Extending cell-like maps on manifolds

The Topology of Manifolds and Cell-Like Maps

1. Introduction. The focus of this expository article will be on the notion of a cell-like set and a cell-like map (definitions below). It will be discussed how these notions arise naturally in the study of certain problems in topology, and how some solutions to these problems have been achieved. It should be emphasized at the outset that the problems discussed here are all topological in natur...

Stable Exponentially Harmonic Maps Between Finsler Manifolds

Harmonic Maps on Kenmotsu Manifolds

We study in this paper harmonic maps and harmonic morphisms on Kenmotsu manifolds. We also give some results on the spectral theory of a harmonic map for which the target manifold is a Kenmotsu manifold.

stable exponentially harmonic maps between finsler manifolds

Extending Rational Maps

We investigate when a rational endomorphism of the Riemann sphere C extends to a mapping of the upper half-space H3 which is rational with respect to some measurable conformal structure. Such an extension has the property that it and all its iterates have uniformly bounded distortion. Such maps are called uniformly quasiregular. We show that, in the space of rational mappings of degree d, such ...