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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 2, Pages 267–278 (Mi smj1955)  
This article is cited in 12 scientific papers (total in 12 papers)

On $\delta$-homogeneous Riemannian manifolds. II

V. N. Berestovskiia, Yu. G. Nikonorovb

a Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Science, Omsk
b Rubtsovsk Industrial Intitute, Branch of Polzunov Altai State Technical University, Rubtsovsk
Full-text PDF (342 kB) Citations (12)
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Abstract: We continue the study of the $\delta$-homogeneous Riemannian manifolds defined in a more general case by V. N. Berestovskii 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 $\delta$-homogeneous.
Keywords: homogeneous space, homogeneous space of positive Euler characteristic, geodesic orbit space, Clifford–Wolf translations, geodesic, naturally reductive homogeneous Riemannian space, Riemannian submersion.
Received: 20.09.2007
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 2, Pages 214–222
DOI: https://doi.org/10.1007/s11202-009-0024-5
Bibliographic databases:
UDC: 514.765
Language: Russian
Citation: V. N. Berestovskii, Yu. G. Nikonorov, “On $\delta$-homogeneous Riemannian manifolds. II”, Sibirsk. Mat. Zh., 50:2 (2009), 267–278; Siberian Math. J., 50:2 (2009), 214–222
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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