37 citations · 132 across the 17 of their papers we have counts for
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math.DG2005
Levi-Civita connections of flag manifolds
Anna Sakovich
For any flag manifold G/T we obtain an explicit expression of its Levi-Civita connection with respect to any invariant Riemannian metric.
math.DG2005★ 1 cited
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…