The main result of the paper states that a connected complex affine algebraic curve is LNE
in C n if and only if its germ at any singular point is a finite union of non-singular complex …

In this paper, we prove the following version of the famous Bernstein's theorem: Let $
X\subset\mathbb R^{n+ k} $ be a closed and connected set with Hausdorff dimension $ n …

We study invariance of multiplicity of complex analytic germs and degree of complex affine
sets under outer bi‐Lipschitz transformations (outer bi‐Lipschitz homeomorphims of germs …

Outer Lipschitz Geometry of Complex Algebraic Plane Curves Page 1 R. Targino (2023) “Outer
Lipschitz Geometry of Complex Algebraic Plane Curves,” International Mathematics Research …

In this article, we study the Lipschitz Geometry at infinity of complex analytic sets and we
obtain results on algebraicity of analytic sets and on Bernstein's problem. Moser's Bernstein …

In this note we present some remarks about tangent cones and their invariance under bi-
Lipschitz homeomorphisms. In particular, we prove the bi-Lipschitz invariance of tangent …

A path-connected subanalytic subset in is naturally equipped with two metrics: the inner and
the outer metrics. We say that a subset is Lipschitz normally embedded (LNE) if these two …

In this paper, we prove metric analogues, in any dimension and in any co-dimension, of the
famous Theorem of Mumford on smoothness of normal surfaces and the beautiful Theorem …

Lipschitz Normally Embedded Set and Tangent Cones at Infinity | The Journal of Geometric
Analysis Skip to main content SpringerLink Account Menu Find a journal Publish with us Track …

We study Lipschitz geometry of fibers of complex polynomial mappings from two points of
view: the equivalence of inner and outer metrics of an algebraic curve and the existence of a …