Homogeneity and Curvatures of Geodesic Spheres

• Autores: José Carlos Díaz-Ramos , Eduardo García Río , Lieven Vanhecke
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 149, Nº 4, 2006, págs. 303-322
• Idioma: inglés
• DOI: 10.1007/s00605-006-0385-9
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• Resumen

  • We study some scalar curvature invariants on geodesic spheres and use them to characterize several kinds of Riemannian manifolds such as homogenous manifolds and in particular, the two-point homogeneous spaces and the Damek-Ricci spaces.