The space of parabolic affine spheres with fixed compact boundary

Authors
Ferrer, L Martinez, A Milan, F
Citation
L. Ferrer et al., The space of parabolic affine spheres with fixed compact boundary, MONATS MATH, 130(1), 2000, pp. 19-27
Citations number
14
Categorie Soggetti
Mathematics
Journal title
MONATSHEFTE FUR MATHEMATIK
ISSN journal
00269255 → ACNP
Volume
130
Issue
1
Year of publication
2000
Pages
19 - 27
Database
ISI
SICI code
0026-9255(2000)130:1<19:TSOPAS>2.0.ZU;2-X
Abstract
The aim of this paper is to study the moduli space of solutions of the Diri chlet problem associated to the equation of Monge-Ampere type, det (theta(2 )f/partial derivative x(i)partial derivative x(j)) = 1, on an exterior plan ar domain. We prove that this moduli space is either empty or a differentia ble manifold of dimension five.