Canonical forms for -structures in pseudo-riemannian manifolds
Circles and spheres in pseudo-Riemannian geometry.
Closed conformal vector fields on pseudo-Riemannian manifolds.
Codimension reduction for real submanifolds of a complex hyperbolic space.
We study real submanifolds of a complex hyperbolic space and prove a codimension reduction theorem.
Compact space-like submanifolds with parallel mean curvature vector of a pseudo-Riemannian space
Complex Analysis, Maximal Immersions and Metric Singularities.
Complex IP pseudo-Riemannian algebraic curvature tensors
Conformal structures associated to generic rank 2 distributions on 5-manifolds -- characterization and Killing-field decomposition.
Conformal transformations in superspace
Conformal vector fields in symmetric and conformal symmetric spaces.
Conformally geodesic mappings satisfying a certain initial condition
In this paper we study conformally geodesic mappings between pseudo-Riemannian manifolds and , i.e. mappings satisfying , where are conformal mappings and is a geodesic mapping. Suppose that the initial condition is satisfied at a point and that at this point the conformal Weyl tensor does not vanish. We prove that then is necessarily conformal.
Connessioni adattate ad un Riferimento in Relatività Generale
I vari metodi di definire connessioni adattate ad un Riferimento fisico vengono qui ricondotti ad un unico formalismo. Viene inoltre introdotta la nozione generale di campo gravitazionale affine adattato (sia al Riferimento che alla connessione).
Covariant decompositions of symmetric tensors in the theory of gravitation
Curvature homogeneity of affine connections on two-dimensional manifolds
Curvature homogeneity of (torsion-free) affine connections on manifolds is an adaptation of a concept introduced by I. M. Singer. We analyze completely the relationship between curvature homogeneity of higher order and local homogeneity on two-dimensional manifolds.
Curvature properties of φ-null Osserman Lorentzian S-manifolds
We expound some results about the relationships between the Jacobi operators with respect to null vectors on a Lorentzian S-manifold and the Jacobi operators with respect to particular spacelike unit vectors. We study the number of the eigenvalues of such operators on Lorentzian S-manifolds satisfying the φ-null Osserman condition, under suitable assumptions on the dimension of the manifold. Then, we provide in full generality a new curvature characterization for Lorentzian S-manifolds and we use...
Curves and surfaces in hyperbolic space
In the first part (Sections 2 and 3), we give a survey of the recent results on application of singularity theory for curves and surfaces in hyperbolic space. After that we define the hyperbolic canal surface of a hyperbolic space curve and apply the results of the first part to get some geometric relations between the hyperbolic canal surface and the centre curve.
Curves in the lightlike cone.
Determination of surfaces in three-dimensional Minkowski and Euclidean spaces based on solutions of the sinh-Laplace equation.
Differential equations on contact riemannian manifolds
Differential operators cononically associated to a conformal structure.