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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 097, 15 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.097 (Mi sigma223) 		 
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
Full-text PDF (279 kB) Citations (21)
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DOI: https://doi.org/10.3842/SIGMA.2007.097
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
Bibliographic databases:
Document Type: Article
MSC: 14L30; 70G65;
Language: English
Citation: Evelyne Hubert, Peter J. Olver, “Differential Invariants of Conformal and Projective Surfaces”, SIGMA, 3 (2007), 097, 15 pp.
Citation in format AMSBIB
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\by Evelyne Hubert, Peter J.~Olver
\paper Differential Invariants of Conformal and Projective Surfaces
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\yr 2007
\vol 3
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\totalpages 15
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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