Convexity of spheres in a manifold without conjugate points

DOI10.1007/BF02829692zbMath1020.53035OpenAlexW2069105328MaRDI QIDQ1860622

Hemangi Shah, Akhil Ranjan

Publication date: 5 October 2003

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02829692

zbMATH Keywords

Riemannian manifoldgeodesicvector bundleStiefel-Whitney classesfocal set

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global submanifolds (53C40)

Related Items

Lens rigidity with partial data in the presence of a magnetic field, The Local Magnetic Ray Transform of Tensor Fields, Inverting the local geodesic X-ray transform on tensors, Boundary rigidity with partial data, Recovery of discontinuous Lamé parameters from exterior Cauchy data, Horosphere slab separation theorems in manifolds without conjugate points

Cites Work

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• The Lichnerowicz conjecture on harmonic manifolds
• Busemann functions in a harmonic manifold
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• Characteristic Classes. (AM-76)
• Sur les espaces riemanniens complètement harmoniques