M. Datta

activity

20122016

collaborators

3 papers

math.PR2016

A Measure on the space of Lipschitz isometric maps of a compact 1-manifold into $R^{2}$

Amites Dasgupta, Mahuya Datta

Let $M$ be a compact 1-manifold. Given a continuous function $g : M \to R_{+}$ we consider the following ordinary differential equation: $∥ f ˙ (t) ∥ = g (t)$ , where $f:M\to \ma…

math.DG2013

On Existence of Regular Jacobi Structures

Mahuya Datta, Sauvik Mukherjee

We prove $h$ -principle for locally conformal symplectic foliations and contact foliations on open manifolds. We interpret the result on $h$ principle of contact foliations in terms…

math.DG2012

Immersions in a Quaternionic Grassmannian inducing a given 4-form

Mahuya Datta

Let $Gr_k(\H^n)$ be the Grassmannian manifold of Quaternionic $k$ -planes in $\H^n$ and let $γ^n_k\to Gr_k(\H^n)$ denote the Stiefel bundle of quaternionic $k$ -frames in $\H^n$. Let…

A Measure on the space of Lipschitz isometric maps of a compact 1-manifold into R2

On Existence of Regular Jacobi Structures

Immersions in a Quaternionic Grassmannian inducing a given 4-form

A Measure on the space of Lipschitz isometric maps of a compact 1-manifold into $R^{2}$