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A semisymmetric metric connection on almost contact B−metric manifolds
TURKISH JOURNAL OF MATHEMATICS, 2021 This paper is devoted to the study of a semi-symmetric metric connection on an almost contact \(B\)-metric manifold. Recall that an almost contact manifold is a \((2n+1)\)-manifold admitting a vector-valued linear map \(\varphi\), a vector field \(\xi\) and a \(1\)-form \(\eta\) such that \[ \eta(\xi) = 1, \qquad \varphi^2 x = -x + \eta(x)\xi, \] for ...
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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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On Almost Paracontact Almost Paracomplex Riemannian Manifolds [PDF]
, 2018 Almost paracontact manifolds of an odd dimension having an almost paracomplex structure on the paracontact distribution are studied. The components of the fundamental (0,3)-tensor, derived by the covariant derivative of the structure endomorphism and the
Manev, Mancho, Tavkova, Veselina
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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 Geometry of Connections with Totally Skew-Symmetric Torsion on Manifolds with Additional Tensor Structures and Indefinite Metrics [PDF]
, 2010 This paper is a survey of results obtained by the authors on the geometry of connections with totally skew-symmetric torsion on the following manifolds: almost complex manifolds with Norden metric, almost contact manifolds with B-metric and almost ...
Gribachev, Kostadin +2 more
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Ricci-Like Solitons with Vertical Potential on Sasaki-Like Almost Contact B-Metric Manifolds [PDF]
Results in Mathematics, 2020 Ricci-like solitons on Sasaki-like almost contact B-metric manifolds are the object of study. Cases, where the potential of the Ricci-like soliton is the Reeb vector field or pointwise collinear to it, are considered. In the former case, the properties for a parallel or recurrent Ricci-tensor are studied.
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K-cosymplectic manifolds [PDF]
, 2014 In this paper we study K-cosymplectic manifolds, i.e., smooth cosymplectic manifolds for which the Reeb field is Killing with respect to some Riemannian metric.
Bazzoni, Giovanni, Goertsches, Oliver
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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 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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The odd-dimensional Goldberg Conjecture [PDF]
, 2003 An odd-dimensional version of the Goldberg conjecture was formulated and proved by Boyer and Galicki, using an orbifold analogue of Sekigawa's formulas, and an approximation argument of K-contact structures with quasi-regular ones.
Apostolov +8 more
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