Geometry of warped product pseudo-slant submanifolds in nearly Kaehler manifolds

Siraj Uddin, Falleh R. Al-Solamy, Khalid Ali Khan

    Research output: Contribution to journalArticleResearchpeer-review

    Abstract

    Non-existence of warped product pseudo-slant submanifolds of nearly Kaehler manifolds was proved under some conditions in [16]. In this paper, we continue the study of such warped products for their existence. We characterise pseudo-slant submanifolds of a nearly Keahler manifold to be locally warped products. Also, we obtain a geometric inequality for the squared norm of the second fundamental form of a mixed geodesic warped product submanifold in terms of the warping function and the slant angle. The equality case is also considered.

    Original languageEnglish
    Pages (from-to)927-938
    Number of pages12
    JournalAnalele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica
    Volume3
    Issue numberF2
    Publication statusPublished - 2016

    Fingerprint

    Slant Submanifold
    Kaehler Manifold
    Warped Product
    Geometric Inequalities
    Second Fundamental Form
    Warping
    Submanifolds
    Nonexistence
    Geodesic
    Equality
    Continue
    Norm
    Angle

    Cite this

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    abstract = "Non-existence of warped product pseudo-slant submanifolds of nearly Kaehler manifolds was proved under some conditions in [16]. In this paper, we continue the study of such warped products for their existence. We characterise pseudo-slant submanifolds of a nearly Keahler manifold to be locally warped products. Also, we obtain a geometric inequality for the squared norm of the second fundamental form of a mixed geodesic warped product submanifold in terms of the warping function and the slant angle. The equality case is also considered.",
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    Geometry of warped product pseudo-slant submanifolds in nearly Kaehler manifolds. / Uddin, Siraj; Al-Solamy, Falleh R.; Khan, Khalid Ali.

    In: Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica, Vol. 3, No. F2, 2016, p. 927-938.

    Research output: Contribution to journalArticleResearchpeer-review

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