Sökning: "Maslov index"
Hittade 2 avhandlingar innehållade orden Maslov index.
1. Multi-oriented Symplectic Geometry and the Extension of Path Intersection Indices
Sammanfattning : Symplectic geometry can be traced back to Lagrange and his work on celestial mechanics and has since then been a very active field in mathematics, partly because of the applications it offers but also because of the beauty of the objects it deals with.I this thesis we begin by the simplest fact of symplectic geometry. LÄS MER
2. Arnold-type invariants of curves and wave fronts on surfaces
Sammanfattning : This thesis is devoted to the study of invariants of generic curves and wave fronts on surfaces. The invariants J± and St were axiomatically defined by Arnold as numerical characteristics of generic curves (immersions of the circle)on ℝ2 he introduced J± in the case of generic planar wave fronts. LÄS MER