Results 61 to 70 of about 140 (130)
Slant submersions from almost paracontact Riemannian manifolds
In this paper, we introduce slant submersions from almost paracontact Riemannian manifoldsonto Riemannian manifolds. We give examples and investigate the geometry of foliationswhich are arisen from the definition of a Riemannian submersion.
YILMAZ GÜNDÜZALP
doaj
Duality and Some Links Between Riemannian Submersion, F-Harmonicity, and Cohomology
Fundamentally, duality gives two different points of view of looking at the same object. It appears in many subjects in mathematics (geometry, algebra, analysis, PDEs, Geometric Measure Theory, etc.) and in physics.
Bang-Yen Chen, Shihshu (Walter) Wei
doaj +1 more source
Dual spaces of geodesic currents
Abstract Every geodesic current on a hyperbolic surface has an associated dual space. If the current is a lamination, this dual embeds isometrically into a real tree. We show that, in general, the dual space is a Gromov hyperbolic metric tree‐graded space, and express its Gromov hyperbolicity constant in terms of the geodesic current.
Luca De Rosa, Dídac Martínez‐Granado
wiley +1 more source
The Stratified Ocean Model With Adaptive Refinement (SOMARv2)
Abstract Numerical studies of submesoscale ocean dynamics are restricted by several challenges, including its vast range of scales, nonhydrostatic features, and strong anisotropy. The Stratified Ocean Model with Adaptive Refinement (SOMAR) was developed to address many of these issues.
Edward Santilli +2 more
wiley +1 more source
Legendrian non‐isotopic unit conormal bundles in high dimensions
Abstract For any compact connected submanifold K$K$ of Rn$\mathbb {R}^n$, let ΛK$\Lambda _K$ denote its unit conormal bundle, which is a Legendrian submanifold of the unit cotangent bundle of Rn$\mathbb {R}^n$. In this paper, we give examples of pairs (K0,K1)$(K_0,K_1)$ of compact connected submanifolds of Rn$\mathbb {R}^n$ such that ΛK0$\Lambda _{K_0}$
Yukihiro Okamoto
wiley +1 more source
Bi-slant $\xi^{\perp}$-Riemannian submersions
We introduce bi-slant $\xi^{\perp}$-Riemannian submersions from Sasakian manifolds onto Riemannian manifolds as a generalization of slant and semi-slant $\xi^{\perp}$-Riemannian submersion and present some examples. We give the necessary and sufficient conditions for the integration of the distributions used to define the bi-slant $\xi^{\perp ...
openaire +4 more sources
Some Notes Concerning Riemannian Submersions and Riemannian Homogenous Spaces
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 +2 more
openaire +4 more sources
Almost contact metric 3-submersions
An almost contact metric 3-submersion is a Riemannian submersion, π from an almost contact metric manifold (M4m+3,(φi,ξi,ηi)i=13,g) onto an almost quaternionic manifold (N4n,(Ji)i=13,h) which commutes with the structure tensors of type (1,1);i.e., π*φi ...
Bill Watson
doaj +1 more source
Pullback Bundles and the Geometry of Learning. [PDF]
Puechmorel S.
europepmc +1 more source
Biharmonic Riemannian Submersions from a Three-Dimensional Non-Flat Torus
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

