Artigo de Periódico
Invariant nearly-Kähler structures
Fecha
2006Registro en:
0046-5755
v.121 n. 1
Autor
Silva, Rita de Cássia de J.
San Martin, Luiz A. B.
Silva, Rita de Cássia de J.
San Martin, Luiz A. B.
Institución
Resumen
This paper considers invariant almost Hermitian structures on a flag manifold G / P = U / K where G is a complex semi-simple Lie group, P is a parabolic subgroup of G, U is a compact real form of G and K = U ∩ P is the centralizer of a torus. The main result shows that there are nearly-Kähler structures in G / P which are not Kähler if and only if G / P has height two. This proves for the flag manifolds a conjecture by Wolf and Gray.