![[Back]](/images/prevpage.gif)
![[Index]](/images/index.gif)
![[Help]](/images/help.gif)
![[MSI]](/images/msi.gif)
![[ANU Online]](/images/online.gif)
Mathematics Research Report CMA-MRR81-94
Rigid Spherical Hypersurfaces
A.V. Isaev
Abstract:
We prove that the equations of zero CR-curvature in the case of
rigid
hypersurfaces lead to an overdetermined system of differential equations with
holomorphic coefficients. We also show that such a system is equivalent to
the sphericity conditions provided the hypersurface in consideration has
nondegenerate
Levi form. As an application of this characterisation we prove real-analyticity
of rigid spherical hypersurfaces of a certain class.
This service is maintained by the
Mathematical Sciences Institute (MSI)
Comments to
webmaster@maths.anu.edu.au
URL: http://wwwmaths.anu.edu.au/