Equigeodesics on generalized flag manifolds with \(\text{G}_2\)-type \(\mathfrak{t} \)-roots

zbMath1456.53041arXiv2002.11558MaRDI QIDQ2215990

Marina Statha

Publication date: 15 December 2020

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.11558

zbMATH Keywords

\(\mathfrak{t} \)-rootsisotropy summandspainted Dynkin diagrams

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical computation of solutions to systems of equations (65H10) Differential geometry of homogeneous manifolds (53C30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Geodesics in global differential geometry (53C22)

Related Items (3)

The symmetric space, strong isotropy irreducibility and equigeodesic properties ⋮ Equigeodesics on generalized flag manifolds with four isotropy summands ⋮ Equigeodesics on some classes of homogeneous spaces

Cites Work

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• Invariant Einstein metrics on flag manifolds with four isotropy summands
• Invariant Kähler-Einstein metrics on compact homogeneous spaces
• Equigeodesics on generalized flag manifolds with two isotropy summands
• HOMOGENEOUS EINSTEIN METRICS ON GENERALIZED FLAG MANIFOLDS WITH FIVE ISOTROPY SUMMANDS
• HOMOGENEOUS EINSTEIN METRICS ON GENERALIZED FLAG MANIFOLDS WITH G₂-TYPE 𝔱-ROOTS
• Riemannian flag manifolds with homogeneous geodesics
• Equigeodesics on flag manifolds

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