Results 11 to 20 of about 1,807 (251)
Canonical-type connection on almost contact manifolds with B-metric [PDF]
Annals of Global Analysis and Geometry, 2012 11 pages, The final publication is available at http://www.springerlink ...
Manev, Mancho, Ivanova, Miroslava
openaire +2 more sources
Slant and Legendre null curves in 3-dimensional Sasaki-like almost contact B-metric manifolds [PDF]
Journal of Geometry, 2021 23 pages.
Nakova, Galia, Zamkovoy, Simeon
openaire +3 more sources
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 ...
openaire +1 more source
Ricci-like solitons on almost contact B-metric manifolds [PDF]
Journal of Geometry and Physics, 2020 Ricci-like solitons with potential Reeb vector field are introduced and studied on almost contact B-metric manifolds. The cases of Sasaki-like manifolds and torse-forming potentials have been considered. In these cases, it is proved that the manifold admits a Ricci-like soliton if and only if the structure is Einstein-like.
openaire +3 more sources
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
doaj +1 more source
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
openaire +3 more sources
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
doaj
Structure connection in an almost contact metric manifold [PDF]
, 1980 In 1970, semisymetric connection were studied by Yano [1] in a Riemannian manifold and in 1972 Mishra [2] studied affine connection in an almost contact Riemannian manifold.
Sinha, B. B., Yadava, S. L.
core +1 more source
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 ...
openaire +2 more sources
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.
openaire +3 more sources