Existence and classification of maximally non-integrable distributions of derived length one

2021/11/02 by Jiro Adachi, Adachi, Jiro · 2 citations
Computer Science · Mathematics · #53C23 #57R15 #58A30 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2111.01403

openalex publication_date 2021/11/02 · openalex created_date 2021/11/08 · openalex updated_date 2026/07/28

Abstract

The h-principles for maximally non-integrable tangent distributions of derived length one on manifolds are studied in this paper. Such distributions of odd rank are dealt with. The formal structures for such distributions are introduced. From the view point of the h-principles, we discuss the existence and classification of such structures.

Cited by

• k-contact Lie systems: theory and applications
• Existence and classification of the Cartan (2,3,5)-distribution

Related

• Existence and classification of maximal growth distributions
• A Canonical Frame for Nonholonomic Rank Two Distributions of Maximal Class
• Classification of tangent and transverse knots in bracket-generating distributions
• The h-principle fails for prelegendrians in corank 2 fat distributions
• Affine connections of non integrable distributions