Riemannian flag manifolds with homogeneous geodesics
From MaRDI portal
Publication:3433738
DOI10.1090/S0002-9947-07-04277-8zbMath1148.53038OpenAlexW1972882462WikidataQ115289078 ScholiaQ115289078MaRDI QIDQ3433738
Andreas Arvanitoyeorgos, Dimitrii V. Alekseevsky
Publication date: 2 May 2007
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-07-04277-8
Differential geometry of homogeneous manifolds (53C30) Grassmannians, Schubert varieties, flag manifolds (14M15) Geodesics in global differential geometry (53C22)
Related Items (71)
On Lagrangian and Hamiltonian systems with homogeneous trajectories ⋮ Geodesic orbit Riemannian structures on \(\mathbf{R}^n\) ⋮ Geodesic orbit metrics in compact homogeneous manifolds with equivalent isotropy submodules ⋮ Four-dimensional pseudo-Riemannian g.o. spaces and manifolds ⋮ The Chebyshev norm on the Lie algebra of the motion group of a compact homogeneous Finsler manifold ⋮ Invariant Einstein metrics on flag manifolds with four isotropy summands ⋮ Optimization on flag manifolds ⋮ Geodesic orbit metrics on compact simple Lie groups arising from flag manifolds ⋮ Riemannian generalized C-spaces with homogeneous geodesics ⋮ Riemannian g.o. metrics in certain \(M\)-spaces ⋮ Equigeodesics on generalized flag manifolds with \(b_2(G/K)=1\) ⋮ Two-step homogeneous geodesics in pseudo-Riemannian manifolds ⋮ Rigidity of negatively curved geodesic orbit Finsler spaces ⋮ Geodesic orbit metrics in a class of homogeneous bundles over real and complex Stiefel manifolds ⋮ On the structure of geodesic orbit Riemannian spaces ⋮ Ricci flow on certain homogeneous spaces ⋮ Flag manifolds, symmetric \(\mathfrak t\)-triples and Einstein metrics ⋮ Geodesics as products of one‐parameter subgroups in compact lie groups and homogeneous spaces ⋮ Invariant geodesic orbit metrics on certain compact homogeneous spaces ⋮ The classification of homogeneous Einstein metrics on flag manifolds with \(b_2(M) = 1\) ⋮ Killing vector fields of constant length on compact homogeneous Riemannian manifolds ⋮ Geodesics in generalized Wallach spaces ⋮ Flag manifold sigma models and nilpotent orbits ⋮ Sigma models as Gross-Neveu models. II ⋮ The symmetric space, strong isotropy irreducibility and equigeodesic properties ⋮ Some Finsler spaces with homogeneous geodesics ⋮ Equigeodesics on generalized flag manifolds with four isotropy summands ⋮ Geodesic orbit manifolds and Killing fields of constant length ⋮ Equigeodesics on generalized flag manifolds with \(\text{G}_2\)-type \(\mathfrak{t} \)-roots ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On invariant Riemannian metrics on Ledger-Obata spaces ⋮ Structure of geodesics in weakly symmetric Finsler metrics on H-type groups ⋮ Geodesic graphs in Randers g.o. spaces ⋮ Variational aspects of homogeneous geodesics on generalized flag manifolds and applications ⋮ A low-energy limit of Yang-Mills theory on de Sitter space ⋮ On the existence of homogeneous geodesic in homogeneous Finsler spaces ⋮ Geodesic orbit Finsler spaces with \(K \geq 0\) and the (FP) condition ⋮ Geodesic orbit metrics on homogeneous spaces constructed by strongly isotropy irreducible spaces ⋮ Existence of homogeneous geodesics on homogeneous Finsler spaces of odd dimension ⋮ Homogeneous geodesics in the flag manifold \(\mathrm{SO}(2l+1)/U(l-m)\times \mathrm{SO}(2m+1)\) ⋮ On \(\delta \)-homogeneous Riemannian manifolds ⋮ Riemannian \(M\)-spaces with homogeneous geodesics ⋮ INVARIANT EINSTEIN METRICS ON GENERALIZED FLAG MANIFOLDS WITH TWO ISOTROPY SUMMANDS ⋮ Equigeodesics on generalized flag manifolds with two isotropy summands ⋮ Variational results on flag manifolds: harmonic maps, geodesics and Einstein metrics ⋮ The existence of homogeneous geodesics in homogeneous pseudo-Riemannian and affine manifolds ⋮ Constancy of Jacobi osculating rank of g.o. spaces of compact and non-compact type ⋮ Homogeneous geodesics and g.o. manifolds ⋮ Classification of generalized normal homogeneous Riemannian manifolds of positive Euler characteristic ⋮ The Ricci flow approach to homogeneous Einstein metrics on flag manifolds ⋮ Motion of charged particles and homogeneous geodesics in Kähler \(C\)-spaces with two isotropy summands ⋮ Unnamed Item ⋮ The Grassmannian of affine subspaces ⋮ Geodesic orbit metrics in a class of homogeneous bundles over quaternionic Stiefel manifolds ⋮ Almost g.o. spaces in dimensions 6 and 7 ⋮ Geodesic orbit spheres and constant curvature in Finsler geometry ⋮ Geodesic orbit Randers metrics on spheres ⋮ Invariant \({\mathcal{G}}_1\) structures on flag manifolds ⋮ Finsler spaces whose geodesics are orbits ⋮ On a class of geodesic orbit spaces with abelian isotropy subgroup ⋮ Unnamed Item ⋮ Geodesic orbit spaces of compact Lie groups of rank two ⋮ Spin structures on compact homogeneous pseudo-Riemannian manifolds ⋮ Spectral properties of Killing vector fields of constant length ⋮ Geodesic orbit Riemannian spaces with two isotropy summands. I ⋮ Compact geodesic orbit spaces with a simple isotropy group ⋮ Geodesic flows on Riemannian g.o. spaces ⋮ On Randers geodesic orbit spaces ⋮ Spectral Properties of Killing Vector Fields of Constant Length and Bounded Killing Vector Fields ⋮ HOMOGENEOUS EINSTEIN METRICS ON GENERALIZED FLAG MANIFOLDS WITH FIVE ISOTROPY SUMMANDS
Cites Work
- Homogeneous Kähler manifolds: Paving the way towards new supersymmetric sigma models
- Invariant Kähler-Einstein metrics on compact homogeneous spaces
- On geodesic graphs of Riemannian g. o. spaces
- Notes on Lie algebras.
- Weakly symmetric spaces and spherical varieties
- Coisotropic actions on compact homogeneous Kähler manifolds
- Riemannian g. o. spaces fibered over irreducible symmetric spaces
- On the existence of homogeneous geodesics in homogeneous Riemannian manifolds
- New examples of Riemannian g.o. manifolds in dimension 7
- Sur certains modules dans une algèbre de Lie semi-simple
- Holonomy and the Lie Algebra of Infinitesimal Motions of a Riemannian Manifold
- ON DIFFERENTIAL GEOMETRY AND HOMOGENEOUS SPACES. II
- Groupes et algébras de Lie
- On the Geometry of Groups of Heisenberg Type
- Nonlinear equations with superposition formulas and exceptional group G2. III. The superposition formulas
- Naturally reductive metrics and Einstein metrics on compact Lie groups
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Riemannian flag manifolds with homogeneous geodesics