The Space of Parabolic Affine Sphereswith Fixed Compact Boundary

The Space of Parabolic Affine Sphereswith Fixed Compact Boundary
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DOI:
10.1007/s006050050084
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发表时间:
2000-05
期刊:
Monatshefte für Mathematik
影响因子:
--
通讯作者:
L. Ferrer;Antonio Martínez;F. Milán
L. Ferrer;Antonio Martínez;F. Milán
中科院分区:
其他
文献类型:
--
作者:
L. Ferrer;Antonio Martínez;F. Milán

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本文的目的是研究外平面区域上与Monge-Ampeère型方程相关的Dirichlet问题的解的模空间,det\Documentclass[12pt]{Minimum}\usepackage{amsath}\usepackage{wa ysym}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{matrssfs}\usepackage{upgreek}\setlong{\oddsidemargin}{-69pt}\Begin{Document}\end{Document}。我们证明了这个模空间要么是空的,要么是五维可微流形。
The aim of this paper is to study the moduli space of solutions of the Dirichlet problem associated to the equation of Monge-Ampeère type, det \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document}, on an exterior planar domain. We prove that this moduli space is either empty or a differentiable manifold of dimension five.