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- W565233419 abstract "The classical invariant theory from the 19th century is used to determine a complete system of 3rd order invariants on a surface in three-space. The invariant ring has 18 generators and the ideal of syzygies has 65 generators. The invariants are expressed as polynomials in the components of the first fundamental form, the second fundamental form and the covariant derivative of the latter, or in the case of an implicitly defined surface — M = f -1(0) — as polynomials in the partial derivatives of f up to order three." @default.
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- W565233419 date "2006-05-23" @default.
- W565233419 modified "2023-09-26" @default.
- W565233419 title "Third Order Invariants of Surfaces" @default.
- W565233419 cites W1969096799 @default.
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- W565233419 doi "https://doi.org/10.1007/3-540-27157-0_14" @default.
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