W(3) GRAVITY FROM AFFINE MAXIMAL HYPERSURFACES

Authors
LYI WS SOLOVIEV OA
Citation
Ws. Lyi et Oa. Soloviev, W(3) GRAVITY FROM AFFINE MAXIMAL HYPERSURFACES, Nuclear physics. B, 397(1-2), 1993, pp. 417-428
Citations number
27
Categorie Soggetti
Physics, Nuclear
Journal title
Nuclear physics. B → ACNP
ISSN journal
05503213
Volume
397
Issue
1-2
Year of publication
1993
Pages
417 - 428
Database
ISI
SICI code
0550-3213(1993)397:1-2<417:WGFAMH>2.0.ZU;2-X
Abstract
Affine differential geometry is used on affine maximal hypersurfaces - surfaces with vanishing affine mean curvature - to describe W3 gravit y. The generators of the W3 algebra, which are related to the affine l ine curvature and torsion, are constructed from the Berwald-Blaschke m etric h(ij) and Fubini-Pick cubic form A(ijk). The maximality of the s urface automatically insures the analyticity of the W3 generators.