Symplectic, Hermitian and Kähler Structures on Walker 4-Manifolds

Autor:	Noriaki Katayama, Eduardo García-Río, Seiya Haze, Yasuo Matsushita
Rok vydání:	2008
Předmět:	Pure mathematics Mathematical analysis Field (mathematics) Kähler manifold Fubini–Study metric Hermitian matrix Hermitian manifold Canonical form Mathematics::Differential Geometry Geometry and Topology Signature (topology) Mathematics::Symplectic Geometry Symplectic geometry Mathematics
Zdroj:	Journal of Geometry. 90:56-65
ISSN:	1420-8997 0047-2468
DOI:	10.1007/s00022-008-1999-y
Popis:	We call a pseudo-Riemannian 4-manifold, which admits a field of parallel null 2-planes, a Walker 4-manifold. A pseudo-Riemannian metric of a Walker 4-manifold is necessarily of neutral signature, and it admits an orthogonal almost complex structure. We show that such a Walker 4-manifold can carry various structures with respect to a certain kind of almost complex structure, e.g., symplectic structures, Kahler structures, Hermitian structures, according as the properties of certain functions which define the canonical form of the metric. The combination of these structures are also analyzed.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2fb9f258c4b01ff6aacff4d6e018f323 https://doi.org/10.1007/s00022-008-1999-y Zobrazit plný text záznamu Full text from SpringerLink