From symmetric to transsymmetric spaces.

DOI10.1016/S0926-2245(02)00107-9zbMath1038.53051WikidataQ115338138 ScholiaQ115338138MaRDI QIDQ1397844

Ludmila L. Sabinina, Larissa V. Sbitneva, Lev V. Sabinin

Publication date: 6 August 2003

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

homogeneous spacequasigroupgeneralized symmetric spacetranssymmetric space

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Differential geometry of symmetric spaces (53C35) Other topological algebraic systems and their representations (22A30) Differential geometry of webs (53A60)

Related Items (3)

Quandle varieties, generalized symmetric spaces, and \(\phi\)-spaces ⋮ Differential equations of smooth loops related to some space-time models: Integrability conditions and geometry ⋮ Modules over quandle spaces and representations of Lie-Yamaguti algebras

Cites Work

• Regular spaces with symmetries
• Smooth and affine s-manifolds
• Generalized symmetric Riemannian spaces
• Existence of generalized symmetric Riemannian spaces of arbitrary order
• Riemannian manifolds with geodesic symmetries of order 3
• Affine and Riemannian s-manifolds
• Homogeneous spaces defined by Lie group automorphisms. II
• Riemannian manifolds with general symmetries
• Riemannian 4-Symmetric Spaces
• Generalized Affine Symmetric Spaces
• Canonicalf-structures of hyperbolic type on regular Φ-spaces
• Canonical affinor structures of classical type on regular $ \Phi$-spaces
• On the diassociativity of smooth monoalternative loops
• Generalized symmetric spaces
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