CHARACTERIZATIONS OF TWISTED PRODUCT MANIFOLDS TO BE WARPED PRODUCT MANIFOLDS

被引：0
|
作者：
Kazan, S. [1 ]
Sahin, B. [1 ]
机构：
[1] Inonu Univ, Dept Math, TR-44280 Malatya, Turkey
来源：
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE | 2013年 / 82卷 / 02期
关键词：
twisted product; warped product; Ricci curvature tensor; Weyl curvature tensor;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give characterizations of a twisted product manifold to be a warped product manifold by imposing certain conditions on the Weyl conformal curvature tensor and the Weyl projective tensor. We also find similar results for multiply twisted product manifolds.
引用
收藏
页码：253 / 263
页数：11
相关论文
共 50 条
  • [1] Characterizations of umbilic hypersurfaces in warped product manifolds
    Shanze Gao
    Hui Ma
    [J]. Frontiers of Mathematics in China, 2021, 16 : 689 - 703
  • [2] Characterizations of umbilic hypersurfaces in warped product manifolds
    Gao, Shanze
    Ma, Hui
    [J]. FRONTIERS OF MATHEMATICS IN CHINA, 2021, 16 (03) : 689 - 703
  • [3] Osserman and Conformally Osserman Manifolds with Warped and Twisted Product Structure
    Miguel Brozos-Vázquez
    Eduardo García-Río
    Ramón Vázquez-Lorenzo
    [J]. Results in Mathematics, 2008, 52 : 211 - 221
  • [4] Osserman and conformally Osserman manifolds with warped and twisted product structure
    Brozos-Vazquez, Miguel
    Garcia-Rio, Eduardo
    Vazquez-Lorenzo, Ramon
    [J]. RESULTS IN MATHEMATICS, 2008, 52 (3-4) : 211 - 221
  • [5] Warped product of lightlike manifolds
    Duggal, KL
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (05) : 3061 - 3072
  • [6] Warped Product Submanifolds of Riemannian Product Manifolds
    Al-Solamy, Falleh R.
    Khan, Meraj Ali
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [7] On the twisted product of Finsler manifolds
    Kozma, L
    Peter, IR
    Shimada, H
    [J]. REPORTS ON MATHEMATICAL PHYSICS, 2006, 57 (03) : 375 - 383
  • [8] SOLITONS ON MULTIPLY WARPED PRODUCT MANIFOLDS
    Chen, Bang-Yen
    Jamali, Mohammed
    Shahid, Mohammad Hasan
    [J]. REPORTS ON MATHEMATICAL PHYSICS, 2024, 93 (01) : 103 - 119
  • [9] Kenmotsu statistical manifolds and warped product
    Furuhata H.
    Hasegawa I.
    Okuyama Y.
    Sato K.
    [J]. Journal of Geometry, 2017, 108 (3) : 1175 - 1191
  • [10] 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)
12345