7 citations · 9 across the 6 of their papers we have counts for
6 papers
On the local equivalence of partial differential equations
A. Kumpera
In all the practical applications of partial differential equations, what is mostly needed and what is in fact hardest to obtains are the solutions of the system or, occasionally,…
Group invariance of integrable Pfaffian systems
A. Kumpera
Let be an integrable Pfaffian system. If it is invariant under a transversally free infinitesimal action of a finite dimensional real Lie algebra and consequently…
Non-Integrable Pfaffian Systems
A. Kumpera
We discuss a recurrent geometrical method, due to Élie Cartan and von Weber ([1],[11]) enabling us to determine, step by step, the maximal integral manifolds of a not necessarily i…
On The Equivalence Problem for Geometric Structures, II
Antonio Kumpera
This paper is a continuation of Part I where the general setup was developed. Here we discuss the general equivalence problem for geometric structures and provide criteria for the…
On The Equivalence Problem for Geometric Structures, I
Antonio Kumpera
We discuss the local and global problems for the equivalence of geometric structures of an arbitrary order and, in later sections, attention is given to what really matters, namely…
Automorphisms of Flag Systems
A. Kumpera
We first discuss the problems in the theory of ordinary differential equations that gave rise to the concept of a flag system and illustrate these with the Cartan criterion for Mon…