Seiberg Witten invariants and uniformizations.
Seiberg-Witten invariants and pseudo-holomorphic subvarieties for self-dual, harmonic 2-forms.
Seiberg-Witten Theory
We give an introduction into and exposition of Seiberg-Witten theory.
Selection Rules for Topology Change
Self-Adjointness of Powers of Elliptic Operators on Non-Compact Manifolds.
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.
Self-dual Kähler manifolds and Einstein manifolds of dimension four
Self-dual magnetic monopoles and generalizations of holomorphic functions
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.
Self-duality of Kähler surfaces
Self-intersection Points in classical area-minimizing surfaces.
Self-parallel curves.
Self-similar periodic tilings on the Heisenberg group.
Self-Similarity of Poisson structures on tori
We study the group of diffeomorphisms of a 3-dimensional Poisson torus which preserve the Poisson structure up to a constant multiplier, and the group of similarity ratios.
Self-similarly expanding networks to curve shortening flow
We consider a network in the Euclidean plane that consists of three distinct half-lines with common start points. From that network as initial condition, there exists a network that consists of three curves that all start at one point, where they form degree angles, and expands homothetically under curve shortening flow. We also prove uniqueness of these networks.
Semicanonical moving frame of the hypersurface in a unimodular 4-dimensional affine space
Semiconcavity results for optimal control problems admitting no singular minimizing controls
Semi-groupe de Lie associé à un cône symétrique
Soit une algèbre de Jordan simple euclidienne de dimension finie et le cône symétrique associé. Nous étudions dans cet article le semi-groupe , naturellement associé à , formé des automorphismes holomorphes du domaine tube qui appliquent le cône dans lui-même.
Semi-groupes de Feller invariants sur les espaces hyperboliques