×

Geodesic mappings on compact Riemannian manifolds with conditions on sectional curvature. (English) Zbl 1473.53062

Summary: We found new criteria for sectional curvatures on compact Riemannian manifolds for which geodesic mappings are affine, and, moreover, homothetic.

MSC:

53C20 Global Riemannian geometry, including pinching
53C21 Methods of global Riemannian geometry, including PDE methods; curvature restrictions
53C24 Rigidity results
PDF BibTeX XML Cite
Full Text: DOI