Quaternionic projective space information

In mathematics, quaternionic projective space is an extension of the ideas of real projective space and complex projective space, to the case where coordinates...

inequality for complex projective space Projective Hilbert space Quaternionic projective space Real projective space Complex affine space K3 surface Besse,...

dearth of examples, and exclude spaces like quaternionic projective space which should clearly be considered as quaternionic manifolds. Marcel Berger's 1955...

w_{1}} , which has degree 1. Complex projective space Quaternionic projective space Lens space Real projective plane See the table of Don Davis for a...

point", which is subject to the axioms of projective geometry. For some such set of axioms, the projective spaces that are defined have been shown to be...

connected symmetric spaces. (For example, the universal cover of a real projective plane is a sphere.) Second, the product of symmetric spaces is symmetric,...

"Physical space as a quaternion structure, I: Maxwell equations. A brief Note". arXiv:math-ph/0307038. Kravchenko, Vladislav (2003). Applied Quaternionic Analysis...

projective space is collapsed down to a point. More concretely, in a real projective space, complex projective space or quaternionic projective space...

subcategories. Euclidean space, Rn n-sphere, Sn n-torus, Tn Real projective space, RPn Complex projective space, CPn Quaternionic projective space, HPn Flag manifold...

the complex projective plane, and finite, such as the Fano plane. A projective plane is a 2-dimensional projective space. Not all projective planes can...

coordinate space Cn+1 fibers naturally over the complex projective space CPn with circles as fibers, and there are also real, quaternionic, and octonionic...

In mathematics, quaternionic analysis is the study of functions with quaternions as the domain and/or range. Such functions can be called functions of...

Complex projective space CPn is a 2n-dimensional manifold. Quaternionic projective space HPn is a 4n-dimensional manifold. Manifolds related to projective space...

complex hyperbolic spaces, quaternionic hyperbolic spaces and the octononic hyperbolic plane, which are the other symmetric spaces of negative curvature...

is a principal S p ( 1 ) {\displaystyle Sp(1)} -bundle over quaternionic projective space H P n {\displaystyle \mathbb {H} \mathbb {P} ^{n}} . We then...

group, Sp(2n, R), on the phase space. Hamiltonian mechanics Metaplectic group Orthogonal group Paramodular group Projective unitary group Representations...

symmetric spaces of noncompact type, together with real and quaternionic hyperbolic spaces, classification to which must be added one exceptional space, the...

Riemannian symmetric spaces. Basic examples of Riemannian symmetric spaces are Euclidean space, spheres, projective spaces, and hyperbolic spaces, each with their...

of real and complex projective space. Therefore the classifying space BC2 is of the homotopy type of RP∞, the real projective space given by an infinite...

skew-Hermitian sesquilinear forms defined on real, complex and quaternionic finite-dimensional vector spaces. Of these, the complex classical Lie groups are four...

England Higgs prime, H p n {\displaystyle Hp_{n}} HPN (gene) Quaternionic projective space, H P n {\displaystyle \mathbb {H} \mathrm {P} ^{n}} Westchester...

"The Grassmann method in projective geometry" A compilation of three notes on the application of exterior algebra to projective geometry C. Burali-Forti...

space of spinors, in a way that genuinely depends on the homotopy class. In mathematical terms, spinors are described by a double-valued projective representation...

homography used in real analysis, complex analysis, and quaternionic analysis. In the theory of Hilbert spaces, the Cayley transform is a mapping between linear...