On Ricci flat warped products with a quarter-symmetric connection

被引：6
|
作者：
Pahan, Sampa [1 ]
Pal, Buddhadev [2 ]
Bhattacharyya, Arindam [1 ]
机构：
[1] Jadavpur Univ, Dept Math, Kolkata 700032, India
[2] Univ Calcutta, Dept Pure Math, Kolkata 700019, India
来源：
JOURNAL OF GEOMETRY | 2016年 / 107卷 / 03期
关键词：
Einstein manifold; quarter-symmetric connection; multiply warped product; warping function;
D O I：
10.1007/s00022-015-0301-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we have computed the warping functions for a Ricci flat Einstein multiply warped product spaces M with a quarter-symmetric connection for different dimensions of M [i.e; (1). dim M = 2, (2). dimM = 3, (3). dimM >= 4] and all the fibers are Ricci flat.
引用
收藏
页码：627 / 634
页数：8
相关论文
共 50 条
  • [1] On Einstein warped products with a quarter-symmetric connection
    Pahan, Sampa
    Pal, Buddhadev
    Bhattacharyya, Arindam
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2017, 14 (04)
  • [2] Multiply warped products with a quarter-symmetric connection
    Qu, Quan
    Wang, Yong
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 431 (02) : 955 - 987
  • [3] On Ricci solitons with quarter-symmetric connection
    Lone, Mehraj Ahmad
    Harry, Idrees Fayaz
    RICERCHE DI MATEMATICA, 2024,
  • [4] On a Ricci Quarter-Symmetric Metric Recurrent Connection and a Projective Ricci Quarter-Symmetric Metric Recurrent Connection in a Riemannian Manifold
    Zhao, Di
    Jen, Cholyong
    Ho, Talyun
    FILOMAT, 2020, 34 (03) : 795 - 806
  • [5] On a non flat Riemannian warped product manifold with respect to quarter-symmetric connection
    Pal, Buddhadev
    Dey, Santu
    Pahan, Sampa
    ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, 2019, 11 (02) : 332 - 349
  • [6] Weyl Manifold with a Ricci Quarter-Symmetric Connection
    Canfes, E. O.
    Gul, I.
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2016, 40 (A3): : 171 - 175
  • [7] Weyl Manifold with a Ricci Quarter-Symmetric Connection
    E. O. Canfes
    I. Gul
    Iranian Journal of Science and Technology, Transactions A: Science, 2016, 40 : 171 - 175
  • [8] Geometries of Manifolds Equipped with a Ricci (Projection-Ricci) Quarter-Symmetric Connection
    Tang, Wanxiao
    Yong, Jon Chol
    Yun, Ho Tal
    He, Guoqing
    Zhao, Peibiao
    FILOMAT, 2019, 33 (16) : 5237 - 5248
  • [9] QUARTER-SYMMETRIC METRIC CONNECTION
    RASTOGI, SC
    DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE, 1978, 31 (07): : 811 - 814
  • [10] Gauss and Ricci Equations in Contact Manifolds with a Quarter-Symmetric Metric Connection
    De, Avik
    Uddin, Siraj
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2015, 38 (04) : 1689 - 1703
12345