Geodesic
Chen–Ricci inequalities for submanifolds of Riemannian and Kaehlerian product manifolds
Erol Kılıç1 ; Mukut Mani Tripathi2 ; Mehmet Gülbahar3
1Department of Mathematics Faculty of Science and Art İnönü University Malatya, Turkey
2Department of Mathematics Institute of Science Banaras Hindu University Varanasi, India
3Department of Mathematics Faculty of Science and Art Siirt University Siirt, Turkey
Annales Polonici Mathematici, Tome 116 (2016) no. 1, pp. 37-56
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/ap3666-12-2015
Keywords: examples slant submanifolds almost product riemannian manifolds presented existence useful orthonormal basis proper slant submanifolds riemannian product manifold proved sectional curvature ricci curvature scalar curvature submanifolds locally product manifolds almost constant curvature obtained chen ricci inequalities involving ricci tensor squared mean curvature submanifolds locally product manifolds almost constant curvature established chen ricci inequalities different kinds submanifolds kaehlerian product manifolds given

Erol Kılıç  1   ; Mukut Mani Tripathi  2   ; Mehmet Gülbahar  3

1 Department of Mathematics Faculty of Science and Art İnönü University Malatya, Turkey
2 Department of Mathematics Institute of Science Banaras Hindu University Varanasi, India
3 Department of Mathematics Faculty of Science and Art Siirt University Siirt, Turkey 
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Erol Kılıç; Mukut Mani Tripathi; Mehmet Gülbahar. Chen–Ricci inequalities for submanifolds of Riemannian and Kaehlerian product manifolds. Annales Polonici Mathematici, Tome 116 (2016) no. 1, pp. 37-56. doi: 10.4064/ap3666-12-2015

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