Results 41 to 50 of about 1,183,540 (276)
Riemannian Curl in Contact Geometry [PDF]
16 pages, Theorem 5.2.1 ...
Bouarroudj, S., Ovsienko, Valentin
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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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On some conformally einstein manifolds of dimension four [PDF]
We study an important family of four-dimensional pseudo-Riemannian manifolds, i.e. generalized symmetric spaces, in terms of conformal geometry. Generalized symmetric spaces were introduced by geometers as an extension of symmetric spaces, and a detailed
Amirhesam Zaeim+2 more
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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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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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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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Riemannian foliations of bounded geometry [PDF]
Continuing the study of bounded geometry for Riemannian foliations, begun by Sanguiao, we introduce a chart‐free definition of this concept. Our main theorem states that it is equivalent to a condition involving certain normal foliation charts. For this type of charts, it is also shown that the derivatives of the changes of coordinates are uniformly ...
Jesús A. Álvarez López+2 more
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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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Pseudo-Riemannian geodesics and billiards [PDF]
Many classical facts in Riemannian geometry have their pseudo-Riemannian analogs. For instance, the spaces of space-like and time-like geodesics on a pseudo-Riemannian manifold have natural symplectic structures (just like in the Riemannian case), while ...
Khesin, B., Tabachnikov, S.
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