6 citations · 17 across the 12 of their papers we have counts for
13 papers
On generalized plastic structures
Adara M. Blaga, Antonella Nannicini
We introduce the concept of generalized almost plastic structure, and, on a pseudo-Riemannian manifold endowed with two -tensor fields satisfying some compatibility conditio…
Canonical connections attached to generalized quaternionic and para-quaternionic structures
Adara M. Blaga, Antonella Nannicini
We put into light some generalized almost quaternionic and almost para-quaternionic structures and characterize their integrability with respect to a -bracket on the genera…
Conformal-projective transformations on statistical and semi-Weyl manifolds with torsion
Adara M. Blaga, Antonella Nannicini
We show that statistical and semi-Weyl structures with torsion are invariant under conformal-projective transformations. We prove that a non-degenerate submanifold of a semi-Weyl (…
Almost complex parallelizable manifolds: Kodaira dimension and special structures
Andrea Cattaneo, Antonella Nannicini, Adriano Tomassini
We study the Kodaira dimension of a real parallelizable manifold , with an almost complex structure in standard form with respect to a given parallelism. For we…
On Kodaira dimension of almost complex 4-dimensional solvmanifolds without complex structures
Andrea Cattaneo, Antonella Nannicini, Adriano Tomassini
The aim of this paper is to continue the study of Kodaira dimension for almost complex manifolds, focusing on the case of compact -dimensional solvmanifolds without any integrab…
-connections in generalized geometry
Adara M. Blaga, Antonella Nannicini
We consider a family of -connections defined by a pair of generalized dual quasi-statistical connections on the generalized tangent bundle $(TM\o…
Kodaira dimension of almost Kähler manifolds and curvature of the canonical connection
Andrea Cattaneo, Antonella Nannicini, Adriano Tomassini
The notion of Kodaira dimension has recently been extended to general almost complex manifolds. In this paper we focus on the Kodaira dimension of almost Kähler manifolds, providin…
Harmonic metallic structures
Adara M. Blaga, Antonella Nannicini
The concept of harmonic metallic structure on a metallic pseudo-Riemannian manifold is introduced. In the case of compact manifolds we prove that harmonicity of a metallic structur…
Foliations induced by metallic structures
Adara M. Blaga, Antonella Nannicini
We give necessary and sufficient conditions for the real distributions defined by a metallic pseudo-Riemannian structure to be integrable and geodesically invariant, in terms of as…
On the geometry of metallic pseudo-Riemannian structures
Adara M. Blaga, Antonella Nannicini
We generalize the notion of metallic structure in the pseudo-Riemannian setting, define the metallic Norden structure and study its integrability. We consider metallic maps between…
Generalized quasi-statistical structures
Adara M. Blaga, Antonella Nannicini
Given a non-degenerate -tensor field on a smooth manifold , we consider a natural generalized complex and a generalized product structure on the generalized tangent b…
Generalized metallic structures
Adara M. Blaga, Antonella Nannicini
We study the properties of a generalized metallic, a generalized product and a generalized complex structure induced on the generalized tangent bundle of by a metallic Riemanni…
Norden structures on cotangent bundles
Antonella Nannicini
We study prolongation of Norden structures on manifolds to their generalized tangent bundles and to their cotangent bundles. In particular, by using methods of generalized geometry…