Chen's first inequality for Riemannian maps

被引：17
|
作者：
Sahin, Bayram [1 ]
机构：
[1] Ege Univ, Dept Math, TR-35100 Izmir, Turkey
来源：
ANNALES POLONICI MATHEMATICI | 2016年 / 117卷 / 03期
关键词：
Chen inequality; Riemannian map; harmonic map; Hopf fibration; QUASI-CONSTANT CURVATURE; SPACE-FORMS; SUBMANIFOLDS; CONNECTION; CLASSIFICATION; SUBMERSIONS; MANIFOLDS;
D O I：
10.4064/ap3958-7-2016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain a basic Chen inequality for Riemannian maps between Riemannian manifolds.
引用
收藏
页码：249 / 258
页数：10
相关论文
共 50 条
  • [1] First Chen Inequality for General Warped Product Submanifolds of a Riemannian Space Form and Applications
    Mustafa, Abdulqader
    Ozel, Cenap
    Pigazzini, Alexander
    Kaur, Ramandeep
    Shanker, Gauree
    ADVANCES IN PURE AND APPLIED MATHEMATICS, 2023, 14 (03) : 22 - 40
  • [2] REMARKS ON CHEN'S FUNDAMENTAL INEQUALITY WITH CLASSICAL CURVATURE INVARIANTS IN RIEMANNIAN SPACES
    Suceava, Bogdan D.
    Vajiac, Mihaela B.
    ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA, 2008, 54 (01): : 27 - 37
  • [3] Chen-Ricci inequalities for Riemannian maps and their applications
    Lee, Jae Won
    Lee, Chul Woo
    Sahin, Bayram
    Vilcu, Gabriel-Eduard
    DIFFERENTIAL GEOMETRY AND GLOBAL ANALYSIS: IN HONOR OF TADASHI NAGANO, 2022, 777 : 137 - 152
  • [4] Chen's Inequality for CR-Warped Products in Locally Metallic Riemannian Manifolds
    Alqahtani, Lamia Saeed
    AL-Husainy, Ebtehal M.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2024, 17 (04): : 2481 - 2491
  • [5] A Trudinger type inequality for maps into a Riemannian manifold
    Moser, Roger
    ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2009, 35 (01) : 83 - 90
  • [6] A Trudinger type inequality for maps into a Riemannian manifold
    Roger Moser
    Annals of Global Analysis and Geometry, 2009, 35 : 83 - 90
  • [7] The Chen's first inequality for submanifolds of statistical warped product manifolds
    Siddiqui, Aliya Naaz
    Murathan, Cengizhan
    Siddiqi, Mohd Danish
    JOURNAL OF GEOMETRY AND PHYSICS, 2021, 169
  • [8] SHARP INEQUALITIES INVOLVING THE CHEN-RICCI INEQUALITY FOR SLANT RIEMANNIAN SUBMERSIONS
    Akyol, Mehmet Akif
    Poyraz, Nergiz
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2023, 60 (05) : 1155 - 1179
  • [9] THE KHINCHIN INEQUALITY AND CHEN'S THEOREM
    Skriganov, M. M.
    ST PETERSBURG MATHEMATICAL JOURNAL, 2012, 23 (04) : 761 - 778
  • [10] CHEN'S CONJECTURE AND ε-SUPERBIHARMONIC SUBMANIFOLDS OF RIEMANNIAN MANIFOLDS
    Wheeler, Glen
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2013, 24 (04)
12345