Complete intersection manifolds with extremal Euler-Poincaré characteristics
نویسندگان
چکیده
منابع مشابه
Euler-Poincaré characteristics of classes of disordered media.
We consider a family of statistical measures based on the Euler-Poincaré characteristic of n-dimensional space that are sensitive to the morphology of disordered structures. These measures embody information from every order of the correlation function but can be calculated simply by summing over local contributions. We compute the evolution of the measures with density for a range of disordere...
متن کاملMinimizing Euler Characteristics of Symplectic Four-manifolds
We prove that the minimal Euler characteristic of a closed symplectic four-manifold with given fundamental group is often much larger than the minimal Euler characteristic of almost complex closed four-manifolds with the same fundamental group. In fact, the difference between the two is arbitrarily large for certain groups. It was first proved by Dehn [2] that every finitely presentable group Γ...
متن کاملEuler Characteristics for Gaussian Fields on Manifolds
I will start by briefly discussing some statistical problems related to mapping the brain, both the cerebrum (a 3-dimensional object) and the cerebral cortex, or ”brain surface” (a 2-dimensional manifold in 3-dimensional space). This problem has motivated recent deep results of Jonathan Taylor describing the random geometry of Gaussian random fields on abstract manifolds, which I will describe,...
متن کاملEuler characteristics of generalized Haken manifolds
Haken n–manifolds have been defined and studied by B. Foozwell and H. Rubinstein in analogy with the classical Haken manifolds of dimension 3, based upon the the theory of boundary patterns developed by K. Johannson. The Euler characteristic of a Haken manifold is analyzed and shown to be equal to the sum of the Charney-Davis invariants of the duals of the boundary complexes of the n–cells at t...
متن کاملMultidimensional Euler – Poincaré equations 1
Given a Lagrangian L : J 1 P → R, with P = M × G → M, invariant under the natural action of G on J 1 P, we deduce the analog of the Euler–Poincaré equations. The geometry of the reduced variational problem as well as its link with the Noether Theorem and an example are also given.
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: Proceedings of the American Mathematical Society
سال: 1975
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1975-0404275-x