منابع مشابه
Complex Hyperbolic Triangle Groups
The theory of complex hyperbolic discrete groups is still in its childhood but promises to grow into a rich subfield of geometry. In this paper I will discuss some recent progress that has been made on complex hyperbolic deformations of the modular group and, more generally, triangle groups. These are some of the simplest nontrivial complex hyperbolic discrete groups. In particular, I will talk...
متن کاملComplex Hyperbolic Hyperplane Complements
We study spaces obtained from a complete finite volume complex hyperbolic n-manifold M by removing a compact totally geodesic complex (n−1)-submanifold S . The main result is that the fundamental group of M \S is relatively hyperbolic, relative to fundamental groups of the ends of M \S , and M \S admits a complete finite volume A -regular Riemannian metric of negative sectional curvature. It fo...
متن کاملGenerators for a Complex Hyperbolic Braid Group
We give generators for a certain complex hyperbolic braid group. That is, we remove a hyperplane arrangement from complex hyperbolic 13space, take the quotient of the remaining space by a discrete group, and find generators for the orbifold fundamental group of the quotient. These generators have the most natural form: loops corresponding to the hyperplanes which come nearest the basepoint. Our...
متن کاملA Mass for Asymptotically Complex Hyperbolic Manifolds
We prove a positive mass theorem for complete Kähler manifolds that are asymptotic to the complex hyperbolic space.
متن کاملComplex Hyperbolic Ideal Tetrahedral Groups
Tetrahedral groups are defined as groups of complex reflections on four planes, such that those planes form a tetrahedral configuration with vertices in the boundary of HC. We prove that the complex tetrahedral groups that are complexifications of real groups (i.e. subgroups of PO(3, 1)) do not admit discrete deformations. To achieve this, the structure of the subgroups that stabilize the verti...
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: Groups, Geometry, and Dynamics
سال: 2010
ISSN: 1661-7207
DOI: 10.4171/ggd/74