REMARKS ON METALLIC WARPED PRODUCT MANIFOLDS

被引:9
|
作者
Blaga, Adara M. [1 ]
Hretcanu, Cristina E. [2 ]
机构
[1] West Univ Timisoara, Timisoara 300223, Romania
[2] Stefan Cel Mare Univ Suceava, Suceava 720229, Romania
关键词
Riemannian manifold; metallic warped product; projection mapping;
D O I
10.22190/FUMI1802269B
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We characterize the metallic structure on the product of two metallic manifolds in terms of metallic maps and provide a necessary and sufficient condition for the warped product of two locally metallic Riemannian manifolds to be locally metallic. We discuss a particular case of the product manifolds and we construct an example of the metallic warped product Riemannian manifold.
引用
收藏
页码:269 / 277
页数:9
相关论文
共 50 条
  • [1] CHARACTERIZATIONS OF TWISTED PRODUCT MANIFOLDS TO BE WARPED PRODUCT MANIFOLDS
    Kazan, S.
    Sahin, B.
    [J]. ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2013, 82 (02): : 253 - 263
  • [2] Warped product of lightlike manifolds
    Duggal, KL
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (05) : 3061 - 3072
  • [3] Warped Product Submanifolds of Riemannian Product Manifolds
    Al-Solamy, Falleh R.
    Khan, Meraj Ali
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [4] Einstein Statistical Warped Product Manifolds
    Aytimur, Hulya
    Ozgur, Cihan
    [J]. FILOMAT, 2018, 32 (11) : 3891 - 3897
  • [5] On doubly warped product Finsler manifolds
    Peyghan, Esmaeil
    Tayebi, Akbar
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (04) : 1703 - 1720
  • [6] Doubly warped product manifolds and submanifolds
    Matsumoto, K
    [J]. GLOBAL ANALYSIS AND APPLIED MATHEMATICS, 2004, 729 : 218 - 224
  • [7] Compact Einstein warped product manifolds
    Diallo A.S.
    [J]. Afrika Matematika, 2014, 25 (2) : 267 - 270
  • [8] Poisson Doubly Warped Product Manifolds
    Al-Dayel, Ibrahim
    Aloui, Foued
    Deshmukh, Sharief
    [J]. MATHEMATICS, 2023, 11 (03)
  • [9] On warped product of Hermitian and Kahlerian manifolds
    Rezaei, Abbas
    Haji-Badali, Ali
    Faghfouri, Morteza
    [J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2021, 18 (04)
  • [10] SOLITONS ON MULTIPLY WARPED PRODUCT MANIFOLDS
    Chen, Bang-Yen
    Jamali, Mohammed
    Shahid, Mohammad Hasan
    [J]. REPORTS ON MATHEMATICAL PHYSICS, 2024, 93 (01) : 103 - 119