f-Harmonic morphisms between Riemannian manifolds

被引：0
|
作者：
Yelin Ou
机构：
[1] Guangxi University for Nationalities,Department of Mathematics
来源：
Chinese Annals of Mathematics, Series B | 2014年 / 35卷
关键词：
-Harmonic maps; -Harmonic morphisms; -Harmonic maps; Harmonic morphisms; -Harmonic morphisms; 58E20; 53C12;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
f-Harmonic maps were first introduced and studied by Lichnerowicz in 1970. In this paper, the author studies a subclass of f-harmonic maps called f-harmonic morphisms which pull back local harmonic functions to local f-harmonic functions. The author proves that a map between Riemannian manifolds is an f-harmonic morphism if and only if it is a horizontally weakly conformal f-harmonic map. This generalizes the well-known characterization for harmonic morphisms. Some properties and many examples as well as some non-existence of f-harmonic morphisms are given. The author also studies the f-harmonicity of conformal immersions.
引用
收藏
页码：225 / 236
页数：11
相关论文
共 50 条
  • [1] f-Harmonic Morphisms Between Riemannian Manifolds
    Yelin OU
    Chinese Annals of Mathematics(Series B), 2014, 35 (02) : 225 - 236
  • [2] f-Harmonic morphisms between Riemannian manifolds
    Ou, Yelin
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2014, 35 (02) : 225 - 236
  • [3] On generalized f-harmonic morphisms
    Cherif, A. Mohammed
    Mustapha, Djaa
    COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2014, 55 (01): : 17 - 27
  • [4] Harmonic morphisms between semi-riemannian manifolds
    Fuglede, B
    ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 1996, 21 (01): : 31 - 50
  • [5] V-HARMONIC MORPHISMS BETWEEN RIEMANNIAN MANIFOLDS
    Zhao, Guangwen
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 148 (03) : 1351 - 1361
  • [6] Transversally Harmonic Morphisms Between Foliated Riemannian Manifolds
    Chiang, Yuan-Jen
    Wolak, Robert
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2016, 40 (02) : 171 - 182
  • [7] Stable F-harmonic maps between Finsler manifolds
    Li, Jin Tang
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (05) : 885 - 900
  • [8] Quadratic harmonic morphisms between semi-Riemannian manifolds
    Lu W.-J.
    Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2013, 54 (1): : 59 - 79
  • [9] F-Harmonic Maps between DoublyWarped Product Manifolds
    Torbaghan, Seyed Mehdi Kazemi
    Rezaii, Morteza Mirmohammad
    MATHEMATICS, 2017, 5 (02):
  • [10] Some isolation results for f-harmonic maps on weighted Riemannian manifolds with boundary
    Ilias, Said
    Shouman, Abdolhakim
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 471 (1-2) : 15 - +
12345