Variational results on flag manifolds: harmonic maps, geodesics and Einstein metrics

DOI10.1007/S11784-011-0064-XzbMath1253.53054OpenAlexW2034498071WikidataQ126179814 ScholiaQ126179814MaRDI QIDQ1761406

Lino Grama, Caio J. C. Negreiros

Publication date: 15 November 2012

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-011-0064-x

zbMATH Keywords

equigeodesicsequiharmonic maps

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Geodesics in global differential geometry (53C22) Differential geometric aspects of harmonic maps (53C43) Root systems (17B22)

Related Items (2)

Invariant Einstein metrics on generalized flag manifolds of $Sp(n)$ and $SO(2n)$ ⋮ Invariant \({\mathcal{G}}_1\) structures on flag manifolds

Cites Work

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• Invariant Hermitian structures and variational aspects of a family of holomorphic curves on flag manifolds
• Equi-harmonic maps and Plücker formulae for horizontal-holomorphic curves on flag manifolds
• Invariant nearly-Kähler structures
• Homogeneous Kähler manifolds: Paving the way towards new supersymmetric sigma models
• Existence and non-existence of homogeneous Einstein metrics
• Invariant almost Hermitian structures on flag manifolds.
• Equigeodesics on generalized flag manifolds with two isotropy summands
• A rank-three condition for invariant (1,2)-symplectic almost Hermitian structures on flag manifolds
• Riemannian flag manifolds with homogeneous geodesics
• On normal homogeneous Einstein manifolds
• New Invariant Einstein Metrics on Generalized Flag Manifolds
• Equigeodesics on flag manifolds
• Introduction to Lie Algebras and Representation Theory
• Kählerian Coset Spaces of Semisimple Lie Groups

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