On Horizontal Immersions of Discs in Fat Distributions of Type $(4,6)$
Differential Geometry
2024-04-30 v2
Abstract
In this article we discuss horizontal immersions of discs in certain corank- fat distributions on -dimensional manifolds. The underlying real distribution of a holomorphic contact distribution on a complex manifold belongs to this class. The main result presented here says that the associated nonlinear PDE is locally invertible. Using this we prove the existence of germs of embedded horizontal discs.
Keywords
Cite
@article{arxiv.2003.06565,
title = {On Horizontal Immersions of Discs in Fat Distributions of Type $(4,6)$},
author = {Aritra Bhowmick},
journal= {arXiv preprint arXiv:2003.06565},
year = {2024}
}
Comments
Reorganized and added existence result. To appear in the Journal of Topology and Analysis