کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4617844 | 1339392 | 2012 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Lagrangian submanifolds in complex space forms attaining equality in a basic inequality
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
Lagrangian submanifolds appear naturally in the context of classical mechanics. Moreover, they play some important roles in supersymmetric field theories as well as in string theory. Recently, it was proved in Chen and Dillen (2011) [11] that for any Lagrangian submanifold M of a complex space form M˜n(4c), n⩾3n⩾3, of constant holomorphic sectional curvature 4c we haveδ(n−1)⩽n−14(nH2+4c), where H2H2 is the squared mean curvature and δ(n−1)δ(n−1) is a δ-invariant of M (cf. Chen, 2000, 2011 [7] and [10]). In this paper, we completely classify non-minimal Lagrangian submanifolds of complex space forms M˜n(4c), c=0,1,−1c=0,1,−1, which satisfy the equality case of the inequality identically.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 387, Issue 1, 1 March 2012, Pages 139–152
Journal: Journal of Mathematical Analysis and Applications - Volume 387, Issue 1, 1 March 2012, Pages 139–152
نویسندگان
Bang-Yen Chen, Franki Dillen, Luc Vrancken,