СТРОЕНИЕ ПОЧТИ ЭРМИТОВЫХ СТРУКТУР ТОТАЛЬНОГО ПРОСТРАНСТВА ГЛАВНОГО T1-РАССЛОЕНИЯ С ПЛОСКОЙ СВЯЗНОСТЬЮ НАД НЕКОТОРЫМИ КЛАССАМИ ПОЧТИ КОНТ

DOI10.22405/2226-8383-2017-18-2-183-194zbMath1437.53062OpenAlexW2776037161MaRDI QIDQ5108738

I. A. Petrov

Publication date: 6 May 2020

Published in: Чебышевский сборник (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/cheb550

zbMATH Keywords

almost contact metric structurealmost Hermitian structureLee's formlocal conformityprincipal fiber \(T^1\)-bundle

Mathematics Subject Classification ID

Connections (general theory) (53C05) Almost contact and almost symplectic manifolds (53D15)

Cites Work

• Principal fibre bundles with the 1-dimensional toroidal group
• The sixteen classes of almost Hermitian manifolds and their linear invariants
• Riemannian metrics on principal circle bundles over locally symmetric Kaehlerian manifolds
• Contact manifolds in Riemannian geometry
• On the geometry of principal \(T^1\)-bundles over Hodge manifolds
• Generalization for transformations ofT¹-bundle which induced by conformal transformations of their base
• Almost Contact Metric Structures Defined by a Symplectic Structure Over a Distribution
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