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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 4, Pages 742–761 (Mi smj2455)  
This article is cited in 2 scientific papers (total in 2 papers)

Generalized normal homogeneous spheres

V. N. Berestovskiĭ

Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Omsk, Russia
Full-text PDF (415 kB) Citations (2)
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Abstract: We find new generalized normal homogeneous but not normal homogeneous Riemannian metrics on spheres of dimensions $4n+3$, $n\ge1$, and all homogeneous space forms covered by them; all these spaces have zero Euler characteristic. Deriving consequences, alongside some other new results we obtain new proofs for analogous known results for all complex projective spaces of odd complex dimension starting from three.
Keywords: geodesic orbit space, geodesic vector, $\delta$-homogeneous space, $\delta$-vector, naturally reductive space, (generalized) normal homogeneous Riemannian space, Riemannian submersion, weakly symmetric space, submetry.
Received: 27.08.2012
English version:
Siberian Mathematical Journal, 2013, Volume 54, Issue 4, Pages 588–603
DOI: https://doi.org/10.1134/S0037446613040022
Bibliographic databases:
Document Type: Article
UDC: 514.70
Language: Russian
Citation: V. N. Berestovskiǐ, “Generalized normal homogeneous spheres”, Sibirsk. Mat. Zh., 54:4 (2013), 742–761; Siberian Math. J., 54:4 (2013), 588–603
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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