Conformal transformation, conformal change, and conformal covariants
Conformal transformations in superspace
Conformal vector fields in symmetric and conformal symmetric spaces.
Conformal vector fields on Finsler manifolds
Applying concepts and tools from classical tangent bundle geometry and using the apparatus of the calculus along the tangent bundle projection (‘pull-back formalism’), first we enrich the known lists of the characterizations of affine vector fields on a spray manifold and conformal vector fields on a Finsler manifold. Second, we deduce consequences on vector fields on the underlying manifold of a Finsler structure having one or two of the mentioned geometric properties.
Conformal vector fields on tangent bundle of Finsler manifolds.
Conformality and Pseudo-Riemannian Manifolds.
Conformally Anosov flows in contact metric geometry.
Conformally bending three-manifolds with boundary
Given a three-dimensional manifold with boundary, the Cartan-Hadamard theorem implies that there are obstructions to filling the interior of the manifold with a complete metric of negative curvature. In this paper, we show that any three-dimensional manifold with boundary can be filled conformally with a complete metric satisfying a pinching condition: given any small constant, the ratio of the largest sectional curvature to (the absolute value of) the scalar curvature is less than this constant....
Conformally closed Finsler spaces.
Conformally covariant field equations
Conformally equivariant quantization : existence and uniqueness
We prove the existence and the uniqueness of a conformally equivariant symbol calculus and quantization on any conformally flat pseudo-riemannian manifold . In other words, we establish a canonical isomorphism between the spaces of polynomials on and of differential operators on tensor densities over , both viewed as modules over the Lie algebra where . This quantization exists for generic values of the weights of the tensor densities and we compute the critical values of the weights yielding...
Conformally flat contact metric manifolds with .
Conformally flat Lorentzian three-spaces with various properties of symmetry and homogeneity
We study conformally flat Lorentzian three-manifolds which are either semi-symmetric or pseudo-symmetric. Their complete classification is obtained under hypotheses of local homogeneity and curvature homogeneity. Moreover, examples which are not curvature homogeneous are described.
Conformally flat manifolds, Kleinian groups and scalar curvature.
Conformally flat pseudo-symmetric spaces of constant type
We give the complete classification of conformally flat pseudo-symmetric spaces of constant type.
Conformally flat semi-symmetric spaces
We obtain the complete classification of conformally flat semi-symmetric spaces.
Conformally flat submanifolds
Conformally Flat Submanifolds of Euclidean Space.
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.
Conformally invariant wave equations in -de Sitter linear gravity