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
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
On the fundamental formulas of complex Finsler submanifolds
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
نویسندگان
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