Generalized geometric structures on complex and symplectic manifolds
type: Item
instance of: scholarly article
title: Generalized geometric structures on complex and symplectic manifolds
zbMATH Open document ID: 1325.53106
author: Marcos Salvai
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 2015-09-14T00:00:00Z
full work available at URL: https://arxiv.org/abs/1309.7232
full work available at URL: http://hdl.handle.net/11336/51852
review text: Given a complex manifold \((M, j)\) the author defines six families of distinguished generalized complex structures on \(M\) compatible with \(j\). These structures on \(M\) are sections of fiber bundles over \(M\) with typical fiber \(G/H\) for some Lie groups \(G\) and \(H\). These Lie groups are determined. Analogous method is applied for symplectic manifolds.
Mathematics Subject Classification ID: 53D18
Mathematics Subject Classification ID: 22F30
Mathematics Subject Classification ID: 22F50
Mathematics Subject Classification ID: 53B30
Mathematics Subject Classification ID: 53B35
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 53C56
Mathematics Subject Classification ID: 53D05
zbMATH DE Number: 6482019
zbMATH Keywords: generalized complex structure
zbMATH Keywords: interpolation
zbMATH Keywords: Kähler
zbMATH Keywords: hypercomplex
zbMATH Keywords: signature
reviewed by: Andreas Arvanitoyeorgos
MaRDI profile type: Publication
OpenAlex ID: W3104761333
arXiv ID: 1309.7232
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DOI: 10.1007/S10231-014-0431-5
description: scientific article