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https://repositorio.ufba.br/handle/ri/12411
metadata.dc.type: | Artigo de Periódico |
Title: | Invariant nearly-Kähler structures |
Other Titles: | Geometriae Dedicata |
Authors: | Silva, Rita de Cássia de J. San Martin, Luiz A. B. |
metadata.dc.creator: | Silva, Rita de Cássia de J. San Martin, Luiz A. B. |
Abstract: | 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. |
Keywords: | Almost Hermitian structures Nearly-Kähler structures Flag manifolds Semi-simple Lie groups |
URI: | http://www.repositorio.ufba.br/ri/handle/ri/12411 |
Issue Date: | 2006 |
Appears in Collections: | Artigo Publicado em Periódico (IME) |
Files in This Item:
File | Description | Size | Format | |
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10.1007_s10711-006-9095-7.pdf Restricted Access | 197,61 kB | Adobe PDF | View/Open Request a copy |
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