Explore: Hermitian Structure

unitary structure (U(n) structure) on the manifold. By dropping this condition, we get an almost Hermitian manifold. On any almost Hermitian manifold

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

In mathematics, a Hermitian matrix (or self-adjoint matrix) is a complex square matrix that is equal to its own conjugate transpose—that is, the element

Complex differential form Complex conjugate vector space Hermitian structure Real structure Kobayashi S. and Nomizu K., Foundations of Differential Geometry

study of structures and constructions that can be performed on Kähler manifolds, such as the existence of special connections like Hermitian Yang–Mills

admits a holomorphic coordinate atlas. An almost Hermitian structure is given by an almost complex structure J, along with a Riemannian metric g, satisfying

and conjugate transpose, and linear operators over a Hilbert space and Hermitian adjoints. However, it may happen that an algebra admits no involution

\Omega } does not square to − I n {\displaystyle -I_{n}} . Given a hermitian structure on a vector space, J {\displaystyle J} and Ω {\displaystyle \Omega

on manifolds with almost complex, almost quaternion, and almost Hermitian structure. He earned his doctorate in 1958. From 1958 to 1961, he worked as

the variable changed in sign Hermitian manifold/structure Hermitian metric, is a smoothly varying positive-definite Hermitian form on each fiber of a complex