Equigeodesics on generalized flag manifolds with two isotropy summands

DOI10.1007/s00025-011-0149-2zbMath1316.53047OpenAlexW2087714982MaRDI QIDQ1758367

Caio J. C. Negreiros, Lino Grama

Publication date: 9 November 2012

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-011-0149-2

zbMATH Keywords

homogeneous spaceshomogeneous geodesicsgeneralized flag manifolds

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Differential geometry of homogeneous manifolds (53C30) Grassmannians, Schubert varieties, flag manifolds (14M15) Geodesics in global differential geometry (53C22)

Related Items (6)

Equigeodesics on generalized flag manifolds with \(b_2(G/K)=1\) ⋮ The symmetric space, strong isotropy irreducibility and equigeodesic properties ⋮ Equigeodesics on generalized flag manifolds with four isotropy summands ⋮ Equigeodesics on generalized flag manifolds with \(\text{G}_2\)-type \(\mathfrak{t} \)-roots ⋮ Variational results on flag manifolds: harmonic maps, geodesics and Einstein metrics ⋮ Equigeodesics on some classes of homogeneous spaces

Cites Work

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• Motion of charged particles and homogeneous geodesics in Kähler \(C\)-spaces with two isotropy summands
• Homogeneous Kähler manifolds: Paving the way towards new supersymmetric sigma models
• On curvature properties of Kähler C-spaces
• Invariant almost Hermitian structures on flag manifolds.
• On the existence of homogeneous geodesics in homogeneous Riemannian manifolds
• INVARIANT EINSTEIN METRICS ON GENERALIZED FLAG MANIFOLDS WITH TWO ISOTROPY SUMMANDS
• Riemannian flag manifolds with homogeneous geodesics
• Equigeodesics on flag manifolds

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