Differential equations of smooth loops related to some space-time models: Integrability conditions and geometry

DOI10.1142/S0218216518410043zbMath1406.53057OpenAlexW2799750272WikidataQ115245856 ScholiaQ115245856MaRDI QIDQ4579850

Larissa V. Sbitneva

Publication date: 10 August 2018

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218216518410043

zbMATH Keywords

integrability conditionsreductive homogeneous spacessmooth local loopsfirst Lie theorem for loops

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Loops, quasigroups (20N05)

Cites Work

• Geodesic multiplication and BRST-like operators
• Generalized symmetric Riemannian spaces
• On the notion of gyrogroup
• Smooth loops, generalized coherent states, and geometric phases
• From symmetric to transsymmetric spaces.
• On the relation between Mal'tsev algebras and analytic Moufang groups
• Geodesic multiplication and the theory of gravity
• Beyond the Einstein addition law and its gyroscopic Thomas precession. The theory of gyrogroups and gyrovector spaces
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