Results 31 to 40 of about 1,130,790 (239)

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

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

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

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

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

On concurrent vector fields on Riemannian manifolds

open access: yesAIMS Mathematics, 2023
It is shown that the presence of a non-zero concurrent vector field on a Riemannian manifold poses an obstruction to its topology as well as certain aspects of its geometry.
Amira Ishan
doaj   +1 more source

Anti-Invariant Semi-Riemannian Submersions from Almost Para-Hermitian Manifolds

open access: yesJournal of Function Spaces and Applications, 2013
We introduce anti-invariant semi-Riemannian submersions from almost para-Hermitian manifolds onto semi-Riemannian manifolds. We give an example, investigate the geometry of foliations which are arisen from the definition of a semi-Riemannian submersion ...
Yılmaz Gündüzalp
doaj   +1 more source

Anisotropically Weighted and Nonholonomically Constrained Evolutions on Manifolds

open access: yesEntropy, 2016
We present evolution equations for a family of paths that results from anisotropically weighting curve energies in non-linear statistics of manifold valued data. This situation arises when performing inference on data that have non-trivial covariance and
Stefan Sommer
doaj   +1 more source

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