Bounded cohomology and totally real subspaces in complex hyperbolic geometry

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

4 M ay 2 00 5 BOUNDED COHOMOLOGY AND DEFORMATION RIGIDITY IN COMPLEX HYPERBOLIC GEOMETRY

We develop further basic tools in the theory of bounded continuous cohomology of locally compact groups; as such, this paper can be considered a sequel to [18], [39], and [11]. We apply these tools to establish a Milnor–Wood type inequality in a very general context and to prove a global rigidity result which was originally announced in [13] and [33] with a sketch of a proof using bounded cohom...

متن کامل

Bounded Cohomology Characterizes Hyperbolic Groups

A finitely presentable group G is hyperbolic if and only if the map H2 b (G, V ) → H2(G, V ) is surjective for any bounded G-module. The ‘only if’ direction is known and here we prove the ‘if’ direction. We also consider several ways to define a linear homological isoperimetric inequality.

متن کامل

Bounded geometry in relatively hyperbolic groups

If a group is relatively hyperbolic, the parabolic subgroups are virtually nilpotent if and only if there exists a hyperbolic space with bounded geometry on which it acts geometrically finitely. This provides, via the embedding theorem of M. Bonk and O. Schramm, a very short proof of the finiteness of asymptotic dimension for such groups (which is known to imply Novikov conjectures).

متن کامل

Traces in complex hyperbolic geometry

A complex hyperbolic orbifold M can be written as HC/Γ where Γ is a discrete, faithful representation of π1(M) to Isom(H 2 C). The group SU(2, 1) is a triple cover of the group of holomorphic isometries of HC and (taking subgroups if necessary) we view Γ as a subgroup of SU(2, 1). Our main goal is to discuss the connection between the geometry of M and traces of Γ. We do this in two specific ca...

متن کامل

FUZZY BOUNDED SETS AND TOTALLY FUZZY BOUNDED SETS IN I-TOPOLOGICAL VECTOR SPACES

In this paper, a new definition of fuzzy bounded sets and totallyfuzzy bounded sets is introduced and properties of such sets are studied. Thena relation between totally fuzzy bounded sets and N-compactness is discussed.Finally, a geometric characterization for fuzzy totally bounded sets in I- topologicalvector spaces is derived.

متن کامل

ذخیره 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: Ergodic Theory and Dynamical Systems

سال: 2011

ISSN: 0143-3857,1469-4417

DOI: 10.1017/s0143385711000393