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...

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

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...

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

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...

Structures of feeling are emergent. They eventually give way to a more generalized or defined form of feeling in general discourse, but structures of...

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

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

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

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

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

seizure or a generalized tonic–clonic seizure. The newer classification of 2017 groups only focal and generalized seizures, and generalized seizures are...

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

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...

= A + {\textstyle A^{+}AA^{+}=A^{+}} , it is called a generalized reflexive inverse. Generalized inverses always exist but are not in general unique. Uniqueness...

plane of the complex number plane C {\displaystyle \mathbb {C} } that satisfy certain functional equations). Langlands then generalized these to automorphic...

Generalized anxiety disorder (GAD) is a mental and behavioral disorder, specifically an anxiety disorder characterized by excessive, uncontrollable and...

Generalized Functions, vol. 4: Some Applications of Harmonic Analysis. Rigged Hilbert Spaces. Academic Press, New York, 1964. K. Maurin, Generalized Eigenfunction...

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

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

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...

generalize the idea of a number system equipped with conjugation, for example the complex numbers and complex conjugation, matrices over the complex numbers...

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

The membrane attack complex (MAC) or terminal complement complex (TCC) is a complex of proteins typically formed on the surface of pathogen cell membranes...

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

generalized topology in the Boolean algebra. Given an interior algebra its open elements form a generalized topology. Conversely given a generalized topological...

over X {\displaystyle X} with a complex linear structure on the stable normal bundle. Complex bordism is a generalized homology theory, corresponding to...