3 papers
math.MG2024
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…
math.MG2024
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…
math.AG2024
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 m…