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Differential Invariants of Conformal and Projective Surfaces
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3
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Differential Invariants of Conformal and Projective Surfaces
Інший ID:
2000 Mathematics Subject Classification: 14L30; 70G65; 53A30; 53A20; 53A55; 12H05
Посилання:
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.
Підтримка:
This paper is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson. This research was initiated during the first author’s visit to the Institute for Mathematics and its Applications (I.M.A.) at the University of Minnesota during 2007–2008 with additional support from the Fulbright visiting scholar program. The second author is supported in part by NSF Grant DMS 05–05293.
Дата:
2007
Переглядів:
555
Завантажень:
297
Анотація:
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.
