Product theorems on anti-invariant Riemannian submersions

被引：1
|
作者：
Ali S. [1 ]
Fatima T. [1 ,2 ]
机构：
[1] Department of Mathematics, Aligarh Muslim University, Aligarh
[2] Science College for Girls, Jazan University, Jazan
来源：
Afrika Matematika | 2015年 / 26卷 / 3-4期
关键词：
Anti-invariant Riemannian submersion; Langrangian Riemannian submersion; Totally geodesicness;
D O I：
10.1007/s13370-013-0219-6
中图分类号：
学科分类号：
摘要：
In Ali and Fatima (J Tensor Soc 6(2):163–175, 2012) we studied anti-invariant and Langrangian Riemannian submersions from nearly kaehler manifolds. In this paper we have continued the study of such submersion and investigate the geometry of the leaves of two distributions and obtain the necessary and sufficient conditions for a Langrangian Riemannian submersions to be totally geodesic map. In the end, the decomposition theorems for the total manifold of the submersion are obtained. © 2013, African Mathematical Union and Springer-Verlag Berlin Heidelberg.
引用
收藏
页码：471 / 483
页数：12
相关论文
共 50 条
  • [41] Clairaut Anti-invariant Submersions from Sasakian and Kenmotsu Manifolds
    Tastan, Hakan Mete
    Gerdan, Sibel
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (06)
  • [42] CLAIRAUT ANTI-INVARIANT SUBMERSIONS FROM NEARLY KAHLER MANIFOLDS
    Gupta, Punam
    Rai, Amit Kumar
    [J]. MATEMATICKI VESNIK, 2022, 74 (03): : 197 - 204
  • [43] B. Y. Chen-Ricci inequalities for anti-invariant Riemannian submersions in Kenmotsu space forms
    Polat, Murat
    [J]. ARABIAN JOURNAL OF MATHEMATICS, 2024, 13 (01) : 181 - 196
  • [44] B. Y. Chen-Ricci inequalities for anti-invariant Riemannian submersions in Kenmotsu space forms
    Murat Polat
    [J]. Arabian Journal of Mathematics, 2024, 13 : 181 - 196
  • [45] Anti-Invariant Lorentzian Submersions From Lorentzian Concircular Structure Manifolds
    Siddiqi, M. Danish
    Khan, Meraj A.
    Ishan, Amira A.
    Chaubey, S.K.
    [J]. Frontiers in Physics, 2022, 10
  • [46] CONFORMAL ANTI-INVARIANT RIEMANNIAN MAPS TO KAHLER MANIFOLDS
    Akyol, Mehmet Akif
    Sahin, Bayram
    [J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2018, 80 (04): : 187 - 198
  • [47] Anti-Invariant Lorentzian Submersions From Lorentzian Concircular Structure Manifolds
    Siddiqi, M. Danish
    Khan, Meraj A.
    Ishan, Amira A.
    Chaubey, S. K.
    [J]. FRONTIERS IN PHYSICS, 2022, 10
  • [48] Conformal Anti-Invariant Riemannian Maps from or To Sasakian Manifolds
    Zaidi, Adeeba
    Shanker, Gauree
    Yadav, Ankit
    [J]. LOBACHEVSKII JOURNAL OF MATHEMATICS, 2023, 44 (04) : 1518 - 1527
  • [49] Remarks on conformal anti-invariant Riemannian maps to cosymplectic manifolds
    Gunduzalp, Yilmaz
    Akyol, Mehmet Akif
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 50 (04): : 1131 - 1139
  • [50] Clairaut Anti-invariant Riemannian Maps from Kahler Manifolds
    Yadav, Akhilesh
    Meena, Kiran
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2022, 19 (03)
12345