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The Mean Curvature of Transverse Kähler FoliationsShow simple item record

dc.creatorDal Jung, Seoung
dc.creatorRichardson, Ken
dc.date.accessioned2020-05-11T16:12:56Z
dc.date.available2020-05-11T16:12:56Z
dc.date.issued2019-02-12
dc.identifier.urihttps://doi.org/10.25537/dm.2019v24.995-1031
dc.identifier.urihttps://repository.tcu.edu/handle/116099117/39759
dc.identifier.urihttps://www.elibm.org/article/10011968
dc.description.abstractWe study properties of the mean curvature one-form and its holomorphic and antiholomorphic cousins on a transverse Kähler foliation. If the mean curvature of the foliation is automorphic, then there are some restrictions on basic cohomology similar to that on Kähler manifolds, such as the requirement that the odd basic Betti numbers must be even. However, the full Hodge diamond structure does not apply to basic Dolbeault cohomology unless the foliation is taut.
dc.language.isoenen_US
dc.publisherDeutsche Mathematiker-Vereinigung
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceDocumenta Mathematica
dc.subjectRiemannian foliation
dc.subjecttransverse Kähler foliation
dc.subjectLefschetz decomposition
dc.subjectmean curvature
dc.titleThe Mean Curvature of Transverse Kähler Foliations
dc.typeArticle
dc.rights.holder2018 FIZ Karlsruhe GmbH
dc.rights.licenseCC BY 4.0
local.collegeCollege of Science and Engineering
local.departmentMathematics
local.personsRichardson (MATH)


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