Results 61 to 70 of about 47,101 (158)

Sharp inequalities involving the Ricci curvature for Riemannian submersions

, 2017
In this paper, we obtain sharp inequalities on Riemannian manifolds admitting a Riemannian submersion and give some characterizations using these inequalities.
Gülbahar M., Eken Meriç S., Kiliç E.
core   +2 more sources

Biharmonic Riemannian Submersions from a Three-Dimensional Non-Flat Torus

Mathematics
In this paper, we study Riemannian submersions from a three-dimensional non-flat torus T2×S1 to a surface and their biharmonicity. In local coordinates, a complete characterization of such Riemannian submersions is provided.
Ze-Ping Wang, Hui-Fang Liu
doaj   +1 more source

Riemannian Submersions and Lagrangian Isometric Immerson 1 [PDF]

, 2013
In [1], it has shown that if a Riemannian manifold admits a non- trivial Riemannian submersion with total geodesic fibers, then it cannot be isometrically immersed in any Riemannian manifold of non-positive sectional curvature as a minimal submanifold ...
Oh, Yun Myung
core  

Some Notes Concerning Riemannian Submersions and Riemannian Homogenous Spaces

International Electronic Journal of Geometry, 2019
This article contains basic material regarding Riemannian submersions of the form \(\pi:G\longrightarrow G/H\), where \(G\) is a Lie group and \(H\) is a closed subgroup and \(G/H\) is endowed with a \(G\)-invariant metric. The particular case where \(G\) possesses a bi-invariant metric and \(G/H\) is naturally reductive is considered.
GÜLBAHAR, Mehmet, KILIÇ, Erol, KELEŞ, Sadık   +2 more
openaire   +4 more sources

Biharmonic Conformal Immersions into a 3-Dimensional Conformally Flat Space

Axioms
This paper investigates biharmonic conformal immersions of surfaces into a conformally flat 3-space. We first establish a characterization of such immersions of totally umbilical surfaces into a generic 3-manifold.
Ze-Ping Wang, Xue-Yi Chen
doaj   +1 more source

P-30 A note on an inequality of Riemannian submersion invariant

, 2012
It has been known that if a Riemannian manifold admits a non-trivial Riemannian submersion with totally geodesic fibers, then it cannot be isometrically immersed in any Riemannian manifold of non-positive sectional curvature as a minimal submanifold. B.Y.
Oh, Yun Myung
core  

Anti-invariant Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds

, 2015
The purpose of this paper is to study anti-invariant Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds. Several fundamental results in this respect are proved.

core   +2 more sources

A Short Survey on Biharmonic Riemannian Submersions

International Electronic Journal of Geometry
The study of biharmonic submanifolds, initiated by B. Y. Chen and G. Y. Jiang independently, has received a great attention in the past 30 years with many important progress (see the reference for some recent books with vast references therein). This note attempts to give a short survey on the study of biharmonic Riemannian submersions which are a ...
openaire   +4 more sources

Geometry of Foliated Manifolds

Extracta Mathematicae, 2016
In this paper some results of the authors on geometry of foliated manifolds are stated and results on geometry of Riemannian (metric) foliations are discussed.
A.Ya. Narmanov, A.S. Sharipov
doaj  

Differential of the Stretch Tensor for Any Dimension with Applications to Quotient Geodesics

Comptes Rendus. Mathématique
The polar decomposition $X=WR$, with $X \in \mathrm{GL}(n, \mathbb{R})$, $W \in \mathcal{S}_+(n)$, and $R \in \mathcal{O}_n$, suggests a right action of the orthogonal group $\mathcal{O}_n$ on the general linear group $\mathrm{GL}(n, \mathbb{R ...
Bisson, Olivier, Pennec, Xavier
doaj   +1 more source