4 papers
Local connection forms revisited
Efstathios Vassiliou
Local connection forms provide a very useful tool for handling connections on principal bundles, because they ignore any complexities of the total space and, essentially, involve o…
Grassmann sheaves and the classification of vector sheaves
M. Papatriantafillou, E. Vassiliou
Given a sheaf of unital commutative and associative algebras A, first we construct the k-th Grassmann sheaf G_A(k,n) of A^n whose sections induce vector subsheaves of A^n of rank k…
A Floquet-Liapunov theorem in Frechet spaces
G. Galanis, E. Vassiliou
In this paper we prove a variation of the theorem in title, for equations with periodic coefficients, in Frechet spaces. The main result gives equivalent conditions ensuring the re…
Vector Sheaves Associated with Principal Sheaves
E. Vassiliou
In the framework of Abstract Differential Geometry, we show that to a given principal sheaf and a representation of its stuctural sheaf in , where A is a sheaf of associative,…