Differential Invariants of Conformal and Projective Surfaces

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2007
• Автори: Hubert, E., Olver, P.J.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2007
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/147204
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: 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.

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.