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- W4287393419 abstract "We study outer Lipschitz geometry of real semialgebraic or, more general, definable in a polynomially bounded o-minimal structure over the reals, surface germs. In particular, any definable Holder triangle is either Lipschitz normally embedded or contains some abnormal arcs. We show that abnormal arcs constitute finitely many abnormal zones in the space of all arcs, and investigate geometric and combinatorial properties of abnormal surface germs. We establish a strong relation between geometry and combinatorics of abnormal Holder triangles." @default.
- W4287393419 created "2022-07-25" @default.
- W4287393419 creator A5045077685 @default.
- W4287393419 creator A5073362227 @default.
- W4287393419 date "2021-01-06" @default.
- W4287393419 modified "2023-09-26" @default.
- W4287393419 title "Lipschitz geometry and combinatorics of abnormal surface germs" @default.
- W4287393419 doi "https://doi.org/10.48550/arxiv.2101.02302" @default.
- W4287393419 hasPublicationYear "2021" @default.
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