Work

The h-principle for maps transverse to bracket-generating distributions

Year: 2024

Type: article

Abstract: Given a smooth bracket-generating distribution D of constant growth on a manifold M, we prove that maps from an arbitrary manifold to M, which are transverse to D, satisfy the complete h-principle.This partially settles a question posed by M. Gromov (1986).

Source: Pacific Journal of Mathematics

DOI: 10.2140/pjm.2024.330.207

Author: Aritra Bhowmick

Institution: Indian Institute of Science Education and Research Kolkata

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: Indian Institute of Science Education and Research Mohali, Indian Institute of Science Education and Research Kolkata

OpenAlex ID: W4402503904