کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4606412 1337701 2009 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Pseudo-parallel Lagrangian submanifolds in complex space forms
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Pseudo-parallel Lagrangian submanifolds in complex space forms
چکیده انگلیسی

In this work we study pseudo-parallel Lagrangian submanifolds in a complex space form. We give several general properties of pseudo-parallel submanifolds. For the 2-dimensional case, we show that any minimal Lagrangian surface is pseudo-parallel. We also give examples of non-minimal pseudo-parallel Lagrangian surfaces. Here we prove a local classification of the pseudo-parallel Lagrangian surfaces. In particular, semi-parallel Lagrangian surfaces are totally geodesic or flat. Finally, we give examples of pseudo-parallel Lagrangian surfaces which are not semi-parallel.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 27, Issue 1, February 2009, Pages 137–145
نویسندگان
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