Differential invariants of conformal and projective surfaces

Evelyne Hubert; Peter J. Olver

doi:10.3842/SIGMA.2007.097

Differential invariants of conformal and projective surfaces

Evelyne Hubert, Peter J. Olver

School of Mathematics

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

17 Scopus citations

Abstract

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.

Original language	English (US)
Article number	097
Journal	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume	3
DOIs	https://doi.org/10.3842/SIGMA.2007.097
State	Published - 2007

Keywords

Conformal differential geometry
Differential algebra
Differential invariants
Moving frame
Projective differential geometry
Syzygy

Publisher link

10.3842/SIGMA.2007.097

Find It

Find It at U of M Libraries

Cite this

@article{20d39081c1ec4d708a16001de92a0199,

title = "Differential invariants of conformal and projective surfaces",

abstract = "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.",

keywords = "Conformal differential geometry, Differential algebra, Differential invariants, Moving frame, Projective differential geometry, Syzygy",

author = "Evelyne Hubert and Olver, {Peter J.}",

year = "2007",

doi = "10.3842/SIGMA.2007.097",

language = "English (US)",

volume = "3",

journal = "Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)",

issn = "1815-0659",

publisher = "Institute of Mathematics",

}

TY - JOUR

T1 - Differential invariants of conformal and projective surfaces

AU - Hubert, Evelyne

AU - Olver, Peter J.

PY - 2007

Y1 - 2007

N2 - 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.

AB - 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.

KW - Conformal differential geometry

KW - Differential algebra

KW - Differential invariants

KW - Moving frame

KW - Projective differential geometry

KW - Syzygy

UR - http://www.scopus.com/inward/record.url?scp=84889234709&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84889234709&partnerID=8YFLogxK

U2 - 10.3842/SIGMA.2007.097

DO - 10.3842/SIGMA.2007.097

M3 - Article

AN - SCOPUS:84889234709

SN - 1815-0659

VL - 3

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

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

M1 - 097

ER -

Differential invariants of conformal and projective surfaces

Abstract

Keywords

Publisher link

Find It

Other files and links

Fingerprint

Cite this