Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits [PDF]
, 2012 The hidden symmetries of higher dimensional Kerr-NUT-(A)dS metrics are investigated. In certain scaling limits these metrics are related to the Einstein-Sasaki ones.
Vilcu, Gabriel Eduard, Visinescu, Mihai
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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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On the geometry of almost $\mathcal{S}$-manifolds [PDF]
, 2011 An $f$-structure on a manifold $M$ is an endomorphism field $\phi$ satisfying $\phi^3+\phi=0$. We call an $f$-structure {\em regular} if the distribution $T=\ker\phi$ is involutive and regular, in the sense of Palais.
Fitzpatrick, Sean
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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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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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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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Slant Null Curves on Normal Almost Contact B-Metric 3-Manifolds with Parallel Reeb Vector Field [PDF]
Results in Mathematics, 2016 In this paper we study slant null curves with respect to the original parameter on 3-dimensional normal almost contact B-metric manifolds with parallel Reeb vector field. We prove that for non-geodesic such curves there exists a unique Frenet frame for which the original parameter is distinguished.
Manev, Hristo, Nakova, Galia
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Existence and non uniqueness of constant scalar curvature toric Sasaki metrics [PDF]
, 2010 We study compatible toric Sasaki metrics with constant scalar curvature on co-oriented compact toric contact manifolds of Reeb type of dimension at least 5.
Legendre, Eveline
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Yamabe solitons on conformal Sasaki-like almost contact B-metric manifolds
, 2022 12 ...
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