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Warped product submanifolds of Kaehler manifolds with a slant factor

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Sahin B.

Annales Polonici Mathematici

2009

tom 95

nr 3

207-226

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.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Sahin B.

1 2009

Wyniki wyszukiwania

Warped product submanifolds of Kaehler manifolds with a slant factor