Results 11 to 20 of about 888,449 (207)

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   +2 more sources

Riemannian geometry

open access: yes, 1995
Riemannian Geometry (Degruyter Studies in ...
Klingenberg, Wilhelm PA
core   +2 more sources

Integrable quadratic Hamiltonians on the Euclidean group of motions [PDF]

open access: yes, 2010
This paper tackles the problem of globally computing sub-Riemannian curves on the Euclidean group of motions SE(3). In particular we derive a global result for special sub-Riemannian curves for which their Hamiltonian satisfies a particular condition ...
Biggs, James, Holderbaum, William
core   +4 more sources

Discrete Riemannian geometry [PDF]

open access: yesJournal of Mathematical Physics, 1999
Within a framework of noncommutative geometry, we develop an analog of (pseudo-) Riemannian geometry on finite and discrete sets. On a finite set, there is a counterpart of the continuum metric tensor with a simple geometric interpretation. The latter is based on a correspondence between first order differential calculi and digraphs (the vertices of ...
Dimakis, Aristophanes   +1 more
openaire   +3 more sources

Quadratic Hamiltonians on non-Euclidean spaces of arbitrary constant curvature [PDF]

open access: yes, 2013
This paper derives explicit solutions for Riemannian and sub-Riemannian curves on non-Euclidean spaces of arbitrary constant cross-sectional curvature.
Biggs, James
core   +4 more sources

Proper Semi-Slant Pseudo-Riemannian Submersions in Para-Kaehler Geometry [PDF]

open access: yes, 2022
In this paper, we examine the proper semi-slant pseudo-Riemannian submersions in para-Kaehler geometry and prove some fundamental results on such submersions. In particular we obtain curvature relations in para-Kaehler space forms.
Noyan, Esra Başarır   +3 more
core   +1 more source

Spectral Geometry for Structural Pattern Recognition [PDF]

open access: yes, 2010
Graphs are used pervasively in computer science as representations of data with a network or relational structure, where the graph structure provides a flexible representation such that there is no fixed dimensionality for objects. However, the analysis
El Ghawalby, Hewayda
core   +6 more sources

The Efficacy and Utility of Lower-Dimensional Riemannian Geometry for EEG-Based Emotion Classification

open access: yesApplied Sciences, 2023
Electroencephalography (EEG) signals have diverse applications in brain-computer interfaces (BCIs), neurological condition diagnoses, and emotion recognition across healthcare, education, and entertainment domains.
Zubaidah Al-Mashhadani   +4 more
doaj   +1 more source

A Generalized Bochner Technique and Its Application to the Study of Conformal Mappings

open access: yesAxioms, 2021
This article is devoted to geometrical aspects of conformal mappings of complete Riemannian and Kählerian manifolds and uses the Bochner technique, one of the oldest and most important techniques in modern differential geometry. A feature of this article
Vladimir Rovenski   +2 more
doaj   +1 more source

On some conformally einstein manifolds of dimension four [PDF]

open access: yesریاضی و جامعه, 2022
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
doaj   +1 more source

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