کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1895603 1533753 2014 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Remarks on non-maximal integral elements of the Cartan plane in jet spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Remarks on non-maximal integral elements of the Cartan plane in jet spaces
چکیده انگلیسی

There is a natural filtration on the space of degree-kk homogeneous polynomials in nn independent variables with coefficients in the algebra of smooth functions on the Grassmannian Gr(n,s), determined by the tautological bundle. In this paper we show that the space of ss-dimensional integral elements of a Cartan plane on Jk−1(E,n)Jk−1(E,n), with dimE=n+mdimE=n+m, has an affine bundle structure modeled by the so-obtained bundles over Gr(n,s), and we study a natural distribution associated with it. As an example, we show that a third-order nonlinear PDE of Monge–Ampère type is not contact-equivalent to a quasi-linear one.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 85, November 2014, Pages 185–195
نویسندگان
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