کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5778754 1633879 2017 30 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Geometry of conformal vector fields
ترجمه فارسی عنوان
هندسه میدان های بردار متعارف
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
چکیده انگلیسی
It is well known that the Euclidean space (Rn,〈,〉), the n-sphere Sn(c) of constant curvature c and Euclidean complex space form (Cn,J,〈,〉) are examples of spaces admitting conformal vector fields and therefore conformal vector fields are used in obtaining characterizations of these spaces. In this article, we study the conformal vector fields on a Riemannian manifold and present the existing results as well as some new results on the characterization of these spaces. Taking clue from the analytic vector fields on a complex manifold, we define φ-analytic conformal vector fields on a Riemannian manifold and study their properties as well as obtain characterizations of the Euclidean space (Rn,〈,〉) and the n-sphere Sn(c) of constant curvature c using these vector fields.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Arab Journal of Mathematical Sciences - Volume 23, Issue 1, January 2017, Pages 44-73
نویسندگان
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