Almost Kähler Walker 4-manifolds

详细信息	查看全文 | 推荐本文 |

• 作者：J. Davidov ; J.C. D&#xed ; az-Ramos ; E. Garc&#xed ; a-R&#xed ; o ; Y. Matsushita ; O. Muš ; karov ; R. V&#xe1 ; zquez-Lorenzo
• 关键词：Walker metric ; Proper almost complex structure ; Almost K&#xe4 ; hler structure ; Einstein ; me="mml3">none ; color ; black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6TJ8-4M21T0J-3&_mathId=mml3&_user=10&_cdi=5304&_rdoc=
• 刊名：Journal of Geometry and Physics
• 出版年：2007
• 期刊代码：29_03930440
• 类别：ph
• 出版时间：February 2007
• 卷：57
• 期：3
• 页码：1075-1088
• 文件大小：303 K

摘要

It is shown that any proper almost Hermitian structure on a Walker 4-manifold is isotropic Kähler. Moreover, a local description of proper almost Kähler structures that are self-dual, me="mml1">method=retrieve&_udi=B6TJ8-4M21T0J-3&_mathId=mml1&_user=10&_cdi=5304&_rdoc=25&_acct=C000050221&_version=1&_userid=10&md5=998aef24b37bbd5a46ce7ac5999f7b05" title="Click to view the MathML source">*-Einstein or Einstein is given and it is proved that any proper strictly almost Kähler Einstein structure is self-dual, Ricci flat and me="mml2">method=retrieve&_udi=B6TJ8-4M21T0J-3&_mathId=mml2&_user=10&_cdi=5304&_rdoc=25&_acct=C000050221&_version=1&_userid=10&md5=cc015464d34798cffd50debc85470385" title="Click to view the MathML source">*-Ricci flat. This is used to supply examples of flat indefinite non-Kähler almost Kähler structures.