Deformation of submanifolds of real projective space

Kichoon Yang

Vol. 120 (1985), No. 2, 469–492

DOI: 10.2140/pjm.1985.120.469

Abstract

We prove that two surfaces in RP³ are projective deformations of each other (in the sense of E. Cartan) if and only if their induced projective structures are equivalent with respect to the Frenet framing. This result gives a projective generalization of molding surfaces.

Mathematical Subject Classification 2000

Primary: 53C40

Secondary: 53B10, 58A15

Milestones

Received: 10 January 1984

Revised: 29 May 1984

Published: 1 December 1985