Results 41 to 50 of about 1,198,709 (262)

Semi-Slant Submersions from Almost Product Riemannian Manifolds

open access: yesDemonstratio Mathematica, 2016
In this paper, we introduce semi-slant submersions from almost product Riemannian manifolds onto Riemannian manifolds. We give some examples, investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion.
Gündüzalp Yılmaz
doaj   +1 more source

A Comprehensive Introduction to Sub-Riemannian Geometry

open access: yes, 2019
HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or ...
A. Agrachev, D. Barilari, U. Boscain
semanticscholar   +1 more source

Teleparallel Gravity: Foundations and Observational Constraints—Editorial

open access: yesUniverse, 2021
Einstein’s formulation of general relativity as a theory based on the geometry of curvature was a necessity due to Riemannian geometry being the only fully developed framework at the time [...]
Sebastian Bahamonde, Jackson Levi Said
doaj   +1 more source

The Riemannian Geometry of Deep Generative Models [PDF]

open access: yes2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops (CVPRW), 2017
Deep generative models learn a mapping from a low-dimensional latent space to a high-dimensional data space. Under certain regularity conditions, these models parameterize nonlinear manifolds in the data space.
Hang Shao, Abhishek Kumar, P. Fletcher
semanticscholar   +1 more source

Semi-Invariant Riemannian Submersions with Semi-Symmetric Non-Metric Connection

open access: yesJournal of New Theory, 2021
In this paper, we investigate semi-invariant Riemannian submersion from a Kaehler manifold with semi-symmetric non-metric connection to a Riemannian manifold. We study the geometry of foliations with semi-symmetric non-metric connection.
Ramazan Sarı
doaj   +1 more source

Quantum Riemannian geometry and particle creation on the integer line [PDF]

open access: yesClassical and quantum gravity, 2018
We construct noncommutative or ‘quantum’ Riemannian geometry on the integers as a lattice line with its natural 2-dimensional differential structure and metric given by arbitrary non-zero edge square-lengths .
S. Majid
semanticscholar   +1 more source

Identifying Riemannian Singularities with Regular Non-Riemannian Geometry [PDF]

open access: yesPhysical Review Letters, 2022
v2) 7 pages, title modified, references added, redaction improved, example D relegated to Supplemental Material.
Kevin Morand   +2 more
openaire   +4 more sources

Cyclic homogeneous Riemannian manifolds [PDF]

open access: yes, 2014
In spin geometry, traceless cyclic homogeneous Riemannian manifolds equipped with a homogeneous spin structure can be viewed as the simplest manifolds after Riemannian symmetric spin spaces. In this paper, we give some characterizations and properties of
Gadea, P. M.   +2 more
core   +2 more sources

Contact Semi-Riemannian Structures in CR Geometry: Some Aspects

open access: yesAxioms, 2019
There is one-to-one correspondence between contact semi-Riemannian structures ( η , ξ , φ , g ) and non-degenerate almost CR structures ( H , ϑ , J ) .
Domenico Perrone
doaj   +1 more source

The Geometry of Modified Riemannian Extensions [PDF]

open access: yesProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2009
We show that every paracomplex space form is locally isometric to a modified Riemannian extension and gives necessary and sufficient conditions for a modified Riemannian extension to be Einstein. We exhibit Riemannian extension Osserman manifolds of signature (3, 3), whose Jacobi operators have non-trivial Jordan normal form and which are not nilpotent.
Peter B. Gilkey   +3 more
openaire   +4 more sources

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