Bi-f-harmonic map equations on singly warped product manifolds |
| |
Authors: | ZHAO Chun-li LU Wei-jun |
| |
Institution: | 1. Center of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China 2. College of Sciences, Guangxi University for Nationalities, Nanning 530006, China |
| |
Abstract: | Bi-f-harmonic maps are the critical points of bi-f-energy functional. This class of maps tends to integrate bi-harmonic maps and f-harmonic maps. In this paper, we show that bi-f-harmonic maps are not only an extension of f-harmonic maps but also an extension of bi-harmonic maps, and that there should exist many examples of proper bi-f-harmonic maps.In order to find some concrete examples of proper bi-f-harmonic maps, we study the basic properties of bi-f-harmonic maps from two directions which are conformal maps between the same dimensional manifolds and some special maps from or into a warped product manifold. |
| |
Keywords: | f-tension field bi-f-tension field bi-f-harmonic map f-bi-harmonic map singly warped product manifold |
本文献已被 CNKI 万方数据 等数据库收录! |
|