Tangent hyperplanes to subriemannian balls
Andrei Agrachev
TL;DR
This paper investigates whether subriemannian balls possess tangent hyperplanes, considering the possibility of strictly abnormal shortest paths, which are typically excluded in classical analyses.
Contribution
It explores the existence of tangent hyperplanes to subriemannian balls, including cases with strictly abnormal shortest paths, advancing understanding of subriemannian geometry.
Findings
Identifies conditions for tangent hyperplanes to subriemannian balls.
Analyzes the role of strictly abnormal shortest paths.
Provides insights into geometric structure of subriemannian spaces.
Abstract
We examine the existence of tangent hyperplanes to subriemannian balls. Strictly abnormal shortest paths are allowed
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Taxonomy
TopicsComputational Geometry and Mesh Generation · Point processes and geometric inequalities · Mathematics and Applications