Holomorphic harmonic morphisms from cosymplectic almost Hermitian manifolds

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• 作者：Sigmundur Gudmundsson
• 关键词：Harmonic morphisms ; Holomorphic ; Cosymplectic ; 58E20 ; 53C43 ; 53C12
• 刊名：Geometriae Dedicata
• 出版年：2015
• 出版时间：October 2015
• 年：2015
• 卷：178
• 期：1
• 页码：143-150
• 全文大小：360 KB
• 参考文献：1.Baird, P., Eells, J.: A conservation law for harmonic maps. In: Geometry Symposium Utrecht 1980, Lecture Notes in Mathematics, vol. 894. Springer, Berlin, pp. 1鈥?5 (1981)
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• 作者单位：Sigmundur Gudmundsson (1)
  
  1. Department of Mathematics, Faculty of Science, Lund University, Box 118, 221 00, Lund, Sweden
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Geometry
  
• 出版者：Springer Netherlands
• ISSN：1572-9168

文摘

We study 4-dimensional orientable Riemannian manifolds equipped with a minimal and conformal foliation \({\mathcal {F}}\) of codimension 2. We prove that the two adapted almost Hermitian structures \(J_1\) and \(J_2\) are both cosymplectic if and only if \({\mathcal {F}}\) is Riemannian and its horizontal distribution \({\mathcal {H}}\) is integrable. Keywords Harmonic morphisms Holomorphic Cosymplectic