Conditions de compatibilité pour une hypersurface singulière en mécanique relativiste des milieux continus
Conditions d’unicité pour le propagateur du champ scalaire dans l’univers de de Sitter
Conditions for invariant submanifold of a manifold with the (fi, psi, eta, G)-structure
Conditions for the algebraic determination of the metric from the curvature.
Conditions on the conharmonic curvature tensor of Kähler hypersurfaces in complex space forms.
Conformal and Isometric Immersions of Riemannian Manifolds.
Conformal connections on Lyra manifolds.
Conformal field theory
Conformal ℱ-harmonic maps for Finsler manifolds
By introducing the ℱ-stress energy tensor of maps from an n-dimensional Finsler manifold to a Finsler manifold and assuming that (n-2)ℱ(t)'- 2tℱ(t)'' ≠ 0 for any t ∈ [0,∞), we prove that any conformal strongly ℱ-harmonic map must be homothetic. This assertion generalizes the results by He and Shen for harmonics map and by Ara for the Riemannian case.
Conformal nullity of isotropic submanifolds
We introduce and study submanifolds with extrinsic curvature and second fundamental form related by an inequality that holds for isotropic submanifolds and becomes equality for totally umbilical submanifolds. The dimension of umbilical subspaces and the index of conformal nullity of these submanifolds with low codimension are estimated from below. The corollaries are characterizations of extrinsic spheres in Riemannian spaces of positive curvature.
Conformal powers of the Laplacian via stereographic projection.
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.
Conformal vector fields on tangent bundle of Finsler manifolds.
Conformally closed Finsler spaces.
Conformally covariant field equations
Conformally flat submanifolds
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 symmetric spaces admitting special quadratic first integrals