کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4606757 | 1337733 | 2007 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Extrinsic Euler characteristic of a non-immersed hypersurface (focal surfaces, pedal images, and extrinsic Morse indices)
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We use elementary descriptive methods to extend the Boy–Izumiya–Marar (extrinsic) Euler characteristic formula for the image of a compact 2-manifold mapped into a 3-manifold subject to regularity conditions at the singular points of the mapping. In addition to Boy's “terminating double points” and triple points we allow stable conical singularities which occur generically in focal surfaces (i.e., Lagrangian critical images) and in pedal surfaces in Euclidean 3-space. As a consequence we derive a Morse theoretic formula for this extrinsic Euler characteristic in terms of a height function, and its extrinsic Morse indices.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 25, Issue 1, February 2007, Pages 44–55
Journal: Differential Geometry and its Applications - Volume 25, Issue 1, February 2007, Pages 44–55
نویسندگان
Marek Kossowski,