On horizontal immersions of discs in fat distributions of type (4, 6)

Authors

Aritra Bhowmick, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Journal of Topology and Analysis

Abstract

In this paper, we discuss horizontal immersions of discs in certain corank-2 fat distributions on 6-dimensional manifolds. The underlying real distribution of a holomorphic contact distribution on a complex 3 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.

DOI

10.1142/S1793525321500539

Publication Date

1-1-2021

Comments

Open Access, Green

Recommended Citation

Bhowmick, Aritra, "On horizontal immersions of discs in fat distributions of type (4, 6)" (2021). Journal Articles. 2151.
https://digitalcommons.isical.ac.in/journal-articles/2151