کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4606304 | 1337696 | 2012 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Classification of Lagrangian submanifolds in complex space forms satisfying a basic equality involving δ(2,2)δ(2,2)
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Lagrangian submanifolds appear naturally in the context of classical mechanics. They play important roles in geometry as well as in physics. It was proved by B.-Y. Chen in (2000) [6] that every Lagrangian submanifold M5M5 of a complex space form M˜5(4c) of constant holomorphic sectional curvature 4c satisfiesequation(A)δ(2,2)⩽253H2+8c, where H2H2 is the squared mean curvature and δ(2,2)δ(2,2) is a δ -invariant of M5M5 (cf. Chen, 2000, 2011 [6] and [9]). The main purpose of this paper is to completely classify Lagrangian submanifolds of complex space forms M˜5(4c), c=0,1,−1c=0,1,−1, satisfying the equality case of the inequality (A) identically.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 30, Issue 1, February 2012, Pages 107–123
Journal: Differential Geometry and its Applications - Volume 30, Issue 1, February 2012, Pages 107–123
نویسندگان
Bang-Yen Chen, Alicia Prieto-Martín,