1 citations · 2 across the 6 of their papers we have counts for
8 papers
Existence of Horizontal Immersions in Fat Distributions
Aritra Bhowmick, Mahuya Datta
Contact structures, as well as their holomorphic and quaternionic counterparts are the primary examples of strongly bracket generating (or fat) distributions. In this article we as…
A Measure on the space of Lipschitz isometric maps of a compact 1-manifold into
Amites Dasgupta, Mahuya Datta
Let be a compact 1-manifold. Given a continuous function we consider the following ordinary differential equation: , where $f:M\to \ma…
Nash twist and Gaussian noise measure on isometric maps
Amites Dasgupta, Mahuya Datta
Starting with a short map on the unit interval , we construct random isometric map (with respect to some fixed Riemannian metrics)…
Homotopy classification of contact foliations on an open contact manifold
Mahuya Datta, Sauvik Mukherjee
We give a complete classification of foliations on open contact manifolds whose leaves are contact submanifolds of the ambient manifold. The results are analogues of Haefliger's cl…
On Existence of Regular Jacobi Structures
Mahuya Datta, Sauvik Mukherjee
We prove -principle for locally conformal symplectic foliations and contact foliations on open manifolds. We interpret the result on principle of contact foliations in terms…
Immersions in a Quaternionic Grassmannian inducing a given 4-form
Mahuya Datta
Let $Gr_k(\H^n)$ be the Grassmannian manifold of Quaternionic -planes in $\H^n$ and let $γ^n_k\to Gr_k(\H^n)$ denote the Stiefel bundle of quaternionic -frames in $\H^n$. Let…