کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4665881 1633837 2014 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Cauchy problem for indefinite improper affine spheres and their Hessian equation
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
The Cauchy problem for indefinite improper affine spheres and their Hessian equation
چکیده انگلیسی

We give a conformal representation for indefinite improper affine spheres which solve the Cauchy problem for their Hessian equation. As consequences, we can characterize their geodesics and obtain a generalized symmetry principle. Then, we classify the helicoidal indefinite improper affine spheres and find a new family with geodesically complete non-flat affine metric. Moreover, we present interesting examples with singular curves and isolated singularities.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 251, 30 January 2014, Pages 22–34
نویسندگان
,