Sur l'existence locale d'immersions à courbure scalaire donnée. II. Le casdifferentiable.
Sur quelques univers dont l'espace est localement symétrique
Sur une classe de variétés pseudo-isotropes
Sur une nouvelle expression de la solution générale des équations d'Einstein avec champ de Maxwell non singulier, aligné, sans source et avec constante cosmologique, en type D
Surfaces in hermitian 3-spaces
Surfaces of Constant Curvature and Geometric Interpretations of the Klein-gordon, Sine-gordon and Sinh-gordon Equations
Surfaces with Parallel Normalized Mean Curvature Vector.
Symmetrie Submanifolds of Riemannian Manifolds.
Symmetrization of starlike domains in Riemannian manifolds and a qualitative generalization of Bishop's volume comparison theorem.
Symmetry and minimality properties for generalized ruled submanifolds
Symmetry problems 2
Some symmetry problems are formulated and solved. New simple proofs are given for some symmetry problems studied earlier. One of the results is as follows: if a single-layer potential of a surface, homeomorphic to a sphere, with a constant charge density, is equal to c/|x| for all sufficiently large |x|, where c > 0 is a constant, then the surface is a sphere.
Symplectic applicability of Lagrangian surfaces.
Synge-Beil and Riemann-Jacobi jet structures with applications to physics.
Systems of rays in the presence of distribution of hyperplanes
Horizontal systems of rays arise in the study of integral curves of Hamiltonian systems on T*X, which are tangent to a given distribution V of hyperplanes on X. We investigate the local properties of systems of rays for general pairs (H,V) as well as for Hamiltonians H such that the corresponding Hamiltonian vector fields are horizontal with respect to V. As an example we explicitly calculate the space of horizontal geodesics and the corresponding systems of rays for the canonical distribution...
Tangent Lie algebras to the holonomy group of a Finsler manifold
Our goal in this paper is to make an attempt to find the largest Lie algebra of vector fields on the indicatrix such that all its elements are tangent to the holonomy group of a Finsler manifold. First, we introduce the notion of the curvature algebra, generated by curvature vector fields, then we define the infinitesimal holonomy algebra by the smallest Lie algebra of vector fields on an indicatrix, containing the curvature vector fields and their horizontal covariant derivatives with respect to...
Tangent Lines and Lipschitz Differentiability Spaces
We study the existence of tangent lines, i.e. subsets of the tangent space isometric to the real line, in tangent spaces of metric spaces.We first revisit the almost everywhere metric differentiability of Lipschitz continuous curves. We then show that any blow-up done at a point of metric differentiability and of density one for the domain of the curve gives a tangent line. Metric differentiability enjoys a Borel measurability property and this will permit us to use it in the framework of Lipschitz...
Tensor and spinor equivalence on generalized metric tangent bundles.
Tensor approach to multidimensional webs
An anholonomic -web of dimension is considered as an -tuple of -dimensional distributions in general position. We investigate a family of -tensor fields (projectors and nilpotents associated with a web in a natural way) which will be used for characterization of all linear connections on a manifold preserving the given web.
Tensor product surfaces of a Euclidean space curve and a Euclidean plane curve.
Tensor-invariants of submanifolds