Some classes of harmonic functions on vector bundles

被引：0
|
作者：
Mohamed Tahar Kadaoui Abbassi
Ibrahim Lakrini
机构：
[1] Sidi Mohamed Ben Abdellah University,Department of Mathematics, Faculty of Sciences Dhar El Mahraz
来源：
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry | 2023年 / 64卷
关键词：
Vector bundle; Spherically symmetric metric; Harmonic map; Harmonic function; Complete manifold; Ricci curvature; 53C07; 53C24; 53C25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is devoted to investigate harmonic functions on vector bundle manifolds endowed with the class of spherically symmetric metrics. We will study three classes of harmonic functions on total spaces of vector bundles. We attempt to establish the link between harmonic function theories on the base and total space.
引用
收藏
页码：175 / 196
页数：21
相关论文
共 50 条
  • [1] Some classes of harmonic functions on vector bundles
    Abbassi, Mohamed Tahar Kadaoui
    Lakrini, Ibrahim
    BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY, 2023, 64 (01): : 175 - 196
  • [2] A characterization of some classes of harmonic functions
    Stevic, Stevo
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2008, 5 (01) : 61 - 76
  • [3] A Characterization of Some Classes of Harmonic Functions
    Stevo Stević
    Mediterranean Journal of Mathematics, 2008, 5 : 61 - 76
  • [4] On Some Classes of Harmonic Functions Associated with the Janowski Function
    Ma, Lina
    Li, Shuhai
    Tang, Huo
    MATHEMATICS, 2023, 11 (17)
  • [5] EPSILON-ENTROPY OF SOME CLASSES OF HARMONIC FUNCTIONS
    TANAKA, S
    PROCEEDINGS OF THE JAPAN ACADEMY, 1963, 39 (02): : 85 - &
  • [6] SOME NEW CLASSES OF HARMONIC CONVEX FUNCTIONS AND INEQUALITIES
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Iftikhar, Sabah
    Awan, Muhammad Uzair
    PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2018, 44 (02): : 250 - 266
  • [7] FREE INTERPOLATION IN SOME CLASSES OF HARMONIC-FUNCTIONS
    TOLOKONNIKOV, VA
    VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA MATEMATIKA MEKHANIKA ASTRONOMIYA, 1986, (04): : 93 - 97
  • [8] On some classes of harmonic functions with nonnegative harmonic majorants in the half-plane
    A. M. Jerbashian
    J. E. Restrepo
    Journal of Contemporary Mathematical Analysis, 2016, 51 : 79 - 89
  • [9] On some classes of harmonic functions with nonnegative harmonic majorants in the half-plane
    Jerbashian, A. M.
    Restrepo, J. E.
    JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2016, 51 (02): : 79 - 89
  • [10] Chern classes of automorphic vector bundles
    Mark Goresky
    William Pardon
    Inventiones mathematicae, 2002, 147 : 561 - 612
12345