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This article is cited in 21 scientific papers (total in 21 papers)
Differential Invariants of Conformal and Projective Surfaces
Evelyne Huberta, Peter J. Olverb a INRIA, 06902 Sophia Antipolis, France
b School of Mathematics, University of Minnesota, Minneapolis 55455, USA
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.
Keywords:
conformal differential geometry; projective differential geometry; differential invariants; moving frame; syzygy; differential algebra.
Received: August 15, 2007; in final form September 24, 2007; Published online October 2, 2007
Citation:
Evelyne Hubert, Peter J. Olver, “Differential Invariants of Conformal and Projective Surfaces”, SIGMA, 3 (2007), 097, 15 pp.
Linking options:
https://www.mathnet.ru/eng/sigma223 https://www.mathnet.ru/eng/sigma/v3/p97
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Abstract page: | 277 | Full-text PDF : | 358 | References: | 31 |
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