Self-adjoint operators on surfaces in Rn
نویسنده
چکیده
Our aim in this paper is to define principal and characteristic directions at points on a smooth 2-dimensional surface in the Euclidean space R in such a way that their equations together with that of the asymptotic directions behave in the same way as the triple formed by their counterpart on smooth surfaces in the Euclidean space R. The definitions we propose are derived from a more general approach, namely an analysis of self-adjoint operators on 2-dimensional smooth surfaces in the Euclidean space Rn.
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تاریخ انتشار 2007