- spinor manifold
- мат. спинорное многообразие
Большой англо-русский и русско-английский словарь. 2001.
spinor manifold
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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
Spinor bundle — In mathematics and theoretical physics, spinors are certain geometric entities bound up with physical theories of spin , and the mathematics of Clifford algebras, that in a sense are kinds of twisted tensors. From a geometric point of view,… … Wikipedia
G2 manifold — A G 2 manifold is a seven dimensional Riemannian manifold with holonomy group G 2. The group G 2 is one of the five exceptional simple Lie groups. It can be described as the automorphism group of the octonions, or equivalently, as a proper… … Wikipedia
Pure spinor — In a field of mathematics known as representation theory pure spinors are spinor representations of the special orthogonal group that are annihilated by the largest possible subspace of the Clifford algebra. They were introduced by Elie Cartan in … Wikipedia
Killing spinor — is a term used in mathematics and physics. By the more narrow definition, commonly used in mathematics, the term Killing spinor indicates those twistorspinors which are also eigenspinors of the Dirac operator. The term is named after Wilhelm… … Wikipedia
Almost complex manifold — In mathematics, an almost complex manifold is a smooth manifold equipped with smooth linear complex structure on each tangent space. The existence of this structure is a necessary, but not sufficient, condition for a manifold to be a complex… … Wikipedia
Spin(7)-manifold — In mathematics, a Spin(7) manifold is an eight dimensional Riemannian manifold with the exceptional holonomy group Spin(7). Spin(7) manifolds are Ricci flat and admit a parallel spinor. They also admit a parallel 4 form which is a calibrating… … Wikipedia
Spin structure — In differential geometry, a spin structure on an orientable Riemannian manifold allows one to define associated spinor bundles, giving rise to the notion of a spinor in differential geometry. Spin structures have wide applications to mathematical … Wikipedia
Generalized complex structure — In the field of mathematics known as differential geometry, a generalized complex structure is a property of a differential manifold that includes as special cases a complex structure and a symplectic structure. Generalized complex structures… … Wikipedia
Holonomy — Parallel transport on a sphere depends on the path. Transporting from A → N → B → A yields a vector different from the initial vector. This failure to return to the initial vector is measured by the holonomy of the connection. In differential… … Wikipedia
Clifford bundle — In mathematics, a Clifford bundle is an algebra bundle whose fibers have the structure of a Clifford algebra and whose local trivializations respect the algebra structure. There is a natural Clifford bundle associated to any (pseudo) Riemannian… … Wikipedia
