Invariant f-structures on the flag manifolds SO(n)/SO(2)xSO(n-3)

Vitaly V. Balashchenko; Anna Sakovich

doi:10.1155/IJMMS/2006/89545

Invariant f-structures on the flag manifolds SO(n)/SO(2)xSO(n-3)

Differential Geometry 2007-05-23 v1

Authors: Vitaly V. Balashchenko , Anna Sakovich

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Abstract

We consider manifolds of oriented flags SO(n)/SO(2)xSO(n-3) (n>=4) as 4- and 6-symmetric spaces and indicate characteristic conditions for invariant Riemannian metrics under which the canonical f-structures on these homogeneous $\Phi$ -spaces belong to the classes Kill f, NKf and G_1f of generalized Hermitian geometry.

Keywords

flag manifold invariant f-structure symmetric space riemannian metric homogeneous phi-space generalized hermitian geometry

Cite

@article{arxiv.math/0502056,
  title  = {Invariant f-structures on the flag manifolds SO(n)/SO(2)xSO(n-3)},
  author = {Vitaly V. Balashchenko and Anna Sakovich},
  journal= {arXiv preprint arXiv:math/0502056},
  year   = {2007}
}

Comments

15 pages

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