On equivalence problem for 2–nondegenerate CR geometries with simple models

The Local Equivalence Problem in Cr Geometry

This article is dedicated to the centenary of the local CR equivalence problem, formulated by Henri Poincaré in 1907. The first part gives an account of Poincaré’s heuristic counting arguments, suggesting existence of infinitely many local CR invariants. Then we sketch the beautiful completion of Poincaré’s approach to the problem in the work of Chern and Moser on Levi nondegenerate hypersurfac...

The Equivalence Problem for Higher-codimensional Cr Structures

The equivalence problem for CR structures can be viewed as a special case of the equivalence problem for G-structure. This paper uses Cartan’s methods (in modernized form) to show that a CR manifold of codimension 3 or greater with suitably generic Levi form admits a canonical connection on a reduced structure bundle whose group is isomorphic to the multiplicative group of complex numbers. As c...

on some bayesian statistical models in actuarial science with emphasis on claim count

چکیده ندارد.

Parabolic Geometries , Cr { Tractors , And

Simple Bratteli Diagrams with a Gödel-incomplete C*-equivalence Problem

An abstract simplicial complex is a finite family of subsets of a finite set, closed under subsets. Every abstract simplicial complex C naturally determines a Bratteli diagram and a stable AF-algebra A(C). Consider the following problem: INPUT: a pair of abstract simplicial complexes C and C′; QUESTION: is A(C) isomorphic to A(C′)? We show that this problem is Gödel incomplete, i.e., it is recu...