کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1893487 | 1044091 | 2008 | 27 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the fundamental formulas of complex Finsler submanifolds
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
Let M be a complex manifold endowed with a strongly pseudoconvex Finsler metric F, and M be a complex submanifold of M endowed with the induced complex Finsler metric F. In this paper, the Gauss, Codazzi and Ricci equations are obtained with respect to the Chern-Finsler connection on (M,F), the relationship between the torsion of the induced Chern-Finsler connection and the torsion of the Chern-Finsler connection on the ambient Finsler manifold are obtained. As applications of the fundamental formulas, we first prove that the holomorphic curvature of the induced complex Finsler metric F does not exceed the holomorphic curvature of F, and then give a characterization of the totally geodesic complex Finsler submanifold in terms of the horizontal components of the second fundamental form of (M,F).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 58, Issue 4, April 2008, Pages 423-449
Journal: Journal of Geometry and Physics - Volume 58, Issue 4, April 2008, Pages 423-449
نویسندگان
Chunping Zhong,