Results 11 to 20 of about 40,408 (229)

Canonical-type connection on almost contact manifolds with B-metric [PDF]

Annals of Global Analysis and Geometry, 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, A. Lichnerowicz, A. Strominger, D. Gribacheva, D. Gribacheva, D. Gribacheva, D. Mekerov, D.E. Blair, G. Ganchev, G. Ganchev, G. Ganchev, G. Ganchev, H. Hayden, M. Manev, M. Manev, M. Manev, M. Manev, M. Manev, Mancho Manev, Miroslava Ivanova, P. Gauduchon, S. Ivanov, S. Sasaki, S.J. Gates, T. Friedrich, T. Friedrich   +25 more
core   +2 more sources

Almost contact B-metric manifolds with curvature tensors of K\"ahler type [PDF]

, 2012
On 5-dimensional almost contact B-metric manifolds, the form of any K\"ahler-type tensor (i.e. a tensor satisfying the properties of the curvature tensor of the Levi-Civita connection in the special class of the parallel structures on the manifold) is ...
Ivanova, Miroslava, Manev, Mancho
core   +2 more sources

Natural connection with totally skew-symmetric torsion on almost contact manifolds with B-metric [PDF]

International Journal of Geometric Methods in Modern Physics, 2011
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.
Friedrich T., Ganchev G., Gaudochon P., Kobayshi S., MANCHO MANEV, Mekerov D., Mekerov D., Mekerov D.   +7 more
core   +2 more sources

Ricci-like Solitons with Arbitrary Potential and Gradient Almost Ricci-like Solitons on Sasaki-like Almost Contact B-metric Manifolds

Results in Mathematics, 2022
Ricci-like solitons with arbitrary potential are introduced and studied on Sasaki-like almost contact B-metric manifolds. It is proved that the Ricci tensor of such a soliton is the vertical component of both B-metrics multiplied by a constant. It is established that gradient almost Ricci-like solitons have constant soliton coefficients.
Mancho Manev
openaire   +5 more sources

Matrix Lie groups as 3-dimensional almost contact B-metric manifolds [PDF]

, 2015
The object of investigation are Lie groups considered as almost contact B-metric manifolds of the lowest dimension three. It is established a correspondence of all basic-class-manifolds of the Ganchev-Mihova-Gribachev classification of the studied ...
Manev, Hristo
core   +3 more sources

Riemannian submersions from almost contact metric manifolds

Abhandlungen Aus Dem Mathematischen Seminar Der Universitat Hamburg, 2011
In this paper we obtain the structure equation of a contact-complex Riemannian submersion and give some applications of this equation in the study of almost cosymplectic manifolds with Kaehler fibres.Comment: Abh. Math. Semin. Univ.
A. Bonome, A. Gray, A. M. Ionescu, B. O’Neill, B. Sahin, B. Watson, B. Watson, B. Watson, B. Watson, B. Watson, B.-Y. Chen, D. Chinea, D. Chinea, D.E. Blair, E. Vergara-Diaz, F. Narita, G. Băditoiu, G. E. Vîlcu, G.E. Vîlcu, G.E. Vîlcu, J. Cabrerizo, J.P. Bourguignon, M. Falcitelli, M. Falcitelli, M. Vişinescu, M.T. Mustafa, R. Escobales, R. Mocanu, R. Mocanu, S. Ianuş, S. Ianuş, S. Ianuş, S. Ianuş, S. Ianuş, S. Ianuş, S. Kobayashi, T. Tshikuna-Matamba, V. Cortés, Z. Olszak   +38 more
core   +3 more sources

A classification of the torsion tensors on almost contact manifolds with B-metric [PDF]

Open Mathematics, 2014
AbstractThe space of the torsion (0,3)-tensors of the linear connections on almost contact manifolds with B-metric is decomposed in 15 orthogonal and invariant subspaces with respect to the action of the structure group. Three known connections, preserving the structure, are characterized regarding this classification.
Manev Mancho, Ivanova Miroslava
doaj   +4 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

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

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