کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4659825 1344338 2012 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Geometry of curves and surfaces through the contact map
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Geometry of curves and surfaces through the contact map
چکیده انگلیسی

We introduce a new approach to the study of affine equidistants and centre symmetry sets via a family of maps obtained by reflexion in the midpoints of chords of a submanifold of affine space. We apply this to surfaces in R3, previously studied by Giblin and Zakalyukin, and then apply the same ideas to surfaces in R4, elucidating some of the connexions between their geometry and the family of reflexion maps. We also point out some connexions with symplectic topology.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 159, Issue 2, 1 February 2012, Pages 466-475