5 citations · 16 across the 6 of their papers we have counts for
7 papers
Sobolev Geometry of the Symplectomorphism Group
James Benn, Ali Suri
For a closed symplectic manifold with compatible Riemannian metric we study the Sobolev geometry of the group of all diffeomorphisms on which preserve t…
Second order time dependent tangent bundles and their applications
Ali Suri
The aim of this paper is to geometrize time dependent Lagrangian mechanics in a way that the framework of second order tangent bundles plays an essential role. To this end, we firs…
Complete lift of vector fields and sprays to
Ali Suri, Somaye Rastegarzadeh
In this paper for a given Banach, possibly infinite dimensional, manifold we focus on the geometry of its iterated tangent bundle , . First we en…
Isomorphism classes for higher order tangent bundles
Ali Suri
The tangent bundle of order , of a smooth Banach manifold consists of all equivalent classes of curves that agree up to their accelerations of order . In the previ…
Higher order tangent bundles
Ali Suri
The tangent bundle of order , of a smooth Banach manifold consists of all equivalent classes of curves that agree up to their accelerations of order . For a Banach…
Geometric structure for the tangent bundle of direct limit manifolds
Ali Suri, Patrick Cabau
We equip the direct limit of tangent bundles of paracompact finite dimensional manifolds with a structure of convenient vector bundle with structural group $GL(\infty,\mathbb{R}) =…