CRITICAL POINTS OF FUNCTIONS ON A MANIFOLD WITH BOUNDARY, THE SIMPLE LIE GROUPSBk,Ck, ANDF₄AND SINGULARITIES OF EVOLUTES

ContentsIntroduction § 1. Classification of simple critical points of functions on the boundary of a manifold § 2. Versal deformations and bifurcation diagrams § 3. Vanishing cycles and half-cycles § 4. The form of intersections § 5. The monodromy group § 6. Elliptic singularities § 7. Classification of singularities § 8. The determinant of singularities § 9. Some corollaries § 10. Singularities of a family of evolutesReferences