کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4666058 | 1633849 | 2013 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Partial rigidity of degenerate CR embeddings into spheres
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, we study degenerate CR embeddings f of a strictly pseudoconvex hypersurface MâCn+1 into a sphere S in a higher dimensional complex space CN+1. The degeneracy of the mapping f will be characterized in terms of the ranks of the CR second fundamental form and its covariant derivatives. In 2004, the author, together with X. Huang and D. Zaitsev, established a rigidity result for CR embeddings f into spheres in low codimensions. A key step in the proof of this result was to show that degenerate mappings are necessarily contained in a complex plane section of the target sphere (partial rigidity). In the 2004 paper, it was shown that if the total rank d of the second fundamental form and all of its covariant derivatives is
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 239, 1 June 2013, Pages 72-96
Journal: Advances in Mathematics - Volume 239, 1 June 2013, Pages 72-96
نویسندگان
Peter Ebenfelt,