Discrete actions on nilpotent Lie groups and negatively curved spaces.

DOI10.1016/S0926-2245(03)00053-6zbMath1059.57014OpenAlexW2010192374WikidataQ115337994 ScholiaQ115337994MaRDI QIDQ1422025

Boris N. Apanasov, Xiangdong Xie

Publication date: 3 February 2004

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0926-2245(03)00053-6

zbMATH Keywords

nilpotent groupHeisenberg groupCR-structurenegative curvaturediscrete groupfiber bundlesgeometrical finitenessBieberbach theorems

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Global Riemannian geometry, including pinching (53C20) Discontinuous groups of transformations (57S30) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Geometric structures on manifolds of high or arbitrary dimension (57N16)

Related Items (5)

Infinite index subgroups and finiteness properties of intersections of geometrically finite groups ⋮ Permanence of a discrete periodic Volterra model with mutual interference and Beddington-DeAngelis functional response ⋮ Dirac operators on non-compact orbifolds ⋮ Deforming discontinuous groups for Heisenberg motion groups ⋮ Quasiconformally instable disc bundles with complex structures

Cites Work

• Discrete subgroups of solvable Lie groups. I
• Geometrically finite hyperbolic structures on manifolds
• Cusp ends of hyperbolic manifolds
• Manifolds of nonpositive curvature
• Complete affine locally flat manifolds with free fundamental group
• Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
• Geometry of horospheres
• Dirichlet polyhedra for dihedral groups acting on complex hyperbolic space
• Discrete parabolic groups
• Limit points of Kleinian groups and finite sided fundamental polyhedra
• Conformal geometry of discrete groups and manifolds
• Geometrical finiteness with variable negative curvature
• The geometry of finitely generated Kleinian groups
• Homogeneity and bounded isometries in manifolds of negative curvature
• Visibility manifolds
• Discrete subgroups of convergence type of U(1,n;C)
• Cohomology theory in abstract groups. II
• Bieberbach's Theorem on Space Groups and Discrete Uniform Subgroups of Lie Groups, II
• Cartan angular invariant and deformations of rank 1 symmetric spaces
• Discrete Quasiconformal Groups I
• Limit Sets of Geometrically Finite Hyperbolic Groups
• Discrete groups of motions of manifolds of nonpositive curvature
• Wiener's test for the Brownian motion on the Heisenberg group
• Geometry and topology of complex hyperbolic and Cauchy-Riemannian manifolds
• Parabolic Fixed Points of Kleinian Groups and the Horospherical Foliation on Hyperbolic Manifolds
• Geometrically Finite Complex Hyperbolic Manifolds
• Bending deformations of complex hyperbolic surfaces.
• FUNDAMENTAL POLYHEDRONS AND LIMIT POINT SETS OF KLEINIAN GROUPS
• Boundary Behavior of Poisson Integrals on Symmetric Spaces
• Almost flat manifolds
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Discrete actions on nilpotent Lie groups and negatively curved spaces.