18 citations · 42 across the 14 of their papers we have counts for
15 papers
An introduction to supermanifolds and supersymmetry
Frederic Helein
The aim of these notes (which were partially covered in lectures given at the Peyresq Summer School on 17--22 June, 2002) is to give an introduction to some mathematical aspects of…
Curved space-times by crystallization of liquid fiber bundles
Frédéric Hélein, Dimitri Vey
Motivated by the search for a Hamiltonian formulation of Einstein equations of gravity which depends in a minimal way on choices of coordinates, nor on a choice of gauge, we develo…
Manifolds obtained by soldering together points, lines, etc
Frédéric Hélein
This text is the extended version of a talk given at the conference Geometry, Topology, QFT and Cosmology hold from May 28 to May 30, 2008 at the Observatoire de Paris. We explore…
Some examples of `second order elliptic integrable systems associated to a 4-symmetric space'
Frédéric Hélein
In this text we expound recent results by Idrisse Khemar on the construction of various geometric completely integrable systems generalizing the structure of Hamiltonian stationary…
A representation formula for maps on supermanifolds
Frédéric Hélein
In this paper we analyze the notion of morphisms of rings of superfunctions which is the basic concept underlying the definition of supermanifolds as ringed spaces (i.e. following…
Covariant Hamiltonian formalism for the calculus of variations with several variables: Lepage--Dedecker versus de Donder--Weyl
Frederic Helein, Joseph Kouneiher
The main purpose in the present paper is to build a Hamiltonian theory for fields which is consistent with the principles of relativity. For this we consider detailed geometric pic…