Results 41 to 50 of about 87,606 (230)

Riemannian foliations of bounded geometry [PDF]

open access: yesMathematische Nachrichten, 2014
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
openaire   +3 more sources

Contact Riemannian geometry and thermodynamics

open access: yesDifferential Geometry and its Applications, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gerardo Hernández, Ernesto A. Lacomba
openaire   +3 more sources

Geometry of Manifolds and Applications

open access: yesMathematics
This editorial presents 24 research articles published in the Special Issue entitled Geometry of Manifolds and Applications of the MDPI Mathematics journal, which covers a wide range of topics from the geometry of (pseudo-)Riemannian manifolds and their ...
Adara M. Blaga
doaj   +1 more source

Bounded geometry and leaves [PDF]

open access: yes, 2016
The main theorem states that any complete connected Riemannian manifold of bounded geometry can be isometrically realized as a leaf with trivial holonomy in a compact Riemannian foliated space.Comment: 21 pages. To appear in Math. Nachr. arXiv admin note:
Lijó, Ramón Barral   +1 more
core   +2 more sources

On noncommutative and pseudo-Riemannian geometry [PDF]

open access: yesJournal of Geometry and Physics, 2006
We introduce the notion of a semi-Riemannian spectral triple which generalizes the notion of spectral triple and allows for a treatment of semi-Riemannian manifolds within a noncommutative setting. It turns out that the relevant spaces in noncommutative semi-Riemannian geometry are not Hilbert spaces any more but Krein spaces, and Dirac operators are ...
openaire   +4 more sources

Riemannian Curl in Contact Geometry [PDF]

open access: yesInternational Mathematics Research Notices, 2014
16 pages, Theorem 5.2.1 ...
Bouarroudj, S., Ovsienko, Valentin
openaire   +3 more sources

On semi-slant $\xi^\perp-$Riemannian submersions

open access: yes, 2017
The aim of the present paper to define and study semi-slant $\xi^\perp-$Riemannian submersions from Sasakian manifolds onto Riemannian manifolds as a generalization of anti-invariant $\xi^\perp-$Riemannian submersions, semi-invariant $\xi^\perp ...
Akyol, Mehmet Akif, Sarı, Ramazan
core   +1 more source

Geodesic Vector Fields on a Riemannian Manifold

open access: yesMathematics, 2020
A unit geodesic vector field on a Riemannian manifold is a vector field whose integral curves are geodesics, or in other worlds have zero acceleration. A geodesic vector field on a Riemannian manifold is a smooth vector field with acceleration of each of
Sharief Deshmukh   +2 more
doaj   +1 more source

The rolling problem: overview and challenges

open access: yes, 2012
In the present paper we give a historical account -ranging from classical to modern results- of the problem of rolling two Riemannian manifolds one on the other, with the restrictions that they cannot instantaneously slip or spin one with respect to the ...
A Agrachev   +44 more
core   +2 more sources

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis   +2 more
wiley   +1 more source

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