Complete Poincare sections and tangent sets
نویسندگان
چکیده
منابع مشابه
Complete Poincar E Sections and Tangent Sets
Trying to extend a local deenition of a surface of section and the corresponding Poincar e map to a global one, one can encounter severe diiculties. We show that global transverse sections often do not exist for Hamiltonian systems with two degrees of freedom. As a consequence we present a method to generate so called W-section, which by construction will be intersected by (almost) all orbits. ...
متن کاملMicro Tangent Sets of Continuous Functions
Motivated by the concept of tangent measures and by H. Fürstenberg’s definition of microsets of a compact set A we introduce micro tangent sets and central micro tangent sets of continuous functions. It turns out that the typical continuous function has a rich (universal) micro tangent set structure at many points. The Brownian motion, on the other hand, with probability one does not have graph...
متن کاملRelative Poincare Lemma, Contractibility, Quasi-homogeneity and Vector Fields Tangent to a Singular Variety
We study the interplay between the properties of the germ of a singular variety N ⊂ Rn given in the title and the algebra of vector fields tangent to N . The Poincare lemma property means that any closed differential (p+1)-form vanishing at any point ofN is a differential of a p-form which also vanishes at any point of N . In particular, we show that the classical quasi-homogeneity is not a nec...
متن کاملTangent Bundle of a Complete Intersection
Let X be a Fano variety of Picard number one defined over an algebraically closed field. We give conditions under which the tangent bundle of a complete intersection on X is stable or strongly stable.
متن کاملLocal Set Approximation: Mattila–vuorinen Type Sets, Reifenberg Type Sets, and Tangent Sets
We investigate the interplay between the local and asymptotic geometry of a set A ⊆ Rn and the geometry of model sets S ⊂ P(Rn), which approximate A locally uniformly on small scales. The framework for local set approximation developed in this paper unifies and extends ideas of Jones, Mattila and Vuorinen, Reifenberg, and Preiss. We indicate several applications of this framework to variational...
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: Journal of Physics A: Mathematical and General
سال: 1995
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/28/24/015