Geometriae Dedicata

Journal: Geometriae Dedicata

Abbreviation

Geom Dedicata

Publisher

Springer

ISSN

0046-5755
1572-9168

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Publications1 - 10 of 16

Ford fundamental domains in symmetric spaces of rank one
Pohl, Anke D. (2010)
Geometriae Dedicata
We show the existence of isometric (or Ford) fundamental regions for a large class of subgroups of the isometry group of any rank one Riemannian symmetric space of noncompact type. The proof does not use the classification of symmetric spaces. All hitherto known existence results of isometric fundamental regions and domains are essentially subsumed by our work.
h-Principle for curves with prescribed curvature
Wasem, Micha (2016)
Geometriae Dedicata
Tessellations of Homogeneous Spaces of Classical Groups of Real Rank Two
Iozzi, Alessandra; Morris, Dave Witte (2004)
Geometriae Dedicata
Twisted Weyl groups of Lie groups and nonabelian cohomology
An, Jinpeng (2007)
Geometriae Dedicata
Weyl-Einstein structures on conformal solvmanifolds
del Barco, Viviana; Moroianu, Andrei; Schichl, Arthur (2023)
Geometriae Dedicata
A conformal Lie group is a conformal manifold (M, c) such that M has a Lie group structure and c is the conformal structure defined by a left-invariant metric g on M. We study Weyl-Einstein structures on conformal solvable Lie groups and on their compact quotients. In the compact case, we show that every conformal solvmanifold carrying a Weyl-Einstein structure is Einstein. We also show that there are no left-invariant Weyl-Einstein structures on non-abelian nilpotent conformal Lie groups, and classify them on conformal solvable Lie groups in the almost abelian case. Furthermore, we determine the precise list (up to automorphisms) of left-invariant metrics on simply connected solvable Lie groups of dimension 3 carrying left-invariant Weyl-Einstein structures.
Bi-Lipschitz Embeddings of Trees into Euclidean Buildings
Leuzinger, Enrico (2003)
Geometriae Dedicata
Cross ratios, translation lengths and maximal representations
Hartnick, Tobias; Strubel, Tobias (2012)
Geometriae Dedicata
Bounded differential forms, generalized Milnor-Wood inequality and an application to deformation rigidity
Burger, Marc; Iozzi, Alessandra (2007)
Geometriae Dedicata
Median quasimorphisms on CAT(0) cube complexes and their cup products
Brück, Benjamin; Fournier-Facio, Francesco; Löh, Clara (2023)
Geometriae Dedicata
Cup products provide a natural approach to access higher bounded cohomology groups. We extend vanishing results on cup products of Brooks quasimorphisms of free groups to cup products of median quasimorphisms, i.e., Brooks-type quasimorphisms of group actions on CAT (0) cube complexes. In particular, we obtain such vanishing results for groups acting on trees and for right-angled Artin groups. Moreover, we outline potential applications of vanishing results for cup products in bounded cohomology.
Some groups having only elementary actions on metric spaces with hyperbolic boundaries
Karlsson, Anders; Noskov, Guennadi A. (2004)
Geometriae Dedicata

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Journal: Geometriae Dedicata

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