Transformations of locally conformally Kähler manifolds

Content Provider	Semantic Scholar
Author	Moroianu, Andrei Ornea, Liviu
Copyright Year	2009
Abstract	We consider several transformation groups of a locally conformally Kähler manifold and discuss their inter-relations. Among other results, we prove that all conformal vector fields on a compact Vaisman manifold which is neither locally conformally hyperkähler nor a diagonal Hopf manifold are Killing, holomorphic and that all affine vector fields with respect to the minimal Weyl connection of a locally conformally Kähler manifold which is neither Weyl-reducible nor locally conformally hyperkähler are holomorphic and conformal.
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://gta.math.unibuc.ro/pages/manuscripta.pdf
Alternate Webpage(s)	https://hal.archives-ouvertes.fr/file/index/docid/413507/filename/2009mm.pdf
Alternate Webpage(s)	http://arxiv.org/pdf/0812.3002v2.pdf
Alternate Webpage(s)	https://hal.archives-ouvertes.fr/hal-00347485/document
Alternate Webpage(s)	http://arxiv.org/pdf/0812.3002v1.pdf
Language	English
Access Restriction	Open
Subject Keyword	Hopf bifurcation Mathematics Subject Classification Statistical manifold cell transformation
Content Type	Text
Resource Type	Article