IJPAM: Volume 32, No. 4 (2006)

THE MEASURE FOR A CLASS OF
AFFINE HYPERSURFACES

Caristi Giuseppe$^1$, Giovanni Molica Bisci$^2$
$^1$Department of Economic and Business Branches of Knowledge
Faculty of Economics
University of Messina
98122 - (Me), ITALY
e-mail: g.caristi@unime.it
$^2$Faculty of Engineering, DIMET
University of Reggio Calabria
Via Graziella (Feo di Vito), Reggio Calabria, I-89100, ITALY
e-mail: giovanni.molica@ing.unirc.it


Abstract.In the real affine $9$-dimensional space $\mathbf{{A}}^{9}$, we show the measurability of the family of reducible hypersurfaces of type $\mathbf{S}=\mathbf{p}_1\cdot... \cdot\mathbf{p}_9$, where the components $\mathbf{p}_i$ are hyperplanes passing trough a fixed point.

Received: October 21, 2006

AMS Subject Classification: 60D05, 52A22

Key Words and Phrases: integral geometry, Lie groups, invariant varieties

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 32
Issue: 4