Spingroups and spherical means III
Spinor equations in Weyl geometry
This paper deals with Dirac, twistor and Killing equations on Weyl manifolds with -spin structures. A conformal Schrödinger-Lichnerowicz formula is presented and used to derive integrability conditions for these equations. It is shown that the only non-closed Weyl manifolds of dimension greater than 3 that admit solutions of the real Killing equation are 4-dimensional and non-compact. Any Weyl manifold of dimension greater than 3, that admits a real Killing spinor has to be Einstein-Weyl.
Spinorial matter and general relativity theory
Split octonions and generic rank two distributions in dimension five
In his famous five variables paper Elie Cartan showed that one can canonically associate to a generic rank 2 distribution on a 5 dimensional manifold a Cartan geometry modeled on the homogeneous space , where is one of the maximal parabolic subgroups of the exceptional Lie group . In this article, we use the algebra of split octonions to give an explicit global description of the distribution corresponding to the homogeneous model.
Splitting the spectral flow and the Alexander matrix.
Splitting theorems for the double tangent bundles of Fréchet manifolds.
Square integrability of group representations on homogeneous spaces and generalized coherent states
Stabilität mehrfach zusammenhängender Minimalflächen.
Stabilité de l'inégalité de Faber-Krahn en courbure de Ricci positive
P. Bérard et D. Meyer ont démontré une inégalité du type Faber-Krahn pour les domaines d'une variété compacte à courbure de Ricci positive. Nous démontrons des résultats de stabilité associés à cette inégalité.
Stabilité des applications différentiables
Stabilité simultanée de deux fonctions différentiables
Nous caractérisons les couples de fonctions différentiables , définies sur une variété compacte de dimension , qui sont simultanément stables en ce sens que, pour tout couple assez voisin, il existe un difféomorphisme de et deux difféomorphismes et de tels que et échangent et alors que et échangent et . L’outil essentiel est une technique de résolution des équations du type où les inconnues et sont des fonctions de classe .
Stabilities of F-Yang-Mills fields on submanifolds
In this paper, we define an -Yang-Mills functional, and hence -Yang-Mills fields. The first and the second variational formulas are calculated, and the stabilities of -Yang-Mills fields on some submanifolds of the Euclidean spaces and the spheres are investigated, and hence the theories of Yang-Mills fields are generalized in this paper.
Stability and Uniqueness Properties of the Equator Map from a Ball into an Ellipsoid.
Stability, complex-analyticity and constancy of pluriharmonic maps from compact Kaehler manifolds.
Stability modulo singular sets
A new concept of stability, closely related to that of structural stability, is introduced and applied to the study of C¹ endomorphisms with singularities. A map that is stable in this sense is conjugate to each perturbation that is equivalent to it in a geometric sense. It is shown that this kind of stability implies Axiom A and Ω-stability, and that every critical point is wandering. A partial converse is also shown, providing new examples of C³ structurally stable maps.
Stability of Caustics.
Stability of certain Engel-like distributions
We introduce a higher dimensional analogue of the Engel structure, motivated by the Cartan prolongation of contact manifolds. We study the stability of such structure, generalizing the Gray-type stability results for Engel manifolds. We also derive local normal forms defining such a distribution.
Stability of closed characteristics on compact convex hypersurfaces in
Stability of Critical Points under Small Perturbations. Part II: Analytic Theory.
Stability of Critical Points under Small Perturbations. Part I: Topological Theory.