Anti-Kaehlerian Manifolds

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dc.creatorBorowiec, A.
dc.creatorFrancaviglia, M.
dc.creatorVolovich, I.
dc.date1999-06-13
dc.date.accessioned2026-07-07T04:32:51Z
dc.date.available2026-07-07T04:32:51Z
dc.descriptionAn anti-Kaehlerian manifold is a complex manifold with an anti-Hermitian metric and a parallel almost complex structure. It is shown that a metric on such a manifold must be the real part of a holomorphic metric. It is proved that all odd Chern numbers of an anti-Kaehlerian manifold vanish and that complex parallelisable manifolds (in particular the factor space G/D of a complex Lie group G over the discrete subgroup D) are anti-Kaehlerian manifolds. A method of generating new solutions of Einstein equations by using the theory of anti-Kaehlerian manifolds is presented.
dc.description12 pages in LaTeX
dc.identifierhttps://arxiv.org/abs/math-ph/9906012
dc.identifierhttp://arxiv.org/abs/math-ph/9906012
dc.identifierDiffer.Geom.Appl. 12 (2000) 281
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58346
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleAnti-Kaehlerian Manifolds
dc.typetext

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