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Chen-Ricci inequalities for submanifolds of Riemannian and Kaehlerian product manifolds

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Kılıç E., Tripathi M., Gülbahar M.

Annales Polonici Mathematici

2016

tom 116

nr 1

37-56

Some examples of slant submanifolds of almost product Riemannian manifolds are presented. The existence of a useful orthonormal basis in proper slant submanifolds of a Riemannian product manifold is proved. The sectional curvature, the Ricci curvature and the scalar curvature of submanifolds of locally product manifolds of almost constant curvature are obtained. Chen-Ricci inequalities involving the Ricci tensor and the squared mean curvature for submanifolds of locally product manifolds of almost constant curvature are established. Chen-Ricci inequalities for different kinds of submanifolds of Kaehlerian product manifolds are also given.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Gülbahar M.

1 Kılıç E.

1 Tripathi M.

1 2016

Wyniki wyszukiwania

Chen-Ricci inequalities for submanifolds of Riemannian and Kaehlerian product manifolds