On a Notion of Nonlocal Curvature Tensor

In the literature various notions of nonlocal curvature can be found. Here we propose a notion of nonlocal curvature tensor. This we do by generalizing an appropriate representation of the classical curvature tensor and by exploiting some analogies with certain fractional differential operators.

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Veröffentlicht in:	Journal of elasticity 2023-11, Vol.154 (1-4), p.61-79
Hauptverfasser:	Paroni, Roberto, Podio-Guidugli, Paolo, Seguin, Brian
Format:	Artikel
Sprache:	eng
Schlagworte:	Biomechanics Classical and Continuum Physics Classical Mechanics Curvature Differential equations Engineering Materials Science Mathematical analysis Mathematical Applications in the Physical Sciences Operators (mathematics) Tensors Theoretical and Applied Mechanics
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Beschreibung
Zusammenfassung:	In the literature various notions of nonlocal curvature can be found. Here we propose a notion of nonlocal curvature tensor. This we do by generalizing an appropriate representation of the classical curvature tensor and by exploiting some analogies with certain fractional differential operators.
ISSN:	0374-3535 1573-2681
DOI:	10.1007/s10659-023-09985-w