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Almost contact metric and metallic Riemannian structures
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2020 Summary: The metallic structure is a fascinating topic that continually generates new ideas. In this work, new metallic manifolds are constructed starting from both almost contact metric manifolds and we obtain some important notions like the metallic deformation. We show that there exists a correspondence between the metallic Riemannian structures and
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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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Pair of associated Schouten-van Kampen connections adapted to an almost contact B-metric structure
, 2015 There are introduced and studied a pair of associated Schouten-van Kampen affine connections adapted to the contact distribution and an almost contact B-metric structure generated by the pair of associated B-metrics and their Levi-Civita connections.
Manev, Mancho
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, 2020 Largely extended version. Added part concerning bi-Legendrian structure of almost paracontact metric manifold with contact characteristic ...
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Canonical-type connection on almost contact manifolds with B-metric
, 2013 The canonical-type connection on the almost contact manifolds with B-metric is constructed. It is proved that its torsion is invariant with respect to a subgroup of the general conformal transformations of the almost contact B-metric structure. The basic
A. Lichnerowicz +25 more
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Einstein-Weyl structures on almost contact metric manifolds [PDF]
Tsukuba Journal of Mathematics, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Almost Contact Metric Structures on 5-Dimensional Nilpotent Lie Algebras [PDF]
Symmetry, 2016 We study almost contact metric structures on 5-dimensional nilpotent Lie algebras and investigate the class of left invariant almost contact metric structures on corresponding Lie groups. We determine certain classes that a five-dimensional nilpotent Lie group can not be equipped with.
Ozdemir, Nulifer +2 more
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Examples of Almost Para-Contact Metric Structures on 5-dimensions
Fundamental Journal of Mathematics and Applications, 2022 In this study, the classes of several almost paracontact metric structures on 5 dimensional nilpotent Lie algebras are determined. It is also shown that there are no $\eta-$ Einstein structures on 5 dimensional nilpotent Lie algebras.
KOCABAŞ, Ümmü, AKTAY, Şirin
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On some Lie groups as 5-dimensional almost contact B-metric manifolds with three natural connections [PDF]
, 2014 Almost contact manifolds with B-metric are considered. There are studied three natural connections (i.e. linear connections preserving the structure tensors) determined by conditions for their torsions.
Ivanova, Miroslava, Manev, Hristo
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Almost Contact B-Metric Structure on 5-Dimensional Nilpotent Lie algebras
International Electronic Journal of Geometry, 2020 The classification of almost contact $B-$metric manifolds is considered. It is shown that $\mathcal{D}-$homothetic deformation of these manifolds in the class $\mathcal{F}_{i}$ $\left( i=0,1,4,5\right) $ remains in the same the class $\mathcal{F}_{i}$. We study almost contact $B-$metric structure on $5-$dimensional nilpotent Lie algebras. The class of
Şenay Bulut, Sevgi Enveş Ermiş
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