2- II Inégalités fortes de Morse
2 Inégalités de Morse d'après E. Witten
4-dimensional anti-Kähler manifolds and Weyl curvature
On a 4-dimensional anti-Kähler manifold, its zero scalar curvature implies that its Weyl curvature vanishes and vice versa. In particular any 4-dimensional anti-Kähler manifold with zero scalar curvature is flat.
A brief introduction to the monopole
A brief review of supersymmetric non-linear sigma models and generalized complex geometry
This is a review of the relation between supersymmetric non-linear sigma models and target space geometry. In particular, we report on the derivation of generalized Kähler geometry from sigma models with additional spinorial superfields. Some of the results reviewed are: Generalized complex geometry from sigma models in the Lagrangian formulation; Coordinatization of generalized Kähler geometry in terms of chiral, twisted chiral and semi-chiral superfields; Generalized Kähler geometry from sigma...
A gauge theoretical approach to space-time structures
A geometrical analysis of the field equations in field theory.
A journey between two curves.
A monotonicity formula for Yang-Mills Fields.
A note on proper conformal vector fields in Bianchi type I space-times.
A priori estimates in geometry and Sobolev spaces on open manifolds
Introduction. For bounded domains in satisfying the cone condition there are many embedding and module structure theorem for Sobolev spaces which are of great importance in solving partial differential equations. Unfortunately, most of them are wrong on arbitrary unbounded domains or on open manifolds. On the other hand, just these theorems play a decisive role in foundations of nonlinear analysis on open manifolds and in solving partial differential equations. This was pointed out by the author...
A quantization for Kähler fields in static space-times
A Riemann-Lagrange geometrization for metrical multi-time Lagrange spaces.
A smooth gauge model on tangent bundle.
A stable class of spacetimes with naked singularities
We present a stable class of spacetimes which satisfy the conditions of the singularity theorem of Hawking & Penrose (1970), and which contain naked singularities. This offers counterexamples to a geometric version of the strong cosmic censorship hypothesis.
A survey on the Hawking – Penrose theory
About almost symplectic structures on the total space of the tangent bundle.
Automorphism Groups of Classical Mechanical Systems.
Chern-Simons terms as an example of the relations between mathematics and physics
Classical limit of a quantum particle in an external Yang-Mills field