Existence and uniqueness of maps into affine homogeneous spaces

zbMath0803.53032MaRDI QIDQ1313419

Jost-Hinrich Eschenburg, Renato de Azevedo Tribuzy

Publication date: 9 February 1994

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1993__89__11_0

zbMATH Keywords

vector bundlereduction of codimensionaffine homogeneous spacestotally geodesic subspace

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Differentiable mappings in differential topology (57R35) Differential topological aspects of diffeomorphisms (57R50)

Related Items (17)

Unnamed Item ⋮ Pluriharmonic maps into Kähler symmetric spaces and Sym's formula ⋮ On complete submanifolds with parallel normalized mean curvature in product spaces ⋮ Biharmonic submanifolds with parallel mean curvature in \(\mathbb{S}^{n}\times\mathbb{R}\) ⋮ Parallel mean curvature biconservative surfaces in complex space forms ⋮ Biharmonic surfaces with parallel mean curvature in complex space forms ⋮ Codimension reduction in symmetric spaces ⋮ A classification result for helix surfaces with parallel mean curvature in product spaces ⋮ Existence and uniqueness theorem for slant immersions and its applications ⋮ A Bonnet theorem for submanifolds into rotational hypersurfaces ⋮ Some recent developments on Hopf's holomorphic form ⋮ Parallel mean curvature surfaces in symmetric spaces ⋮ A characterization of submanifolds of extrinsic symmetric spaces ⋮ A Simons type integral inequality for closed submanifolds in the product space \(\mathbb{S}^n\times\mathbb{R}\) ⋮ Weak continuity of the Cartan structural system and compensated compactness on semi-Riemannian manifolds with lower regularity ⋮ Surfaces with parallel mean curvature in ℂℙⁿ×ℝ and ℂℍⁿ×ℝ ⋮ Surfaces with parallel mean curvature in Sasakian space forms

Cites Work

• The fundamental equations of minimal surfaces in \({\mathbb{C}}P^ 2\)
• Riemannsche Geometrie im Großen. 2. Aufl
• Invariant Affine Connections on Homogeneous Spaces
• Generalized symmetric spaces
• Unnamed Item
• Unnamed Item

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