4 papers
Martin points on open manifolds of non-positive curvature
Jianguo Cao, Huijun Fan, Francois Ledrappier
The Martin boundary of a Cartan-Hadamard manifold describes a fine geometric structure at infinity, which is a sub-space of positive harmonic functions. We describe conditions whic…
Conley Index Theory and Novikov-Morse Theory
Huijun Fan, Juergen Jost
We derive general Novikov-Morse type inequalities in a Conley type framework for flows carrying cocycles, therefore generalizing our results in [FJ2] derived for integral cocycle.…
Harmonic Hopf Constructions Between Spheres II
Weiyue Ding, Huijun Fan, Jiayu Li
We prove that a necessary condition for the existence of the remaining problem in the harmonic Hopf construction is also sufficient. We also give some topological applications base…
Novikov-Morse theory for dynamical systems
Huijun Fan, Juergen Jost
The present paper contains an interpretation and generalization of Novikov's theory of Morse type inequalities for 1-forms in terms of Conley's theory for dynamical systems.