Results 11 to 20 of about 8,189 (63)

Pair of Associated η-Ricci–Bourguignon Almost Solitons with Vertical Torse-Forming Potential on Almost Contact Complex Riemannian Manifolds

Mathematics
Each of the studied manifolds has a pair of B-metrics, interrelated by an almost contact structure. The case where each of these metrics gives rise to an η-Ricci–Bourguignon almost soliton, where η is the contact form, is studied.
Mancho Manev
doaj   +2 more sources

Yamabe Solitons on Some Conformal Almost Contact B-Metric Manifolds

Mathematics, 2022
A Yamabe soliton is defined on an arbitrary almost-contact B-metric manifold, which is obtained by a contact conformal transformation of the Reeb vector field, its dual contact 1-form, the B-metric, and its associated B-metric.
Mancho Manev
doaj   +1 more source

Transversal Jacobi Operators in Almost Contact Manifolds

Mathematics, 2020
Along a transversal geodesic γ whose tangent belongs to the contact distribution D, we define the transversal Jacobi operator Rγ=R(·,γ˙)γ˙ on an almost contact Riemannian manifold M.
Jong Taek Cho, Makoto Kimura
doaj   +1 more source

Almost Riemann Solitons with Vertical Potential on Conformal Cosymplectic Contact Complex Riemannian Manifolds

Symmetry, 2022
Almost-Riemann solitons are introduced and studied on an almost contact complex Riemannian manifold, i.e., an almost-contact B-metric manifold, which is obtained from a cosymplectic manifold of the considered type by means of a contact conformal transformation of the Reeb vector field, its dual contact 1-form, the B-metric, and its associated B-metric.
openaire   +2 more sources

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
core   +2 more sources

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
core   +1 more source

Quantum ergodicity and quantum limits for sub-Riemannian Laplacians [PDF]

, 2015
This paper is a proceedings version of \cite{CHT-I}, in which we state a Quantum Ergodicity (QE) theorem on a 3D contact manifold, and in which we establish some properties of the Quantum Limits (QL). We consider a sub-Riemannian (sR) metric on a compact
de Verdière, Yves Colin, Hillairet, Luc, Trélat, Emmanuel   +2 more
core   +4 more sources

Bi-paracontact structures and Legendre foliations [PDF]

, 2002
We study almost bi-paracontact structures on contact manifolds. We prove that if an almost bi-paracontact structure is defined on a contact manifold $(M,\eta)$, then under some natural assumptions of integrability, $M$ carries two transverse bi ...
Kofinas, G., Papantonopoulos, E., Zamarias, V.   +2 more
core   +7 more sources

On Eta-Einstein Sasakian Geometry [PDF]

, 2005
We study eta-Einstein geometry as a class of distinguished Riemannian metrics on contact metric manifolds. In particular, we use a previous solution of the Calabi problem for Sasakian geometry to prove the existence of eta-Einstein structures on many ...
Boyer, Charles P., Galicki, Krzysztof, Matzeu, Paola   +2 more
core   +2 more sources

On Lagrangian submersions

, 2014
In this paper, we study Riemannian, anti-invariant Riemannian and Lagrangian submersions. We prove that the horizontal distribution of a Lagrangian submersion from a Kaehlerian manifold is integrable.
Taştan, Hakan Mete
core   +1 more source