Mahuya Datta

A note on Pontrjagin forms

Let P be a principal 0(2m) bundle over a manifold M of dimension 4m, and let p be its m-dimensional Pontrjagin class. In this paper, we aim at answering the following question: Which representatives of the class p can be realised as the Pontrjagin form of some connection on P?

Connections with prescribed first Pontrjagin form

Let P be a principal O(n) bundle over a C°° manifold M of dimension m. If n > 5m + 4 + 4( m+1 4 ), then we prove that every differential 4-form representing the first Pontrjagin class of P is the Pontrjagin form of some connection on P.

On existence of regular jacobi structures

We prove

PARTIAL ISOMETRIES OF A SUB-RIEMANNIAN MANIFOLD

h

Homotopy classification of contact foliations on open contact manifolds

h-principle for locally conformal symplectic foliations and contact foliations on open manifolds. We then interpret the results in terms of regular Jacobi structures on manifolds.

Nash Twist and Gaussian Noise Measure for Isometric C1 Maps

AbstractThe purpose of this paper is to obtain a homotopy classification of a class of immersions in a contact manifold following

Isometric

h