Motion of charged particles and homogeneous geodesics in Kähler \(C\)-spaces with two isotropy summands

DOI10.3836/tjm/1264170245zbMath1203.83005OpenAlexW2062050425MaRDI QIDQ981927

Andreas Arvanitoyeorgos, Ioannis Chrysikos

Publication date: 9 July 2010

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

Full work available at URL: https://doi.org/10.3836/tjm/1264170245

zbMATH Keywords

charged particlehomogeneous spaceKähler C-space

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Electromagnetic fields in general relativity and gravitational theory (83C50) Geodesics in global differential geometry (53C22) Local differential geometry of Hermitian and Kählerian structures (53B35) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (15)

Invariant Einstein metrics on flag manifolds with four isotropy summands ⋮ Riemannian g.o. metrics in certain \(M\)-spaces ⋮ Equigeodesics on generalized flag manifolds with \(b_2(G/K)=1\) ⋮ The classification of homogeneous Einstein metrics on flag manifolds with \(b_2(M) = 1\) ⋮ Homogeneous Einstein metrics on Stiefel manifolds associated to flag manifolds with two isotropy summands ⋮ Motion of charged particle in a class of homogeneous spaces ⋮ Geodesics in generalized Wallach spaces ⋮ Unnamed Item ⋮ Global behavior of the Ricci flow on generalized flag manifolds with two isotropy summands ⋮ INVARIANT EINSTEIN METRICS ON GENERALIZED FLAG MANIFOLDS WITH TWO ISOTROPY SUMMANDS ⋮ Equigeodesics on generalized flag manifolds with two isotropy summands ⋮ The Ricci flow approach to homogeneous Einstein metrics on flag manifolds ⋮ Einstein metrics on compact Lie groups which are not naturally reductive ⋮ New invariant Einstein-Randers metrics on Stiefel manifolds \(V_{2p}\mathbb{R}^n=\mathrm{SO}(n)/\mathrm{SO}(n-2p)\) ⋮ HOMOGENEOUS EINSTEIN METRICS ON GENERALIZED FLAG MANIFOLDS WITH FIVE ISOTROPY SUMMANDS

Cites Work

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• Hamiltonian dynamics of a charged particle
• Geodesics in reductive homogeneous spaces
• Maximally homogeneous para-CR manifolds
• Characteristic Classes and Homogeneous Spaces, I
• Riemannian flag manifolds with homogeneous geodesics
• On higher covariant derivatives of the curvature tensors of Kählerian C-spaces
• Closed Manifolds with Homogeneous Complex Structure
• Kählerian Coset Spaces of Semisimple Lie Groups
• Simpleness and closedness of circles in compact Hermitian symmetric spaces

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