Results 61 to 70 of about 138 (133)

Riemannian Shape Optimization of Thin Shells Using Isogeometric Analysis

Proceedings in Applied Mathematics and Mechanics, Volume 25, Issue 1, March 2025.
ABSTRACT In this contribution, we consider the optimal shape design of thin elastic shell structures based on a linearized shell model of Koiter's type, whose shape can be described by a surface immersed in three‐dimensional Euclidean space. We regard the set of unparametrized immersions of the surface as an infinite‐dimensional Riemannian shape space ...
Rozan Rosandi, Bernd Simeon
wiley   +1 more source

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

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

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

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  

On p-Parabolicity of Riemannian Submersions

, 2015
6 ...
Andrade, Maria, da Silva, Pietro
openaire   +3 more sources

Biharmonic pseudo-Riemannian submersions from 3-manifolds

Filomat, 2018
We classify the pseudo-Riemannian biharmonic submersion from a 3-dimensional space form onto a surface.
MURATHAN, CENGİZHAN, Erken, Irem Kupeli
openaire   +4 more sources

Anti-invariant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds

Filomat, 2015
We introduce anti-invariant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds. We survey main results of anti-invariant Riemannian submersions defined on cosymplectic manifolds. We investigate necessary and sufficient condition for an anti-invariant Riemannian submersion to be totally geodesic and harmonic.
MURATHAN, CENGİZHAN, Erken, Irem Kupeli
openaire   +3 more sources

The concept of Cheeger deformations on fiber bundles with compact structure group. [PDF]

Sao Paulo J Math Sci, 2023
Cavenaghi LF, Grama L, Sperança LD.
europepmc   +1 more source

Anti-invariant Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds

TURKISH JOURNAL OF MATHEMATICS, 2016
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. The integrability of the distributions and the geometry of foliations are investigated.
MURATHAN, CENGİZHAN, Erken, Irem Kupeli, Beri, Ayse   +2 more
openaire   +4 more sources