The Cauchy problem for improper affine spheres and the Hessian one equation

被引：33
|
作者：
Aledo, Juan A. [1 ]
Chaves, Rosa M. B.
Galvez, Jose A.
机构：
[1] Univ Castilla La Mancha, Dept Matemat, Albacete 02071, Spain
[2] Univ Sao Paulo, Inst Matemat & Estatist, BR-05315970 Sao Paulo, Brazil
[3] Univ Granada, Dept Geometr & Topol, E-18071 Granada, Spain
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 359卷 / 09期
关键词：
D O I：
10.1090/S0002-9947-07-04378-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a conformal representation for improper a. ne spheres which is used to solve the Cauchy problem for the Hessian one equation. With this representation, we characterize the geodesics of an improper a. ne sphere, study its symmetries and classify the helicoidal ones. Finally, we obtain the complete classification of the isolated singularities of the Hessian one MongeAmpere equation.
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页码：4183 / 4208
页数：26
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