Results 11 to 20 of about 888,449 (207)
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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Integrable quadratic Hamiltonians on the Euclidean group of motions [PDF]
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
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Discrete Riemannian geometry [PDF]
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]
This paper derives explicit solutions for Riemannian and sub-Riemannian curves on non-Euclidean spaces of arbitrary constant cross-sectional curvature.
Biggs, James
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Proper Semi-Slant Pseudo-Riemannian Submersions in Para-Kaehler Geometry [PDF]
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
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Spectral Geometry for Structural Pattern Recognition [PDF]
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
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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
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A Generalized Bochner Technique and Its Application to the Study of Conformal Mappings
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
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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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