Add to ORKGOn a smooth manifold M, the vector bundle structures of the second order tangent bundle, T^2M bijectively correspond to linear connections. In this paper we classify such structures for those Frechet manifolds which can be considered as projective limits of Banach manifolds. We investigate also the relation between ordinary differential equations on Frechet spaces and the linear connections on their trivial bundle; the methodology extends to solve differential equations on those Frechet manifolds which are obtained as projective limits of Banach manifolds. Such equations arise in theoretical physics. We indicate an extension of the Earle and Eells foliation theorem to the Frechet case
Many geometrical features of manifolds and fibre bundles modelled on Fréchet spaces either cannot be...
summary:The geometry of second-order systems of ordinary differential equations represented by $2$-c...
summary:All natural operations transforming linear connections on the tangent bundle of a fibred man...
On a smooth manifold M, the vector bundle structures of the second order tangent bundle, T^2M, bijec...
Abstract. On a smooth manifold M, the vector bundle structures of the second order tangent bundle, T...
Ambrose, Palais and Singer introduced the concept of second order structures on finite dimensional m...
Some recent work in Frechet geometry is briefly reviewed. In particular an earlier result on the str...
The vector bundle structure obtained on the second order (acceleration) tangent bundle T^2M of a smo...
Some recent work in Fréchet geometry is briefly reviewed. In particular an earlier result on the st...
On a smooth Banach manifold M,$the equivalence classes of curves that agree up to acceleration form ...
On a smooth Banach manifold M, the equivalence classes of curves that agree up to acceleration form ...
The second order tangent bundle T^2M of a smooth manifold M consists of the equivalence classes of c...
In this paper we develop the geometry of bounded Fr\'echet manifolds. We prove that a bounded Fr\'ec...
For Frechet manifolds by using sprays, we construct connection maps, linear symmetric connections on...
The theory of connections is central not only in pure mathematics (differential and algebraic geomet...
Many geometrical features of manifolds and fibre bundles modelled on Fréchet spaces either cannot be...
summary:The geometry of second-order systems of ordinary differential equations represented by $2$-c...
summary:All natural operations transforming linear connections on the tangent bundle of a fibred man...
On a smooth manifold M, the vector bundle structures of the second order tangent bundle, T^2M, bijec...
Abstract. On a smooth manifold M, the vector bundle structures of the second order tangent bundle, T...
Ambrose, Palais and Singer introduced the concept of second order structures on finite dimensional m...
Some recent work in Frechet geometry is briefly reviewed. In particular an earlier result on the str...
The vector bundle structure obtained on the second order (acceleration) tangent bundle T^2M of a smo...
Some recent work in Fréchet geometry is briefly reviewed. In particular an earlier result on the st...
On a smooth Banach manifold M,$the equivalence classes of curves that agree up to acceleration form ...
On a smooth Banach manifold M, the equivalence classes of curves that agree up to acceleration form ...
The second order tangent bundle T^2M of a smooth manifold M consists of the equivalence classes of c...
In this paper we develop the geometry of bounded Fr\'echet manifolds. We prove that a bounded Fr\'ec...
For Frechet manifolds by using sprays, we construct connection maps, linear symmetric connections on...
The theory of connections is central not only in pure mathematics (differential and algebraic geomet...
Many geometrical features of manifolds and fibre bundles modelled on Fréchet spaces either cannot be...
summary:The geometry of second-order systems of ordinary differential equations represented by $2$-c...
summary:All natural operations transforming linear connections on the tangent bundle of a fibred man...