کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8255590 | 1533711 | 2018 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Lagrangian submanifolds with constant angle functions of the nearly Kähler S3ÃS3
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Lagrangian submanifolds with constant angle functions of the nearly Kähler S3ÃS3 Lagrangian submanifolds with constant angle functions of the nearly Kähler S3ÃS3](/preview/png/8255590.png)
چکیده انگلیسی
We study Lagrangian submanifolds of the nearly Kähler S3ÃS3 with respect to their so called angle functions. We show that if all angle functions are constant, then the submanifold is either totally geodesic or has constant sectional curvature and there is a classification theorem that follows from Dioos et al. (2018). Moreover, we show that if precisely one angle function is constant, then it must be equal to 0,Ï3 or 2Ï3. Using then two remarkable constructions together with the classification of Lagrangian submanifolds of which the first component has nowhere maximal rank from, BektaÅ et al. (2018), we obtain a classification of such Lagrangian submanifolds.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 127, April 2018, Pages 1-13
Journal: Journal of Geometry and Physics - Volume 127, April 2018, Pages 1-13
نویسندگان
Burcu BektaÅ, Marilena Moruz, Joeri Van der Veken, Luc Vrancken,