کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8899610 | 1631548 | 2018 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
r-Almost Newton-Ricci solitons immersed into a Riemannian manifold
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: r-Almost Newton-Ricci solitons immersed into a Riemannian manifold r-Almost Newton-Ricci solitons immersed into a Riemannian manifold](/preview/png/8899610.png)
چکیده انگلیسی
We establish the new concept of r-almost Newton-Ricci soliton for hypersurfaces immersed in a Riemannian manifold, which involves the r-th Newton and the Ricci tensors and extends in a natural way the notion of immersed almost Ricci solitons introduced by Barros et al. [3]. In this setting, our purpose is to investigate the existence of these geometric objects. After exhibit some examples of r-almost Newton-Ricci solitons, we obtain sufficient conditions to guarantee that they must be totally geodesic under suitable constraints on the potential function and using appropriate maximum principles. Furthermore, a particular study of 1-almost Newton-Ricci solitons immersed in a locally symmetric Einstein manifold is also made.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 464, Issue 1, 1 August 2018, Pages 546-556
Journal: Journal of Mathematical Analysis and Applications - Volume 464, Issue 1, 1 August 2018, Pages 546-556
نویسندگان
Antonio W. Cunha, Eudes L. de Lima, Henrique F. de Lima,