The Adjunction Inequality for Weyl-Harmonic Maps

In this paper we study an analog of minimal surfaces called Weyl-minimal surfaces in conformal manifolds with a Weyl connection (M4, c, D). We show that there is an Eells-Salamon type correspondence between nonvertical 𝒥-holomorphic curves in the weightless twistor space and branched Weyl-minimal su...

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Autor principal:	Ream Robert
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2020
Materias:	almost-complex manifolds twistor space weyl geometry 32q60 53c28 53c43 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/a530c4d1712b485f9c3a465e988b77e2
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id	oai:doaj.org-article:a530c4d1712b485f9c3a465e988b77e2
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spelling	oai:doaj.org-article:a530c4d1712b485f9c3a465e988b77e22021-12-02T17:14:47ZThe Adjunction Inequality for Weyl-Harmonic Maps2300-744310.1515/coma-2020-0007https://doaj.org/article/a530c4d1712b485f9c3a465e988b77e22020-03-01T00:00:00Zhttps://doi.org/10.1515/coma-2020-0007https://doaj.org/toc/2300-7443In this paper we study an analog of minimal surfaces called Weyl-minimal surfaces in conformal manifolds with a Weyl connection (M4, c, D). We show that there is an Eells-Salamon type correspondence between nonvertical 𝒥-holomorphic curves in the weightless twistor space and branched Weyl-minimal surfaces. When (M, c, J) is conformally almost-Hermitian, there is a canonical Weyl connection. We show that for the canonical Weyl connection, branched Weyl-minimal surfaces satisfy the adjunction inequalityReam RobertDe Gruyterarticlealmost-complex manifoldstwistor spaceweyl geometry32q6053c2853c43MathematicsQA1-939ENComplex Manifolds, Vol 7, Iss 1, Pp 129-140 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	almost-complex manifolds twistor space weyl geometry 32q60 53c28 53c43 Mathematics QA1-939
spellingShingle	almost-complex manifolds twistor space weyl geometry 32q60 53c28 53c43 Mathematics QA1-939 Ream Robert The Adjunction Inequality for Weyl-Harmonic Maps
description	In this paper we study an analog of minimal surfaces called Weyl-minimal surfaces in conformal manifolds with a Weyl connection (M4, c, D). We show that there is an Eells-Salamon type correspondence between nonvertical 𝒥-holomorphic curves in the weightless twistor space and branched Weyl-minimal surfaces. When (M, c, J) is conformally almost-Hermitian, there is a canonical Weyl connection. We show that for the canonical Weyl connection, branched Weyl-minimal surfaces satisfy the adjunction inequality
format	article
author	Ream Robert
author_facet	Ream Robert
author_sort	Ream Robert
title	The Adjunction Inequality for Weyl-Harmonic Maps
title_short	The Adjunction Inequality for Weyl-Harmonic Maps
title_full	The Adjunction Inequality for Weyl-Harmonic Maps
title_fullStr	The Adjunction Inequality for Weyl-Harmonic Maps
title_full_unstemmed	The Adjunction Inequality for Weyl-Harmonic Maps
title_sort	adjunction inequality for weyl-harmonic maps
publisher	De Gruyter
publishDate	2020
url	https://doaj.org/article/a530c4d1712b485f9c3a465e988b77e2
work_keys_str_mv	AT reamrobert theadjunctioninequalityforweylharmonicmaps AT reamrobert adjunctioninequalityforweylharmonicmaps
_version_	1718381278440456192

The Adjunction Inequality for Weyl-Harmonic Maps

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