Geometry of centroaffine surfaces in ℝ5

Nathaniel Bushek; Jeanne N. Clelland

doi:10.3842/SIGMA.2015.001

Geometry of centroaffine surfaces in ℝ⁵

Nathaniel Bushek
, Jeanne N. Clelland

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

Abstract

We use Cartan's method of moving frames to compute a complete set of local invariants for nondegenerate, 2-dimensional centroaffine surfaces in ℝ⁵\{0} with nondegenerate centroaffine metric. We then give a complete classification of all homogeneous centroaffine surfaces in this class.

Original language	English (US)
Article number	001
Journal	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume	11
DOIs	https://doi.org/10.3842/SIGMA.2015.001
State	Published - Jan 6 2015
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2015, Institute of Mathematics. All rights reserved.

Keywords

Cartan's method of moving frames
Centroaffine geometry

Publisher link

10.3842/SIGMA.2015.001

Find It

Find It at U of M Libraries

Cite this

@article{7d35afdcfd3d4a8f9702c6f39bc07bea,

title = "Geometry of centroaffine surfaces in ℝ5 ",

abstract = "We use Cartan's method of moving frames to compute a complete set of local invariants for nondegenerate, 2-dimensional centroaffine surfaces in ℝ5\textbackslash{}\{0\} with nondegenerate centroaffine metric. We then give a complete classification of all homogeneous centroaffine surfaces in this class.",

keywords = "Cartan's method of moving frames, Centroaffine geometry",

author = "Nathaniel Bushek and Clelland, \{Jeanne N.\}",

year = "2015",

month = jan,

day = "6",

doi = "10.3842/SIGMA.2015.001",

language = "English (US)",

volume = "11",

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

issn = "1815-0659",

publisher = "Institute of Mathematics",

}

TY - JOUR

T1 - Geometry of centroaffine surfaces in ℝ5

AU - Bushek, Nathaniel

AU - Clelland, Jeanne N.

PY - 2015/1/6

Y1 - 2015/1/6

N2 - We use Cartan's method of moving frames to compute a complete set of local invariants for nondegenerate, 2-dimensional centroaffine surfaces in ℝ5\{0} with nondegenerate centroaffine metric. We then give a complete classification of all homogeneous centroaffine surfaces in this class.

AB - We use Cartan's method of moving frames to compute a complete set of local invariants for nondegenerate, 2-dimensional centroaffine surfaces in ℝ5\{0} with nondegenerate centroaffine metric. We then give a complete classification of all homogeneous centroaffine surfaces in this class.

KW - Cartan's method of moving frames

KW - Centroaffine geometry

UR - https://www.scopus.com/pages/publications/84920430235

UR - https://www.scopus.com/pages/publications/84920430235#tab=citedBy

U2 - 10.3842/SIGMA.2015.001

DO - 10.3842/SIGMA.2015.001

M3 - Article

AN - SCOPUS:84920430235

SN - 1815-0659

VL - 11

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

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

M1 - 001

ER -