The Blaschke conjecture and great circle fibrations of spheres

DOI10.1353/ajm.2004.0039zbMath1074.53004arXivmath/0112027OpenAlexW3102722613WikidataQ123349666 ScholiaQ123349666MaRDI QIDQ4662039

Benjamin McKay

Publication date: 30 March 2005

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0112027

zbMATH Keywords

Blaschke conjecturegreat circle fibrations

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global Riemannian geometry, including pinching (53C20)

Related Items (9)

Great circle fibrations and contact structures on odd-dimensional spheres ⋮ Skew and sphere fibrations ⋮ Tangent ray foliations and their associated outer billiards ⋮ Gauss maps of harmonic and minimal great circle fibrations ⋮ On conformal submersions with geodesic or minimal fibers ⋮ Skew flat fibrations ⋮ Germs of fibrations of spheres by great circles always extend to the whole sphere ⋮ Real linear maps preserving some complex subspaces ⋮ Rigidity of the Hopf fibration

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