Constructions of Generalized Complex Structures in Dimension Four
نویسندگان
چکیده
منابع مشابه
Complex structures in generalized small worlds.
We propose a generalization of small world networks, in which the reconnection of links is governed by a function that depends on the distance between the elements to be linked. An adequate choice of this function lets us control the clusterization of the system. Control of the clusterization, in turn, allows the generation of a wide variety of topologies.
متن کاملConformal changes of generalized complex structures
A conformal change of TM ⊕ T ∗M is a morphism of the form (X,α) 7→ (X, eτα) (X ∈ TM,α ∈ T ∗M, τ ∈ C∞(M)). We characterize the generalized almost complex and almost Hermitian structures that are locally conformal to integrable and to generalized Kähler structures, respectively, and give examples of such structures.
متن کاملHausdorff dimension and oracle constructions
Bennett and Gill (1981) proved that P 6= NP relative to a random oracle A, or in other words, that the set O[P=NP] = {A | P = NP} has Lebesgue measure 0. In contrast, we show that O[P=NP] has Hausdorff dimension 1. This follows from a much more general theorem: if there is a relativizable and paddable oracle construction for a complexity-theoretic statement Φ, then the set of oracles relative t...
متن کاملGeneralized complex structures and Lie brackets
We remark that the equations underlying the notion of generalized complex structure have simple geometric meaning when passing to Lie algebroids/groupoids.
متن کاملProbabilistic constructions in generalized quadrangles
We study random constructions in incidence structures, and illustrate our techniques by means of a well-studied example from finite geometry. A maximal partial ovoid of a generalized quadrangle is a maximal set of points no two of which are collinear. The problem of determining the smallest size of a maximal partial ovoid in quadrangles has been extensively studied in the literature. In general...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2012
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-012-1528-6