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Holomorphic harmoni...
Holomorphic harmonic morphisms from four-dimensional non-Einstein manifolds
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- Gudmundsson, Sigmundur (författare)
- Lund University,Lunds universitet,Differential Geometry,Forskargrupper vid Lunds universitet,Matematik (naturvetenskapliga fakulteten),Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Lund University Research Groups,Mathematics (Faculty of Sciences),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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(creator_code:org_t)
- 2015
- 2015
- Engelska.
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Ingår i: International Journal of Mathematics. - 0129-167X. ; 26:1
- Relaterad länk:
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http://dx.doi.org/10...
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https://lup.lub.lu.s...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- We construct 4-dimensional Riemannian Lie groups carrying left-invariant conformal foliations with minimal leaves of codimension 2. We show that these foliations are holomorphic with respect to an (integrable) Hermitian structure which is not Kähler. We then prove that the Riemannian Lie groups constructed are not Einstein manifolds. This answers an important open question in the theory of complex-valued harmonic morphisms from Riemannian 4-manifolds.
Ämnesord
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
Nyckelord
- harmonic morphisms
- holomorphic foliations
- Einstein manifolds
Publikations- och innehållstyp
- art (ämneskategori)
- ref (ämneskategori)
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