Results 1 to 10 of about 8,257 (120)

Sasaki-like almost contact complex Riemannian manifolds

Journal of Geometry and Physics, 2016
19 ...
Stefan Ivanov, Hristo Manev, Mancho Manev   +2 more
openaire   +3 more sources

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

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
core   +3 more sources

Indefinite almost paracontact metric manifolds [PDF]

, 2009
In this paper we introduce the concept of $(\varepsilon)$-almost paracontact manifolds, and in particular, of $(\varepsilon)$-para Sasakian manifolds. Several examples are presented.
Keles, Sadik, Kilic, Erol, Perktas, Selcen Yuksel, Tripathi, Mukut Mani   +3 more
core   +5 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 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
core   +3 more sources

Sasaki-Einstein and paraSasaki-Einstein metrics from (\kappa,\mu)-structures [PDF]

, 2013
We prove that any non-Sasakian contact metric (\kappa,\mu)-space admits a canonical \eta-Einstein Sasakian or \eta-Einstein paraSasakian metric. An explicit expression for the curvature tensor fields of those metrics is given and we find the values of ...
Alegre, Alekseevsky, Alfonso Carriazo, Baum, Beniamino Cappelletti-Montano, Blair, Blair, Blair, Blair, Boeckx, Bohle, Boyer, Calderbank, Cappelletti-Montano, Cappelletti-Montano, Cappelletti-Montano, Cappelletti-Montano, Cappelletti-Montano, Cappelletti-Montano, Gosh, Ivanov, Kaneyuki, Libermann, Matzeu, Narita, Pang, Perrone, Tanno, Tanno, Tondeur, Vergara-Diaz, Verónica Martín-Molina, Zamkovoy, Zamkovoy   +33 more
core   +2 more sources

Sub-Riemannian Ricci curvatures and universal diameter bounds for 3-Sasakian manifolds [PDF]

, 2016
For a fat sub-Riemannian structure, we introduce three canonical Ricci curvatures in the sense of Agrachev-Zelenko-Li. Under appropriate bounds we prove comparison theorems for conjugate lengths, Bonnet-Myers type results and Laplacian comparison ...
Rizzi, Luca, Silveira, Pavel
core   +4 more sources

Connections on non-symmetric (generalized) Riemannian manifold and gravity

, 2015
Connections with (skew-symmetric) torsion on non-symmetric Riemannian manifold satisfying the Einstein metricity condition (NGT with torsion) are considered.
Ivanov, Stefan, Zlatanovic, Milan
core   +1 more source