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Geodesic orbit metrics in a class of homogeneous bundles over real and complex Stiefel manifolds

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1 Published in 2021 at "Geometriae Dedicata"

DOI: 10.1007/s10711-021-00639-6

Abstract: Geodesic orbit spaces (or g.o. spaces) are defined as those homogeneous Riemannian spaces $$(M=G/H,g)$$ whose geodesics are orbits of one-parameter subgroups of G. The corresponding metric g is called a geodesic orbit metric. We study… read more here.

Keywords: geodesic orbit; metrics class; orbit metrics; stiefel manifolds ... See more keywords

Geodesic orbit spaces of compact Lie groups of rank two

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3 Published in 2022 at "Geometriae Dedicata"

DOI: 10.1007/s10711-021-00668-1

Abstract: Geodesic orbit spaces are those Riemannian homogeneous spaces (G/H,g) whose geodesics are orbits of one-parameter subgroups of G. We classify the simply connected geodesic orbit spaces where G is a compact Lie group of rank… read more here.

Keywords: spaces compact; compact lie; orbit spaces; rank two ... See more keywords

Geodesic orbit metrics on compact simple Lie groups arising from flag manifolds

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1 Published in 2018 at "Comptes Rendus Mathematique"

DOI: 10.1016/j.crma.2018.06.004

Abstract: Abstract In this paper, we investigate left-invariant geodesic orbit metrics on connected simple Lie groups, where the metrics are formed by the structures of flag manifolds. We prove that all these left-invariant geodesic orbit metrics… read more here.

Keywords: geodesic orbit; simple lie; flag manifolds; lie groups ... See more keywords

On left-invariant Einstein metrics that are not geodesic orbit

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1 Published in 2019 at "Comptes Rendus Mathematique"

DOI: 10.1016/j.crma.2019.07.003

Abstract: Abstract In this article, we prove that compact simple Lie groups SO ( n ) ( n > 12 ) admit at least two left-invariant Einstein metrics that are not geodesic orbit, which gives a… read more here.

Keywords: geodesic orbit; einstein metrics; invariant einstein; metrics geodesic ... See more keywords

Geodesic orbit metrics in a class of homogeneous bundles over quaternionic Stiefel manifolds

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0 Published in 2021 at "Journal of Geometry and Physics"

DOI: 10.1016/j.geomphys.2021.104223

Abstract: Abstract Geodesic orbit spaces (or g.o. spaces) are defined as those homogeneous Riemannian spaces ( M = G ∕ H , g ) whose geodesics are orbits of one-parameter subgroups of G . The corresponding… read more here.

Keywords: geodesic orbit; orbit metrics; stiefel manifolds; orbit ... See more keywords