Decompositions of para-complex vector bundles and para-complex affine immersions

DOI10.1007/BF03323368zbMath1116.53020MaRDI QIDQ860142

Lars Schäfer, Marie-Amélie Lawn

Publication date: 23 January 2007

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

affine para-Kähler immersionpara-complex affine immersionpara-complex vector bundlepara-holomorphic affine immersionpara-holomorphic vector bundle

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Connections (general theory) (53C05) Affine differential geometry (53A15)

Related Items

Para-\(tt^*\)-bundles on the tangent bundle of an almost para-complex manifold ⋮ On para-complex affine hyperspheres ⋮ On \(\widetilde{J}\)-tangent affine hyperspheres ⋮ Surfaces of prescribed mean curvature vector in semi-Riemannian manifolds ⋮ Harmonic bundle solutions of topological-antitopological fusion in para-complex geometry ⋮ Relative nullity distributions, an affine immersion from an almost product manifold and a para-pluriharmonic isometric immersion ⋮ On 3 -dimensional e J -tangent centro-affine hypersurfaces and e J -tangent affine hyperspheres with some null-directions ⋮ A note on para-holomorphic Riemannian–Einstein manifolds ⋮ Parallel almost paracontact structures on affine hypersurfaces

Cites Work

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• The fundamental theorems for affine immersions into hyperquadrics and applications
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• On the geometry of affine Kähler immersions
• Self-duality in four-dimensional Riemannian geometry