Sharp Inequalities Involving the Ricci Curvature for Riemannian Submersions
Kragujevac Journal of Mathematics, Tome 41 (2017) no. 2, p. 279
In this paper, we obtain sharp inequalities on Riemannian manifolds admitting a Riemannian submersion and give some characterizations using these inequalities. We improve Chen-Ricci inequality for Riemannian submersion and present some examples which satisfy this inequality.
Classification :
53C12 53C40
Keywords: Riemannian manifold, Riemannian submersion, Chen-Ricci inequality
Keywords: Riemannian manifold, Riemannian submersion, Chen-Ricci inequality
@article{KJM_2017_41_2_a7,
author = {M. G\"ulbahar and S. Eken Meric and E. Kilic},
title = {Sharp {Inequalities} {Involving} the {Ricci} {Curvature} for {Riemannian} {Submersions}},
journal = {Kragujevac Journal of Mathematics},
pages = {279 },
year = {2017},
volume = {41},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2017_41_2_a7/}
}
TY - JOUR AU - M. Gülbahar AU - S. Eken Meric AU - E. Kilic TI - Sharp Inequalities Involving the Ricci Curvature for Riemannian Submersions JO - Kragujevac Journal of Mathematics PY - 2017 SP - 279 VL - 41 IS - 2 UR - http://geodesic.mathdoc.fr/item/KJM_2017_41_2_a7/ LA - en ID - KJM_2017_41_2_a7 ER -
M. Gülbahar; S. Eken Meric; E. Kilic. Sharp Inequalities Involving the Ricci Curvature for Riemannian Submersions. Kragujevac Journal of Mathematics, Tome 41 (2017) no. 2, p. 279 . http://geodesic.mathdoc.fr/item/KJM_2017_41_2_a7/