The Cauchy problem for Lorentz metrics with prescribed Ricci curvature
The cohomology groups
The Gap Phenomena of Yang-Mills Fields over the Complete Manifold.
The geometrical interpretation of temporal cone norm in almost Minkowski manifold.
The geometry of autonomous metrical multi-time Lagrange space of electrodynamics.
The graded differential geometry of mixed symmetry tensors
We show how the theory of -manifolds - which are a non-trivial generalisation of supermanifolds - may be useful in a geometrical approach to mixed symmetry tensors such as the dual graviton. The geometric aspects of such tensor fields on both flat and curved space-times are discussed.
The group structure of supergravity
The intrinsic torsion of almost quaternion-Hermitian manifolds
We study the intrinsic torsion of almost quaternion-Hermitian manifolds via the exterior algebra. In particular, we show how it is determined by particular three-forms formed from simple combinations of the exterior derivatives of the local Kähler forms. This gives a practical method to compute the intrinsic torsion and is applied in a number of examples. In addition we find simple characterisations of HKT and QKT geometries entirely in the exterior algebra and compute how the intrinsic torsion...
The null condition and global existence for nonlinear wave equations on slowly rotating Kerr spacetimes
We study a semilinear equation with derivatives satisfying a null condition on slowly rotating Kerr spacetimes. We prove that given sufficiently small initial data, the solution exists globally in time and decays with a quantitative rate to the trivial solution. The proof uses the robust vector field method. It makes use of the decay properties of the linear wave equation on Kerr spacetime, in particular the improved decay rates in the region .
The structure of the space of solutions of Einstein's equations. I. One Killing field
The theory of Kaluza-Klein-Jordan-Thiry revisited
The topology of the Yang-Mills theory over torus
Théorèmes de masse positive
Théorie classique des champs en interaction : théorie de jauge et interprétation géométrique
Topological charges and high dimensional instantons
Topological quantum field theory
Totally singular Lagrangians and affine Hamiltonians.
Twistors and gauge fields.
Two supergeometries from fourfold gradings of superalgebras