On δ-homogeneous Riemannian manifolds

By V. Berestovskii, Yu. G. Nikonorov. Springer Monographs in Mathematics, 2007

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We continue the study of the δ-homogeneous Riemannian manifolds defined in a more general case by V. N. Berestovskiĭ and C. P. Plaut. Each of these manifolds has nonnegative sectional curvature. We prove in particular that every naturally reductive compact homogeneous Riemannian manifold of positive Euler characteristic is δ-homogeneous.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

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