse, Arthur L. (1987). Einstein Manifolds. Classics in Mathematics...

Complex projective space Kähler manifold Dolbeault operator CR manifold Stein manifold Almost complex structure Hermitian manifold Newlander–Nirenberg theorem...

Quaternionic manifold Hyperkähler manifold Manev, Mancho; Sekigawa, Kouei (2005). "Some Four-Dimensional Almost Hypercomplex Pseudo-Hermitian Manifolds". In S...

with contraction using the hermitian form, this construction gives a spinor space at every point of an almost Hermitian manifold and is the reason why every...

{Gr} _{k}(V)} (named in honour of Hermann Grassmann) is a differentiable manifold that parameterizes the set of all k {\displaystyle k} -dimensional linear...

obtains the definition of positive semi-definite Hermitian form. A positive semi-definite Hermitian form ⟨ ⋅ , ⋅ ⟩ {\displaystyle \langle \cdot ,\cdot...

corresponding flag manifolds are the Hermitian symmetric spaces. Over the real numbers, an R-space is a synonym for a real flag manifold and the corresponding...