Publisher Copyright: © 2022. The Finnish Mathematical SocietyWe define rectifiability in Rn × R with a parabolic metric in terms of C1 graphs and Lipschitz graphs with small Lipschitz constants and we characterize it in terms of approximate tangent planes and tangent measures. We also discuss relations between the parabolic rectifiability and other notions of rectifiability.Peer reviewe
AbstractA remarkable and elementary fact that a locally compact set F of Euclidean space is a smooth...
The purpose of this paper is to introduce and study some basic concepts of quantitative rectifiabili...
Thesis (Ph.D.)--University of Washington, 2021Understanding the geometry of rectifiable sets and mea...
We define rectifiability in Rn × R with a parabolic metric in terms of C1 graphs and Lipschitz graph...
We characterise rectifiable subsets of a complete metric space X in terms of local approximation, wi...
We introduce a notion of rectifiability modeled on Carnot groups. Precisely, we say that a subset E ...
A natural notion of higher order rectifiability is introduced for subsets of Heisenberg groups $\mat...
This paper is related to the problem of finding a good notion of rectifiability in sub-Riemannian ge...
We prove the existence of big pieces of regular parabolic Lipschitz graphs for a class of parabolic...
Abstract. For a set E in (n + 1)-Euclidean space with uniform big pieces of parabolic Lipschitz grap...
The main motivation of this paper arises from the study of Carnot--Carathéodory spaces, where the cl...
In a recent paper, Csörnyei and Wilson prove that curves in Euclidean space of σ-finite length have ...
summary:This paper is meant as a (short and partial) introduction to the study of the geometry of Ca...
We continue to develop a program in geometric measure theory that seeks to identify how measures in ...
Let \(\Sigma\) be a closed subset of \(\mathbb{R}^{n+1}\) which is parabolic Ahlfors-David regular a...
AbstractA remarkable and elementary fact that a locally compact set F of Euclidean space is a smooth...
The purpose of this paper is to introduce and study some basic concepts of quantitative rectifiabili...
Thesis (Ph.D.)--University of Washington, 2021Understanding the geometry of rectifiable sets and mea...
We define rectifiability in Rn × R with a parabolic metric in terms of C1 graphs and Lipschitz graph...
We characterise rectifiable subsets of a complete metric space X in terms of local approximation, wi...
We introduce a notion of rectifiability modeled on Carnot groups. Precisely, we say that a subset E ...
A natural notion of higher order rectifiability is introduced for subsets of Heisenberg groups $\mat...
This paper is related to the problem of finding a good notion of rectifiability in sub-Riemannian ge...
We prove the existence of big pieces of regular parabolic Lipschitz graphs for a class of parabolic...
Abstract. For a set E in (n + 1)-Euclidean space with uniform big pieces of parabolic Lipschitz grap...
The main motivation of this paper arises from the study of Carnot--Carathéodory spaces, where the cl...
In a recent paper, Csörnyei and Wilson prove that curves in Euclidean space of σ-finite length have ...
summary:This paper is meant as a (short and partial) introduction to the study of the geometry of Ca...
We continue to develop a program in geometric measure theory that seeks to identify how measures in ...
Let \(\Sigma\) be a closed subset of \(\mathbb{R}^{n+1}\) which is parabolic Ahlfors-David regular a...
AbstractA remarkable and elementary fact that a locally compact set F of Euclidean space is a smooth...
The purpose of this paper is to introduce and study some basic concepts of quantitative rectifiabili...
Thesis (Ph.D.)--University of Washington, 2021Understanding the geometry of rectifiable sets and mea...
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