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

Erol Kılıç, Mukut Mani Tripathi, and Mehmet Gülbahar. "Chen-Ricci inequalities for submanifolds of Riemannian and Kaehlerian product manifolds." Annales Polonici Mathematici 116.1 (2016): 37-56. <http://eudml.org/doc/280321>.

@article{ErolKılıç2016,
abstract = {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.},
author = {Erol Kılıç, Mukut Mani Tripathi, Mehmet Gülbahar},
journal = {Annales Polonici Mathematici},
keywords = {Chen-Ricci inequality; almost product Riemannian manifold; Riemannian product manifold; Kählerian product manifold; slant submanifold},
language = {eng},
number = {1},
pages = {37-56},
title = {Chen-Ricci inequalities for submanifolds of Riemannian and Kaehlerian product manifolds},
url = {http://eudml.org/doc/280321},
volume = {116},
year = {2016},
}

TY - JOUR
AU - Erol Kılıç
AU - Mukut Mani Tripathi
AU - Mehmet Gülbahar
TI - Chen-Ricci inequalities for submanifolds of Riemannian and Kaehlerian product manifolds
JO - Annales Polonici Mathematici
PY - 2016
VL - 116
IS - 1
SP - 37
EP - 56
AB - 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.
LA - eng
KW - Chen-Ricci inequality; almost product Riemannian manifold; Riemannian product manifold; Kählerian product manifold; slant submanifold
UR - http://eudml.org/doc/280321
ER -