Invariants of surfaces in three-dimensional affine geometry

Örn Arnaldsson; Francis Valiquette

doi:10.3842/SIGMA.2021.033

Invariants of surfaces in three-dimensional affine geometry

Örn Arnaldsson, Francis Valiquette

Science Institute

University of Iceland

Research output: Contribution to journal › Article › peer-review

Abstract

Using the method of moving frames we analyze the algebra of differential invariants for surfaces in three-dimensional affine geometry. For elliptic, hyperbolic, and parabolic points, we show that if the algebra of differential invariants is non-trivial, then it is generically generated by a single invariant.

Original language	English
Article number	033
Journal	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume	17
DOIs	https://doi.org/10.3842/SIGMA.2021.033
Publication status	Published - 30 Mar 2021

Bibliographical note

Other keywords

Affine group
Differential invariants
Moving frames

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10.3842/SIGMA.2021.033

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title = "Invariants of surfaces in three-dimensional affine geometry",

abstract = "Using the method of moving frames we analyze the algebra of differential invariants for surfaces in three-dimensional affine geometry. For elliptic, hyperbolic, and parabolic points, we show that if the algebra of differential invariants is non-trivial, then it is generically generated by a single invariant.",

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AB - Using the method of moving frames we analyze the algebra of differential invariants for surfaces in three-dimensional affine geometry. For elliptic, hyperbolic, and parabolic points, we show that if the algebra of differential invariants is non-trivial, then it is generically generated by a single invariant.

KW - Affine group

KW - Differential invariants

KW - Moving frames

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DO - 10.3842/SIGMA.2021.033

M3 - Article

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JO - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

JF - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

M1 - 033

ER -

Invariants of surfaces in three-dimensional affine geometry

Abstract

Bibliographical note

Other keywords

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