generalized complex structure is a property of a differential manifold that includes as special cases a complex structure and a symplectic structure....

A complex structure may refer to: Almost complex manifold Complex manifold Linear complex structure Generalized complex structure Complex structure deformation...

is closed under the Lie bracket. A generalized almost complex structure integrates to a generalized complex structure if the subspace is closed under the...

cells) of different dimensions in specific ways. It generalizes both manifolds and simplicial complexes and has particular significance for algebraic topology...

bracket. This bracket is used to describe the integrability of generalized complex structures. A more general example arises from a Lie algebroid A {\displaystyle...

Hull is known for his work on string theory, M-theory, and generalized complex structures. Edward Witten drew partially from Hull's work for his development...

his article on generalized Calabi–Yau manifolds, he introduced the notion of generalized complex manifolds, providing a single structure that incorporates...

the Courant bracket is the integrability condition of a generalized almost complex structure. Let X {\displaystyle X} and Y {\displaystyle Y} be vector...

Hodge structures have been generalized for all complex varieties (even if they are singular and non-complete) in the form of mixed Hodge structures, defined...

in 10D, superstrings, generalized complex structures and parametrizing solutions of integrable hierarchies. Consider a complex vector space V {\displaystyle...

When F is the real or complex numbers, a generalized flag variety is a smooth or complex manifold, called a real or complex flag manifold. Flag varieties...

generalized homology theory or a generalized cohomology theory, defined below. There are generalized cohomology theories such as K-theory or complex cobordism...

In mathematics, generalized functions are objects extending the notion of functions on real or complex numbers. There is more than one recognized theory...

generalized game theory is especially open to the use of concepts such as incomplete information and bounded rationality. Proponents of generalized game...

types of domains, for instance lineally convex domains which can be generalized using convex analysis. A great deal is already known about these domains...

ISSN 1945-001X. Bailey, Michael (2013-08-01). "Local classification of generalize complex structures". Journal of Differential Geometry. 95 (1). arXiv:1201.4887...

Generalized anxiety disorder (GAD) is an anxiety disorder characterized by excessive, uncontrollable, and often irrational worry about events or activities...

description of de Rham cohomology to include extra structure that is present in the case of complex algebraic varieties. It received little attention before...

In statistics, hierarchical generalized linear models extend generalized linear models by relaxing the assumption that error components are independent...

alternative complex structure on R 2 . {\displaystyle \mathbb {R} ^{2}.} This is generalized by the notion of a linear complex structure. Hypercomplex...

In statistics, a generalized linear model (GLM) is a flexible generalization of ordinary linear regression. The GLM generalizes linear regression by allowing...

Topological string is closely related to Hitchin's ideas on generalized complex structure, Hitchin system, and ADHM construction etc.. The 2-dimensional...

In algebraic geometry a generalized Jacobian is a commutative algebraic group associated to a curve with a divisor, generalizing the Jacobian variety of...

In image analysis, the generalized structure tensor (GST) is an extension of the Cartesian structure tensor to curvilinear coordinates. It is mainly used...

complexities that artists draw from. The term structure of feeling seeks to describe a complex experience, since structures of feeling capture something formative...

was invented by Richard Duda and Peter Hart in 1972, who called it a "generalized Hough transform" after the related 1962 patent of Paul Hough. The transform...

Ryba's conjecture should generalize to Tate cohomology of composite order elements, and the nature of any connections to generalized moonshine and other moonshine...

In geometry, a complex polytope is a generalization of a polytope in real space to an analogous structure in a complex Hilbert space, where each real...

are upper triangular. The generalized Schur decomposition is also sometimes called the QZ decomposition.: 375  The generalized eigenvalues λ {\displaystyle...

after Jacques Tits) is a combinatorial and geometric structure which simultaneously generalizes certain aspects of flag manifolds, finite projective planes...