Results 31 to 40 of about 1,130,790 (239)
Semi-Slant Submersions from Almost Product Riemannian Manifolds
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
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Teleparallel Gravity: Foundations and Observational Constraints—Editorial
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
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A Comprehensive Introduction to Sub-Riemannian Geometry
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
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The Riemannian Geometry of Deep Generative Models [PDF]
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
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Semi-Invariant Riemannian Submersions with Semi-Symmetric Non-Metric Connection
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
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Quantum Riemannian geometry and particle creation on the integer line [PDF]
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
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Contact Semi-Riemannian Structures in CR Geometry: Some Aspects
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
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On concurrent vector fields on Riemannian manifolds
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
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Anti-Invariant Semi-Riemannian Submersions from Almost Para-Hermitian Manifolds
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
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Anisotropically Weighted and Nonholonomically Constrained Evolutions on Manifolds
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
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