Rotational submanifolds in Euclidean spaces

被引：1

作者：

Arslan, Kadri ^{[1
]}

Bayram, Bengu ^{[2
]}

Bulca, Betul ^{[1
]}

Ozturk, Gunay ^{[3
]}

机构：

[1] Bursa Uludag Univ, Dept Math, TR-16059 Bursa, Turkey

[2] Balikesir Univ, Dept Math, TR-10145 Balikesir, Turkey

[3] Izmir Democracy Univ, Dept Math, TR-35140 Izmir, Turkey

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2019年 / 16卷 / 02期

关键词：

Rotational submanifolds; scalar curvature; mean curvature; SURFACES; E-4;

D O I：

10.1142/S0219887819500294

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The rotational embedded submanifold was first studied by Kuiper as a submanifold in En+d The generalized Beltrami submanifolds and toroidal submanifold are the special examples of these kind of submanifolds. In this paper, we consider 3-dimensional rotational embedded submanifolds in Euclidean 5-space E-5. We give some basic curvature properties of this type of submanifolds. Further, we obtain some results related with the scalar curvature and mean curvature of these submanifolds. As an application, we give an example of rotational submanifold in E-5.

引用

页数：12

共 23 条

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