Bulletin of the Belgian Mathematical Society - Simon Stevin

Homogeneous Geodesics in Generalized Wallach Spaces

Andreas Arvanitoyeorgos and Yu Wang

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We classify generalized Wallach spaces which are g.o. spaces. We also investigate homogeneous geodesics in generalized Wallach spaces for any given invariant Riemannian metric and we give some examples.

Article information

Bull. Belg. Math. Soc. Simon Stevin, Volume 24, Number 2 (2017), 257-270.

First available in Project Euclid: 23 August 2017

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Zentralblatt MATH identifier

Primary: 53C20: Global Riemannian geometry, including pinching [See also 31C12, 58B20] 53C22: Geodesics [See also 58E10] 53C30: Homogeneous manifolds [See also 14M15, 14M17, 32M10, 57T15]

Homogeneous geodesic g.o. space invariant metric geodesic vector naturally reductive space generalized Wallach space


Arvanitoyeorgos, Andreas; Wang, Yu. Homogeneous Geodesics in Generalized Wallach Spaces. Bull. Belg. Math. Soc. Simon Stevin 24 (2017), no. 2, 257--270. doi:10.36045/bbms/1503453709. https://projecteuclid.org/euclid.bbms/1503453709

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