کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9500440 | 1337724 | 2005 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Second variation and Legendrian stabilities of minimal Legendrian submanifolds in Sasakian manifolds
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Second variation and Legendrian stabilities of minimal Legendrian submanifolds in Sasakian manifolds Second variation and Legendrian stabilities of minimal Legendrian submanifolds in Sasakian manifolds](/preview/png/9500440.png)
چکیده انگلیسی
First, we derive a new second variation formula which holds for minimal Legendrian submanifolds in Sasakian manifolds. Using this, we prove that any minimal Legendrian submanifold in an η-Einstein Sasakian manifold with “nonpositive” η-Ricci constant is stable. Next we introduce the notion of the Legendrian stability of minimal Legendrian submanifolds in Sasakian manifolds. Using our second variation formula, we find a general criterion for the Legendrian stability of minimal Legendrian submanifolds in η-Einstein Sasakian manifolds with “positive” η-Ricci constant.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 22, Issue 3, May 2005, Pages 327-340
Journal: Differential Geometry and its Applications - Volume 22, Issue 3, May 2005, Pages 327-340
نویسندگان
Hajime Ono,