Certain property of the Ricci tensor on Sasakian manifolds
Compatible flat metrics.
Complex structures on tangent bundles of Riemannian manifolds.
Conditions de compatibilité pour une hypersurface singulière en mécanique relativiste des milieux continus
Conformal connections on Lyra manifolds.
Conformal powers of the Laplacian via stereographic projection.
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
Contact homogeneity and envelopes of Riemannian metrics.
Contact transformation of a presymplectic form with quasi-Sasakian structure.
Coordonnées polaires sur les surfaces riemanniennes singulières
Nous étudions les conditions sous lesquelles un point d’une surface riemannienne possède un voisinage pouvant être paramétrisé par des coordonnées polaires. Le point en question peut être un point régulier ou un point singulier conique. Nous étudions aussi la régularité de ces coordonnées polaires en fonction de la régularité de la courbure.
Covariant decompositions of symmetric tensors in the theory of gravitation
Curvature and torsion formulas for conflict sets
Conflict set are the points at equal distance from a number of manifolds. Known results on the differential geometry of these sets are generalized and extended.
Curvature conditions on hypersurfaces with two distinct principal curvatures
We investigate curvature properties of hypersurfaces in semi-Riemannian spaces of constant curvature with the minimal polynomial of the second fundamental tensor of second degree. We present suitable examples of hypersurfaces.
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 homogeneous spaces whose curvature tensors have large symmetries
We study curvature homogeneous spaces or locally homogeneous spaces whose curvature tensors are invariant by the action of “large" Lie subalgebras of . In this paper we deal with the cases of
Curvature identifies on Hermite manifolds
Curvature tensors of complex and double-quadratic elliptic spaces.
Cyclic structures of geometric objects involving a connection and Lie derivatives