Hermitian metric

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• Hermitian manifold — In mathematics, a Hermitian manifold is the complex analog of a Riemannian manifold. Specifically, a Hermitian manifold is a complex manifold with a smoothly varying Hermitian inner product on each (holomorphic) tangent space. One can also define …   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

• Hermitian — A number of mathematical entities are named Hermitian, after the mathematician Charles Hermite:*Hermitian adjoint *Hermitian connection *Hermitian form *Hermitian function *Hermitian hat wavelet *Hermitian kernel *Hermitian manifold/structure… …   Wikipedia

• Hermitian connection — In mathematics, the Hermitian connection abla, also called the Chern connection, is the unique connection on a Hermitian manifold that satisfies the following conditions, # It preserves the metric g, i.e., abla g=0. # It preserves the complex… …   Wikipedia

• Bergman metric — In differential geometry, the Bergman metric is a Hermitian metric that can be defined on certain types of complex manifold. It is so called because it is derived from the Bergman kernel.DefinitionLet G subset {mathbb{C^n be a domain and let… …   Wikipedia

• Fubini-Study metric — In mathematics, the Fubini Study metric is a Kähler metric on projective Hilbert space, that is, complex projective space CP n endowed with a Hermitian form. In the context of quantum mechanics, for n=1 this space is called the Bloch sphere; the… …   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

• Spinor — In mathematics and physics, in particular in the theory of the orthogonal groups (such as the rotation or the Lorentz groups), spinors are elements of a complex vector space introduced to expand the notion of spatial vector. Unlike tensors, the… …   Wikipedia

• Strominger's equations — In heterotic string theory, the Strominger s equations are the set of equations that are necessary and sufficient conditions for spacetime supersymmetry. It is derived by requiring the 4 dimensional spacetime to be maximally symmetric, and adding …   Wikipedia

• Complex manifold — In differential geometry, a complex manifold is a manifold with an atlas of charts to the open unit disk[1] in Cn, such that the transition maps are holomorphic. The term complex manifold is variously used to mean a complex manifold in the sense… …   Wikipedia

• Charles Hermite — Hermite redirects here. For other uses, see Hermite (disambiguation). Charles Hermite Charles Hermite circa 1901 …   Wikipedia