Scale symmetry and virial theorem
Screen transversal lightlike submanifolds of indefinite Sasakian manifolds.
Second et troisième espaces de cohomologie différentiable de l'algèbre de Lie de Poisson d'une variété symplectique
Semi-invariant submanifolds of Riemannian product manifold.
Semi-slant Riemannian maps into almost Hermitian manifolds
We introduce semi-slant Riemannian maps from Riemannian manifolds to almost Hermitian manifolds as a generalization of semi-slant immersions, invariant Riemannian maps, anti-invariant Riemannian maps and slant Riemannian maps. We obtain characterizations, investigate the harmonicity of such maps and find necessary and sufficient conditions for semi-slant Riemannian maps to be totally geodesic. Then we relate the notion of semi-slant Riemannian maps to the notion of pseudo-horizontally weakly conformal...
Simultaneous integrability of an almost complex and an almost tangent structure
Simultaneous integrability of two -related almost tangent structures
Singular Moment Maps and Quaternionic Geometry
Singular reduction of generalized complex manifolds.
Singularités génériques en géométrie de contact
Skew semi-invariant submanifolds of a locally product manifold.
Skew-symmetric vector fields on a CR-submanifold of a para-Kählerian manifold.
Slant and pseudo-slant submanifolds in -manifolds
We show new results on when a pseudo-slant submanifold is a LCS-manifold. Necessary and sufficient conditions for a submanifold to be pseudo-slant are given. We obtain necessary and sufficient conditions for the integrability of distributions which are involved in the definition of the pseudo-slant submanifold. We characterize the pseudo-slant product and give necessary and sufficient conditions for a pseudo-slant submanifold to be the pseudo-slant product. Also we give an example of a slant submanifold...
Slant lightlike submanifolds of indefinite Hermitian manifolds.
Slant surfaces of codimension two
Solutions asymptotiques et groupe symplectique
Solving non-holonomic Lagrangian dynamics in terms of almost product structures.
Given a Lagrangian system with non-holonomic constraints we construct an almost product structure on the tangent bundle of the configuration manifold such that the projection of the Euler-Lagrange vector field gives the dynamics of the system. In a degenerate case, we develop a constraint algorithm which determines a final constraint submanifold where a completely consistent dynamics of the initial system exists.
Some affine properties of the -symplectic manifolds.
Some Classes of Lorentzian -Sasakian Manifolds Admitting a Quarter-symmetric Metric Connection
The object of the present paper is to study a quarter-symmetric metric connection in an Lorentzian -Sasakian manifold. We study some curvature properties of an Lorentzian -Sasakian manifold with respect to the quarter-symmetric metric connection. We study locally -symmetric, -symmetric, locally projective -symmetric, -projectively flat Lorentzian -Sasakian manifold with respect to the quarter-symmetric metric connection.
Some critical almost Kähler structures
We consider the set of all almost Kähler structures (g,J) on a 2n-dimensional compact orientable manifold M and study a critical point of the functional with respect to the scalar curvature τ and the *-scalar curvature τ*. We show that an almost Kähler structure (J,g) is a critical point of if and only if (J,g) is a Kähler structure on M.