Differential Invariants of Conformal and Projective Surfaces

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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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2007
Hauptverfasser: Hubert, E., Olver, P.J.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2007
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/147204
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Differential Invariants of Conformal and Projective Surfaces / E. Hubert, P.J. Olver // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 39 назв. — англ.

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