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On δ-homogeneous Riemannian manifolds. II

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Abstract

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.

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Authors and Affiliations

  1. Omsk Branch of the Sobolev Institute of Mathematics, Omsk, Russia

    V. N. Berestovskiĭ

  2. Rubtsovsk Industrial Institute, Rubtsovsk, Russia

    Yu. G. Nikonorov

Authors
  1. V. N. Berestovskiĭ
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  2. Yu. G. Nikonorov
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Corresponding author

Correspondence to V. N. Berestovskiĭ.

Additional information

Original Russian Text Copyright © 2009 Berestovskiĭ V. N. and Nikonorov Yu. G.

The authors were supported by the State Maintenance Program for the Leading Scientific Schools of the Russian Federation (Grant NSh-5682.2008.1). The first author was partially supported by the Russian Foundation for Basic Research (Grant 08-01-00067-a).

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Omsk; Rubtsovsk. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 50, No. 2, pp. 267–278, March–April, 2009.

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Berestovskiĭ, V.N., Nikonorov, Y.G. On δ-homogeneous Riemannian manifolds. II. Sib Math J 50, 214–222 (2009). https://doi.org/10.1007/s11202-009-0024-5

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