-metrische Zusammenhänge in isotropen Mannigfaltigkeiten. (- metric connections in isotropic manifolds).
Scalar curvature on lightlike hypersurfaces.
Scalar differential concomitants of first order of a symmetric connexion in the two-dimensional space and their applications
Schéma géométrique à tenseur impulsion-énergie asymétrique. Application à l'étude relativiste de la matière à spin
Screen conformal half-lightlike submanifolds.
Screen transversal lightlike submanifolds of indefinite cosymplectic manifolds
Second order parallel tensor in real and complex space forms.
Seiberg-Witten Theory
We give an introduction into and exposition of Seiberg-Witten theory.
Selfdual Einstein hermitian four-manifolds
We provide a local classification of selfdual Einstein riemannian four-manifolds admitting a positively oriented hermitian structure and characterize those which carry a hyperhermitian, non-hyperkähler structure compatible with the negative orientation. We show that selfdual Einstein 4-manifolds obtained as quaternionic quotients of and are hermitian.
Selfdual spaces with complex structures, Einstein-Weyl geometry and geodesics
We study the Jones and Tod correspondence between selfdual conformal -manifolds with a conformal vector field and abelian monopoles on Einstein-Weyl -manifolds, and prove that invariant complex structures correspond to shear-free geodesic congruences. Such congruences exist in abundance and so provide a tool for constructing interesting selfdual geometries with symmetry, unifying the theories of scalar-flat Kähler metrics and hypercomplex structures with symmetry. We also show that in the presence...
Self-duality and pointwise Osserman manifolds
This paper is a contribution to the mathematical modelling of the hump effect. We present a mathematical study (existence, homogenization) of a Hamilton-Jacobi problem which represents the propagation of a front flame in a striated media.
Semigroups in the simply connected covering of SL(2).
Semi-invariant submanifolds of a Lorentzian para-Sasakian manifold.
Semiparallel isometric immersions of 3-dimensional semisymmetric Riemannian manifolds
A Riemannian manifold is said to be semisymmetric if . A submanifold of Euclidean space which satisfies is called semiparallel. It is known that semiparallel submanifolds are intrinsically semisymmetric. But can every semisymmetric manifold be immersed isometrically as a semiparallel submanifold? This problem has been solved up to now only for the dimension 2, when the answer is affirmative for the positive Gaussian curvature. Among semisymmetric manifolds a special role is played by the foliated...
Semi-parallel Lightlike Hypersurfaces of Indefinite Cosymplectic Space Forms
Semi-riemannian Manifolds Whose Weyl Tensor is a Kulkarni--nomizu Square
Semi-Riemannian manifolds whose Weyl tensor is a Kulkarni-Nomizu square.
Semi-symmetric -spaces
We determine explicitly the local structure of a semi-symmetric -space.
Semisymmetry and Ricci-symmetry for Hypersurfaces of Semi-euclidean Spaces
Several cohomology algebras connected with Poisson structure.