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Differential Invariants of Conformal and Projective Surfaces

Abstract : We show that, for both the conformal and projective groups, all the differential invariants of a generic surface in three-dimensional space can be written as combinations of the invariant derivatives of a single differential invariant. The proof is based on the equivariant method of moving frames.
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Contributor : Evelyne Hubert <>
Submitted on : Tuesday, December 18, 2007 - 9:50:29 AM
Last modification on : Wednesday, August 7, 2019 - 3:34:13 PM


  • HAL Id : inria-00198876, version 1



Evelyne Hubert, Peter Olver. Differential Invariants of Conformal and Projective Surfaces. Symmetry, Integrability and Geometry : Methods and Applications, National Academy of Science of Ukraine, 2007, Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson, 3, pp.097. ⟨inria-00198876⟩