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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Tools of o-minimality in the study of groups
群体研究 o-最小性工具 稳定理论
2023/4/27
O-minimal structures have been introduced in the 80s to some extent with the goal of finding generalizations of model theoretic properties of stable theories to ordered structures. Later on, numerous ...
In this paper we will characterize—under appropriate axiomatic assumptions — when a linear order is minimal with respect to not being a countable union of scattered suborders. We show that, assuming P...
On filling minimality of simple Finsler manifolds
simple Finsler manifolds Metric Geometry Differential Geometry
2011/8/30
Abstract: This paper states a formula for the difference of the Holmes-Thompson volumes of two simple Finsler manifolds of arbitrary dimension, in terms of the boundary distances and their derivatives...
We study the model theory of covers of groups definable in o-minimal structures. This includes the case of covers of compact real Lie groups. In particular we study categoricity questions, pointing ou...
On weak mixing, minimality and weak disjointness of all iterates
transitive set weakly mixing set topological entropy
2010/12/3
Given a continuous map f , we study the recurrence properties of f (∗m) = f × f 2 × . . . × f m. In contrast to minimal case, we show that in general there is no relation between topological wea...
Lipschitz minimality of Hopf fibrations and Hopf vector fields
Lipschitz minimality Hopf fibrations Hopf vector fields
2010/12/14
Given a Hopf bration of a round sphere by parallel great subspheres, we prove that the projection map to the base space is, up to isometries of domain and range,the unique Lipschitz constant minimize...
Minimality of certain normal connected sums
certain normal connected sums minimal symplectic 4-manifolds
2010/3/1
We show that the normal connected sum of two minimal symplectic 4-manifolds (neither of them rational or ruled) is a minimal symplectic 4-manifold. In the proof we use a symplectic sum formula for Gro...
Maslov class and minimality in Calabi-Yau manifolds
Maslov class minimality Calabi-Yau manifolds
2010/10/29
Generalizing the construction of the Maslov class for a Lagrangian embedding in a symplectic vector space, we prove that it is possible to give a consistent definition of this class for any Lagrangian...