Portal de Periódicos da CAPES

Invariant Einstein metrics on certain Stiefel manifolds

2008; Elsevier BV; Linguagem: Inglês

10.1142/9789812790613_0004

1872-6984

Andreas Arvanitoyeorgos, V. V. Dzhepko, Yu. G. Nikonorov,

Advanced Differential Geometry Research

Differential Geometry and Its Applications, pp. 35-44 (2008) No AccessInvariant Einstein metrics on certain Stiefel manifoldsA. Arvanitoyeorgos, V. V. Dzhepko, and Yu. G. NikonorovA. ArvanitoyeorgosDepartment of Mathematics, University of Patras, Rion, GR-26500, Greecewww.math.upatras.gr/~arvanito, V. V. DzhepkoRubtsovsk Industrial Institute, ul. Traktornaya, 2/6, Rubtsovsk, 658207, Russia, and Yu. G. NikonorovRubtsovsk Industrial Institute, ul. Traktornaya, 2/6, Rubtsovsk, 658207, Russiahttps://doi.org/10.1142/9789812790613_0004Cited by:3 (Source: Crossref) PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail Abstract: A Riemannian manifold (M, ρ) is called Einstein if the metric ρ satisfies the condition Ric(ρ) = c · ρ for some constant c. This paper is devoted to the investigation of G-invariant Einstein metrics with additional symmetries, on some homogeneous spaces G/H of classical groups. As a consequence, we obtain new invariant Einstein metrics on the Stiefel manifolds SO(2k+ l)/SO(l). Keywords: Riemannian manifoldsHomogeneous spacesEinstein metricsStiefel manifoldsAMSC: 53C25, 53C30 FiguresReferencesRelatedDetailsCited By 3Cited by lists all citing articles based on Crossref citation.Invariant Einstein metrics on $\mathrm{SU}(n)$ and complex Stiefel manifoldsAndreas Arvanitoyeorgos, Yusuke Sakane and Marina Statha1 Jun 2020 | Tohoku Mathematical Journal, Vol. 72, No. 2Classification of invariant Einstein metrics on certain compact homogeneous spacesZaili Yan, Huibin Chen and Shaoqiang Deng29 January 2019 | Science China Mathematics, Vol. 63, No. 4Singular Manakov flows and geodesic flows on homogeneous spaces of SO(N)V. Dragović, B. Gajić and B. Jovanović2 July 2009 | Transformation Groups, Vol. 14, No. 3 Recommended Differential Geometry and Its Applications Metrics History KeywordsRiemannian manifoldsHomogeneous spacesEinstein metricsStiefel manifoldsPDF download