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Local Quasiconvexity of Groups acting on Small Cancellation Complexes
Local quasiconvexity Coherence Small-cancellation Relative hyperbolicity
2010/12/8
Given a group acting cellularly and cocompactly on a simply-connected 2-complex, we provide a criterion establishing that all finitely generated subgroups have quasiconvex orbits. This work generalize...
Relative Quasiconvexity using Fine Hyperbolic Graphs
Relative Quasiconvexity Fine Hyperbolic Graphs
2010/12/8
We provide a new and elegant approach to relative quasi-convexity for relatively hyperbolic groups in the context of Bowditch’s approach to relative hyperbolicity using cocompact actions on fine hy-pe...
Quasiconvexity at the boundary and concentration effects generated by gradients
Bounded sequences of gradients concentrations oscillations quasiconvexity
2010/11/30
We characterize generalized Young measures, the so-called DiPerna-Majda measures which are gener-ated by sequences of gradients. In particular, we precisely describe these measures at the boundary of ...
A Note on Quasiconvexity and Rank-one Convexity for 2$\times$2 Matrices
Quasiconvexity 2$\times$2 Matrices Rank-one Convexity
2009/1/22
We report on an attempt to find a counterexample to the statement that rank-one convexity does not imply quasiconvexity in the case of 2$\times$2 matrices. The failure of such attempt is a consequence...