An inequality for contact CR-warped product submanifolds of nearly cosymplectic manifolds

Siraj Uddin, Khalid Khan

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    Abstract

    Recently, Chen (Monatshefte Math. 133:177-195, 2001) established general sharp inequalities for CR-warped products in a Kaehler manifold. Afterward, Mihai obtained (Geom. Dedic. 109:165-173, 2004) the same inequalities for contact CR-warped product submanifolds of Sasakian space forms and derived some applications. In this paper, we obtain an inequality for the length of the second fundamental form of the warped product submanifold of a nearly cosymplectic manifold in terms of the warping function. The equality case is also discussed. MSC: 53C40, 53C42, 53B25.
    Original languageEnglish
    Article number304
    Pages (from-to)1-7
    Number of pages7
    JournalJournal of Inequalities and Applications
    Volume2012
    Issue number1
    DOIs
    Publication statusPublished - 2012

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    Warped Product
    Submanifolds
    Contact
    Sasakian Space Form
    Kaehler Manifold
    Sharp Inequality
    Second Fundamental Form
    Warping
    Equality

    Cite this

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    abstract = "Recently, Chen (Monatshefte Math. 133:177-195, 2001) established general sharp inequalities for CR-warped products in a Kaehler manifold. Afterward, Mihai obtained (Geom. Dedic. 109:165-173, 2004) the same inequalities for contact CR-warped product submanifolds of Sasakian space forms and derived some applications. In this paper, we obtain an inequality for the length of the second fundamental form of the warped product submanifold of a nearly cosymplectic manifold in terms of the warping function. The equality case is also discussed. MSC: 53C40, 53C42, 53B25.",
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    An inequality for contact CR-warped product submanifolds of nearly cosymplectic manifolds. / Uddin, Siraj; Khan, Khalid.

    In: Journal of Inequalities and Applications, Vol. 2012, No. 1, 304, 2012, p. 1-7.

    Research output: Contribution to journalArticleResearchpeer-review

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    AU - Khan, Khalid

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    AB - Recently, Chen (Monatshefte Math. 133:177-195, 2001) established general sharp inequalities for CR-warped products in a Kaehler manifold. Afterward, Mihai obtained (Geom. Dedic. 109:165-173, 2004) the same inequalities for contact CR-warped product submanifolds of Sasakian space forms and derived some applications. In this paper, we obtain an inequality for the length of the second fundamental form of the warped product submanifold of a nearly cosymplectic manifold in terms of the warping function. The equality case is also discussed. MSC: 53C40, 53C42, 53B25.

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