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Conjugate connections and statistical structures on almost Norden manifolds
Marta Teofilova
Relations between conjugate connections with respect to the pair of Norden metrics and to the almost complex structure on almost Norden manifolds are studied. Conjugate connections…
Almost complex connections on almost complex manifolds with Norden metric
Marta Teofilova
A four-parametric family of linear connections preserving the almost complex structure is defined on an almost complex manifold with Norden metric. Necessary and sufficient conditi…
Lie groups as four-dimensional special complex manifolds with Norden metric
Marta Teofilova
An example of a four-dimensional special complex manifold with Norden metric of constant holomorphic sectional curvature is constructed via a two-parametric family of solvable Lie…
On a Class Almost Contact Manifolds with Norden Metric
Marta Teofilova
Certain curvature properties and scalar invariants of the manifolds belonging to one of the main classes almost contact manifolds with Norden metric are considered. An example illu…
Linear Connections on Normal Almost Contact Manifolds with Norden Metric
Marta Teofilova
Families of linear connections are constructed on almost contact manifolds with Norden metric. An analogous connection to the symmetric Yano connection is obtained on a normal almo…
Complex connections on conformal Kähler manifolds with Norden metric
Marta Teofilova
An eight-parametric family of complex connections on a class complex manifolds with Norden metric is introduced. The form of the curvature tensor with respect to each of these conn…