Warped product submanifolds of Kaehler manifolds with a slant factor

Tom 95 / 2009

Bayram Sahin Annales Polonici Mathematici 95 (2009), 207-226 MSC: 53C40, 53C42, 53C15. DOI: 10.4064/ap95-3-2

Streszczenie

Recently, we showed that there exist no warped product semi-slant submanifolds in Kaehler manifolds. On the other hand, Carriazo introduced anti-slant submanifolds as a particular class of bi-slant submanifolds. In this paper, we study such submanifolds in detail and show that they are useful to define a new kind of warped product submanifolds of Kaehler manifolds. In this direction, we obtain the existence of warped product hemi-slant (anti-slant) submanifolds with examples. We give a characterization theorem and establish an inequality for the squared norm of the second fundamental form in terms of the warping function for such submanifolds. The equality case is also considered.

Autorzy

  • Bayram SahinDepartment of Mathematics
    Inonu University
    44280, Malatya, Turkey
    e-mail

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