Results 11 to 20 of about 1,583 (217)
Дифференциальная геометрия многообразий фигур, 2019 Almost contact metric (аст-)structures induced on oriented hypersurfaces of a Kählerian manifold are considered in the case when these аст-structures are of cosymplectic type, i. e. the contact form of these structures is closed. As it is known, the
G. Banaru
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Lie groups as 3-dimensional almost contact B-metric manifolds [PDF]
Journal of Geometry, 2014 The object of investigations are almost contact B-metric structures on 3-dimensional Lie groups considered as smooth manifolds. There are established the existence and some geometric characteristics of these manifolds in all basic classes. An example is given as a support of obtained results.
Manev, Hristo, Mekerov, Dimitar
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On the structure tensors of almost contact B-metric manifolds [PDF]
Filomat, 2015 The space of the structure (0,3)-tensors of the covariant derivatives of the structure endomorphism and the metric on almost contact B-metric manifolds is considered. A known decomposition of this space in orthogonal and invariant subspaces with respect to the action of the structure group is used.
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On the Classifying of the Tangent Sphere Bundle with Almost Contact B-Metric Structure
پژوهشهای ریاضی, 2021 One of the classical fundamental motifs in differential geometry of manifolds is the notion of the almost contact structure. As a counterpart of the almost contact metric structure, the notion of the almost contact B-metric structure has been an ...
Esmaeil Peyghan, Farshad Firuzi
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Almost contact metric 3-submersions
International Journal of Mathematics and Mathematical Sciences, 1984 An almost contact metric 3-submersion is a Riemannian submersion, π from an almost contact metric manifold (M4m+3,(φi,ξi,ηi)i=13,g) onto an almost quaternionic manifold (N4n,(Ji)i=13,h) which commutes with the structure tensors of type (1,1);i.e., π*φi ...
Bill Watson
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NATURAL CONNECTION WITH TOTALLY SKEW-SYMMETRIC TORSION ON ALMOST CONTACT MANIFOLDS WITH B-METRIC [PDF]
International Journal of Geometric Methods in Modern Physics, 2012 A natural connection with totally skew-symmetric torsion on almost contact manifolds with B-metric is constructed. The class of these manifolds, where the considered connection exists, is determined. Some curvature properties for this connection, when the corresponding curvature tensor has the properties of the curvature tensor for the Levi-Civita ...
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Almost Ricci-like solitons with torse-forming vertical potential of constant length on almost contact B-metric manifolds [PDF]
Journal of Geometry and Physics, 2021 A generalization of Ricci-like solitons with torse-forming potential, which is a constant multiple of the Reeb vector field, is studied. The conditions under which these solitons are equivalent to almost Einstein-like metrics are given. Some results are obtained for a parallel symmetric second-order covariant tensor.
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Almost contact B-metric manifolds with curvature tensors of Kähler type
, 2012 12 ...
Manev, Mancho, Ivanova, Miroslava
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Some Results on Almost Contact Manifolds with B-Metric
Fundamentals of Contemporary Mathematical SciencesIn this work, almost contact B-metric manifolds and almost complex manifolds with Norden metric are considered. Almost complex manifolds with a Norden metric are obtained by the product of almost contact B-metric manifolds with R, where almost complex structure and metric on the product manifold depend on two functions of R.
Nilüfer Özdemir, Elanur Eren
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Radical Screen Transversal Half Lightlike Submanifolds of Almost Contact B-metric Manifolds [PDF]
, 2020 We introduce a class of half lightlike submanifolds of almost contact B-metric manifolds and prove that such submanifolds are semi-Riemannian with respect to the associated B-metric. Object of investigations are also minimal of the considered submanifolds and a non-trivial example for them is given.
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