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

• Autorzy: Erol Kılıç , Mukut Mani Tripathi , Mehmet Gülbahar
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 53C42: Immersions (minimal, prescribed curvature, tight, etc.)
• 53C55: Hermitian and K\"ahlerian manifolds
• 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.)
• 53C40: Global submanifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2016
• Tom: 116
• Numer: 1
• Strony: 37-56

Daty

wydano

2016

Twórcy

autor

Erol Kılıç

• Department of Mathematics, Faculty of Science and Art, İnönü University, Malatya, Turkey

autor

Mukut Mani Tripathi

• Department of Mathematics, Institute of Science Banaras Hindu University, Varanasi, India

autor

Mehmet Gülbahar

• Department of Mathematics, Faculty of Science and Art, Siirt University, Siirt, Turkey

Identyfikatory

DOI

10.4064/ap3666-12-2015