Chern's conjecture for special affine manifolds

DOI10.4007/annals.2017.186.1.2zbMath1379.57036OpenAlexW2618848434WikidataQ123353603 ScholiaQ123353603MaRDI QIDQ2364593

Bruno Klingler

Publication date: 21 July 2017

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/50fb888426c201f41adb57a1e079739eb3dbe78a

zbMATH Keywords

affine differential geometrygeometric structures on manifolds

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Geometric structures on manifolds of high or arbitrary dimension (57N16) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15)

Related Items

Flat Vector Bundles and Open Covers ⋮ Flat affine symplectic Lie groups ⋮ Complex surfaces and null conformal Killing vector fields ⋮ An analog of Chern's conjecture for the Euler-Satake characteristic of affine orbifolds ⋮ A note on fibrations of \(G_2\)-manifolds ⋮ Vanishing simplicial volume for certain affine manifolds ⋮ On the structure of double complexes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The generalized Chern conjecture for manifolds that are locally a product of surfaces
• Foliated bundles, invariant measures and flat manifolds
• Flat manifolds with non-zero Euler characteristics
• Hypercomplex varieties
• Autour de la conjecture de L. Markus sur les variétés affines. (Around the conjecture of L. Markus on affine manifolds)
• A survey on paracomplex geometry
• Complex product structures and affine foliations
• On the existence of a connection with curvature zero
• Para-Hermitian and paraquaternionic manifolds
• Locally homogeneous geometric manifolds
• On the Geometry of the Tangent Bundle.
• Flat Bundles with Solvable Holonomy
• The Euler characteristic of an affine space form is zero
• Differential geometry of quaternionic manifolds
• Characteristic classes