Self-dual Walker metrics with a two-step nilpotent Ricci operator
[摘要] Motivated by the theory of hyperbolic twistor spaces, we obtain a local description of self-dual Walker metrics whose traceless Ricci operator, considered as a bundle-valued 2-form, is two-step nilpotent. The Einstein condition for Walker metrics is also discussed. (c) 2006 Elsevier B.V. All rights reserved.
[发布日期] 2006-12-31 [发布机构]
[效力级别] [学科分类]
[关键词] Walker 4-manifolds;self-dual metrics;anti-self-dual metrics;nilpotent Ricci operator;Einstein metrics [时效性]
