332 citations
Showing math.DGShow all
2 papers · 1 filter
math.DG2005
A Canonical Frame for Nonholonomic Rank Two Distributions of Maximal Class
Boris Doubrov, Igor Zelenko
In 1910 E. Cartan constructed the canonical frame and found the most symmetric case for maximally nonholonomic rank 2 distributions on a 5-dimensional manifold. We solve the analog…
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…