PROJECTIVE DIFFERENTIAL GEOMETRY OF CURVES AND SURFACES

By SUSAN SANCHEZ

1 INTRODUCTION 2 GEOMETRY OF PROJECTIVE LINE 3 ALGEBRA OF PROJECTIVE LINE AND COHOMOLOGY OF DI (S1) 4 VERTICES OF PROJECTIVE CURVES 5 PROJECTIVE INVARIANTS OF SUBMANIFOLDS 6 PROJECTIVE STRUCTURES ON SMOOTH MANIFOLDS 7 MULTI-DIMENSIONAL SCHWARZIAN DERIVATIVES AND DIFFERENTIAL OPERATORS