Homogeneous surfaces admitting invariant connections

Homogeneous surfaces admitting invariant connections

We compute all the simply connected homogeneous and infinitesimally homogeneous surfaces admitting one or more invariant affine connections. We find exactly six non equivalent simply connected homogeneous surfaces admitting more than one invariant connections and four classes of simply connected hom...

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Veröffentlicht in:São Paulo Journal of Mathematical Sciences 2022-12, Vol.16 (2), p.1110-1137
Hauptverfasser: Blázquez-Sanz, David, Jiménez Buitrago, Luis Fernando, Marín Arango, Carlos Alberto
Format: Artikel
Sprache:eng
Schlagworte:
Invariants
Mathematics
Mathematics and Statistics
Original Article
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Beschreibung
Zusammenfassung:We compute all the simply connected homogeneous and infinitesimally homogeneous surfaces admitting one or more invariant affine connections. We find exactly six non equivalent simply connected homogeneous surfaces admitting more than one invariant connections and four classes of simply connected homogeneous surfaces admitting exactly one invariant connection.
ISSN:1982-6907
2316-9028
2306-9028
DOI:10.1007/s40863-022-00306-y