Curves as slant submanifolds of an almost product Riemannian manifold

被引:0
|
作者
Alegre, Pablo [1 ]
Carriazo, Alfonso [1 ]
机构
[1] Univ Seville, Dept Geometria & Topol, Seville, Spain
关键词
Slant submanifolds; curve; almost product structure;
D O I
10.55730/1300-0098.3535
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we show that in an almost product manifold there exist curves that are slant submanifolds. We characterize these curves and study them in two and three-dimensional locally product manifolds. Finally, we construct curves in a hypersurface of a Kaehler manifold.
引用
收藏
页数:13
相关论文
共 50 条
  • [21] Two theorems on invariant submanifolds of product Riemannian manifold
    Atçeken, M
    Keles, S
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2003, 34 (07): : 1035 - 1044
  • [22] Slant submersions from almost product Riemannian manifolds
    Gunduzalp, Yilmaz
    TURKISH JOURNAL OF MATHEMATICS, 2013, 37 (05) : 863 - 873
  • [23] The geometry of hemi-slant submanifolds of a locally product Riemannian manifold (vol 39, pg 268, 2015)
    Tastan, Hakan Mete
    Ozdemir, Fatma
    TURKISH JOURNAL OF MATHEMATICS, 2016, 40 (06) : 1401 - 1401
  • [24] Warped product bi-slant submanifolds of Kenmotsu manifold
    Pahan, Sampa
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2022, 15 (04)
  • [25] WARPED PRODUCT PSEUDO-SLANT SUBMANIFOLDS OF A KENMOTSU MANIFOLD
    Shuaib, Mohammad
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2023, 38 (02): : 547 - 560
  • [26] Riemannian submersions and slant submanifolds
    Cabrerizo, JL
    Carriazo, A
    Fernández, LM
    Fernández, M
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2002, 61 (3-4): : 523 - 532
  • [27] Warped product semi-slant submanifolds in locally Riemannian product manifolds
    Atceken, Mehmet
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2008, 77 (02) : 177 - 186
  • [28] SCREEN PSEUDO SLANT LIGHTLIKE SUBMANIFOLDS OF A METALLIC SEMI-RIEMANNIAN MANIFOLD
    Shanker, Gauree
    Kaur, Ramandeep
    JOURNAL OF RAJASTHAN ACADEMY OF PHYSICAL SCIENCES, 2021, 20 (1-2): : 93 - 104
  • [29] Warped Product Submanifolds in Locally Golden Riemannian Manifolds with a Slant Factor
    Hretcanu, Cristina E.
    Blaga, Adara M.
    MATHEMATICS, 2021, 9 (17)
  • [30] Pointwise slant submersions from almost product Riemannian manifolds
    Sepet, Sezin Aykurt
    Ergut, Mahmut
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2020, 23 (03) : 639 - 655