43 citations · 129 across the 28 of their papers we have counts for
32 papers
Universality theorem for LNE Hölder triangles
Lev Birbrair, Maciej Denkowski, Davi Lopes Medeiros +1
We compare ambient and outer Lipschitz geometry of Lipschitz normally embedded Hölder triangles in . In contrast to the case of there are infinitely ma…
Ambient Lipschitz geometry of normally embedded surface germs
Lev Birbrair, Davi Lopes Medeiros
We study the ambient Lipschitz geometry of semialgebraic surfaces. It was discovered in \cite{BBG} that ambient Lipschitz Geometry is different from the outer Lipschtz geometry. We…
Outer Lipschitz Classification of Normal Pairs of Hölder Triangles
Lev Birbrair, Andrei Gabrielov
A normal pair of Hölder triangles is the union of two normally embedded Hölder triangles satisfying some natural conditions on the tangency orders of their boundary arcs. It is a s…
Multi--Lipschitz equivalence in dimension two
Lev Birbrair, Rodrigo Mendes
In this paper, we study Multi--equivalence of multi-germs of functions on the plane, definable in a polynomially bounded o-minimal structure. We partition the germ of…
Lipschitz Geometry of Real Semialgebraic Surfaces
Lev Birbrair, Andrei Gabrielov
We present here basic results in Lipschitz Geometry of semialgebraic surface germs. Although bi-Lipschitz classification problem of surface germs with respect to the inner metric w…
Lipschitz geometry of pairs of normally embedded Hölder triangles
Lev Birbrair, Andrei Gabrielov
We consider a special case of the outer bi-Lipschitz classification of real semialgebraic (or, more general, definable in a polynomially bounded o-minimal structure) surface germs,…