Quasiregular self-mappings of manifolds and word hyperbolic groups
نویسندگان
چکیده
منابع مشابه
Singularities of quasiregular mappings on Carnot groups
In 1970 Poletskĭı applied the method of the module of a family of curves to describe behavior of quasiregular mappings (in another terminology mappings with bounded distortion) in Rn. In the present paper we generalize a result by Poletskĭı and study a singular set of a quasiregular mapping using the method of the module of a families of curves on Carnot groups.
متن کاملQuasiregular Mappings from a Punctured Ball into Compact Manifolds
We study quasiregular mappings from a punctured unit ball of the Euclidean n-space into compact manifolds. We show that a quasiregular mapping has a limit in the point of punctuation whenever the dimension of the cohomology ring of the compact manifold exceeds a bound given in terms of the dimension and the distortion constant of the mapping.
متن کاملCoxeter Groups and Hyperbolic Manifolds
In the last quarter of a century, 3-manifold topology has been revolutionized by Thurston and his school. This has generated a huge literature on hyperbolic 3-manifolds, building on the classical body of knowledge already existing in 2-dimensions. Balanced against this is a relative paucity of techniques and examples of hyperbolic n-manifolds for n ≥ 4. Recent work of Ratcliffe and Tschantz has...
متن کاملFinite Groups and Hyperbolic Manifolds
The isometry group of a compact n-dimensional hyperbolic man-ifold is known to be finite. We show that for every n ≥ 2, every finite group is realized as the full isometry group of some compact hyperbolic n-manifold. The cases n = 2 and n = 3 have been proven by Greenberg [G] and Ko-jima [K], respectively. Our proof is non constructive: it uses counting results from subgroup growth theory to sh...
متن کاملExamples of Uniformly Quasiregular Mappings
In this paper we construct examples of uniformly quasiregular (uqr) mappings. These provide counterexamples for a rigidity conjecture in quasiregular dynamics. It states that a closed manifold of dimension at least three, which admits a branched uqr mapping, is quasiconformally equivalent to an ordinary sphere Sn. 1. Statements and results In this paper we construct examples of a certain type o...
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: Compositio Mathematica
سال: 2007
ISSN: 0010-437X,1570-5846
DOI: 10.1112/s0010437x07003028