Compact geodesic orbit spaces with a simple isotropy group

Chen, Z.; Nikolayevsky, Yuri; Nikonorov, Yu. G.

doi:10.1007/s10455-022-09877-7

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Cited by 4 publications

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“…While a complete classification of g.o. spaces is far from being accomplished, there exists a substantial body of literature on this matter; we refer to [2,5,6,21] for instance.…”

Section: Introductionmentioning

confidence: 99%

Geodesic orbit spaces in real flag manifolds

Brian

Grama

Negreiros

2020

Communications in Analysis and Geometry

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In this paper, we investigate homogeneous Riemannian geometry on real flag manifolds of the split real form of g 2 . We characterize the metrics that are invariant under the action of a maximal compact subgroup of G 2 . Our exploration encompasses the analysis of g.o. metrics and equigeodesics on the g 2 -type flag manifolds. Additionally, we explore the Ricci flow for the case where the isotropy representation has no equivalent summands, employing techniques from the qualitative theory of dynamical systems.

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“…While a complete classification of g.o. spaces is far from being accomplished, there exists a substantial body of literature on this matter; we refer to [2,5,6,21] for instance.…”

Section: Introductionmentioning

confidence: 99%