26 citations · 158 across the 39 of their papers we have counts for
6 papers · 1 filter
How Many Structure Constants Do Exist in Riemannian Geometry
J. -F. Pommaret
After reading such a question, any mathematician will say that, according to a well known result of L.P. Eisenhart found in 1926, the answer is " One " of course, namely the only c…
Generating Compatibility Conditions in Mathematical Physics
Jean-Francois Pommaret
The search for generating compatibility conditions (CC) for a given operator is a very recent problem met in General Relativity in order to study the Killing operator for various s…
Computer Algebra and Lanczos Potential
J. -F. Pommaret
We found in 2016 a few results on the mathematical structure of the conformal Killing differential sequence in arbitrary dimension , in particular the rank and order changes of…
Differential galois theory and mechanics
Jean-François Pommaret
The classical Galois theory deals with certain finite algebraic extensions and establishes a bijective order reversing correspondence between the intermediate fields and the subgro…
Bianchi identities for the Riemann and Weyl tensors
Jean-François Pommaret
The purpose of this paper is to revisit the Bianchi identities existing for the Riemann and Weyl tensors in the combined framework of the formal theory of systems of partial differ…
Clausius/Cosserat/Maxwell/Weyl Equations: The Virial Theorem Revisited
Jean-François Pommaret
In 1870, R. Clausius found the virial theorem which amounts to introduce the trace of the stress tensor when studying the foundations of thermodynamics, as a way to relate the abso…