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
Cartan geometry, supergravity and group manifold approach
We make a case for the unique relevance of Cartan geometry for gauge theories of gravity and supergravity. We introduce our discussion by recapitulating historical threads, providing motivations. In a first part we review the geometry of classical gauge theory, as a background for understanding gauge theories of gravity in terms of Cartan geometry. The second part introduces the basics of the group manifold approach to supergravity, hinting at the deep rooted connections to Cartan supergeometry....
Cauchy data on a manifold
Cauchy's problem for Bach's equations of general relativity.
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.
Characterizing the conformality in a Minkowski space
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.
Computational cosmology: From the early universe to the large scale structure.
Conal orders on homogeneous spaces.