most citedInvariant metric -structures on specific homogeneous reductive spaces

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Invariant metric -structures on specific homogeneous reductive spaces

Anna Sakovich

For homogeneous reductive spaces G/H with reductive complements decomposable into an orthogonal sum \mathfrak{m}=\mathfrak{m}_1 \oplus \mathfrak{m}_2 \oplus \mathfrak{m}_3 of three…

math.DG2005

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

Vitaly V. Balashchenko, Anna Sakovich

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…