Axiomatic approach to perturbative quantum field theory
Black holes in higher dimensions.
Blow-up for solutions of hyperbolic PDE and spacetime singularities
An important question in mathematical relativity theory is that of the nature of spacetime singularities. The equations of general relativity, the Einstein equations, are essentially hyperbolic in nature and the study of spacetime singularities is naturally related to blow-up phenomena for nonlinear hyperbolic systems. These connections are explained and recent progress in applying the theory of hyperbolic equations in this field is presented. A direction which has turned out to be fruitful is that...
Boundary conditions for the Einstein-Christoffel formulation of Einstein's equations.
Braided Groups
Brief comments on the Note «Qualche osservazione sulle forze centrali in Relatività Ristretta» of Luigi Stazi
The central «pseudopotentials» yielding, in relativistic mechanics, closed (bounded) orbits for any given energy are derived by inspection (of the algebraic form of the hamiltonian).
By Magri's theorem, self-dual gravity is completely integrable.
Canonical forms for separability structures with less than five Killing tensors
Cauchy data on a manifold
Champs de spin et relativité générale
Chandrasekhar ansatz and the generalized total angular momentum operator for the Dirac equation in the Kerr-Newman metric.
Characteristic evolution and matching.
Classification of cylindrically symmetric static space-times according to their proper homothetic vector fields.
Classification of relative minima singularities
Clifford fibrations and possible kinematics.
Compact spacelike hypersurfaces with constant mean curvature in the anti de Sitter space.
Complete classification of spatial surfaces with parallel mean curvature vector in arbitrary non-flat pseudo-Riemannian space forms
Submanifolds with parallel mean curvature vector play important roles in differential geometry, theory of harmonic maps as well as in physics. Spatial surfaces in 4D Lorentzian space forms with parallel mean curvature vector were classified by B. Y. Chen and J. Van der Veken in [9]. Recently, spatial surfaces with parallel mean curvature vector in arbitrary pseudo-Euclidean spaces are also classified in [7]. In this article, we classify spatial surfaces with parallel mean curvature vector in pseudo-Riemannian...
Complete solution of Hadamard's problem for the scalar wave equation on Petrov type III space-times
Complex Lagrange spaces.
Conal orders on homogeneous spaces.