Biharmonic constant mean curvature surfaces in Killing submersions

被引：0
作者：
Montaldo, Stefano [1 ]
Onnis, Irene I. [2 ]
Passamani, Apoena Passos [3 ]
机构：
[1] Univ Cagliari, Dipartimento Matemat & Informat, Via Osped 72, I-09124 Cagliari, Italy
[2] Univ Sao Paulo, Dept Matemat, CP 668 ICMC, BR-13560970 Sao Carlos, SP, Brazil
[3] Univ Fed Espirito Santo, Dept Matemat, BR-29075910 Vitoria, ES, Brazil
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2018年 / 133卷
基金：
巴西圣保罗研究基金会;
关键词：
Biharmonic surfaces; Constant mean curvature; Killing submersions; RIEMANNIAN-MANIFOLDS;
D O I：
10.1016/j.geomphys.2018.05.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A 3-dimensional Riemannian manifold is called Killing submersion if it admits a Riemannian submersion over a surface such that its fibers are the trajectories of a complete unit Killing vector field. In this paper, we give a characterization of proper biharmonic CMC surfaces in a Killing submersion. In the last part, we also classify the proper biharmonic Hopf cylinders in a Killing submersion. (C) 2018 Elsevier B.V. All rights reserved.
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收藏
页码：91 / 101
页数：11
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