The Normal Holonomy Group

DOI10.2307/2047926zbMath0708.53023OpenAlexW4240703979MaRDI QIDQ3490567

Carlos E. Olmos

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2047926

zbMATH Keywords

normal holonomy groupnormal curvature tensorsubmanifold of a space of constant curvature

Mathematics Subject Classification ID

Global submanifolds (53C40) Differential geometry of symmetric spaces (53C35) Issues of holonomy in differential geometry (53C29) Local submanifolds (53B25)

Related Items (10)

Extrinsic symmetric spaces and orbits of \(s\)-representations ⋮ Classification of isoparametric submanifolds admitting a reflective focal submanifold in symmetric spaces of non-compact type ⋮ A Berger type normal holonomy theorem for complex submanifolds ⋮ Normal holonomy of orbits and Veronese submanifolds ⋮ Mok's characteristic varieties and the normal holonomy group ⋮ Parallel submanifolds of complex projective space and their normal holonomy ⋮ The homogeneous slice theorem for the complete complexification of a proper complex equifocal submanifold ⋮ Orbits of Rank One and Parallel Mean Curvature ⋮ Submanifolds, holonomy, and homogeneous geometry ⋮ Copolarity of isometric actions

Cites Work

• On the transitivity of holonomy systems
• Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes
• On Automorphisms of A Kählerian Structure

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