کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4605952 1631359 2014 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Pseudo-holomorphic curves in nearly Kähler manifolds
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Pseudo-holomorphic curves in nearly Kähler manifolds
چکیده انگلیسی

We study pseudo-holomorphic curves in general nearly Kähler manifolds. For that purpose, we first introduce the fundamental equations of submanifold geometry in terms of the characteristic connection of the nearly Kähler structure. Then we classify pseudo-holomorphic curves with parallel second fundamental form in Chern-flat nearly Kähler manifolds. Moreover, we give a new Simons type identity. As an application of this identity, we show that the closed pseudo-holomorphic curves in Chern-flat nearly Kähler manifolds with a second fundamental form of controlled growth are totally geodesic.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 36, October 2014, Pages 24–43
نویسندگان
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