Nell’ambito della sua attivita scientifica e didattica, Giuliano Soria si e occupato di letteratura ispanoamericana e spagnola. I suoi studi hanno privilegiato il periodo coloniale, con specifica attenzione verso i cronisti delle Indie, che per primi hanno reso testimonianza delle esplorazioni del Nuovo Mondo: tra questi figurano Francisco de Vitoria e, soprattutto, Gonzalo Fernandez de Oviedo, con le sue riflessioni sul problema dell’incontro con la popolazione indigena. Gli interessi di Soria hanno toccato l’area cubana, attraverso lo studio della produzione lirica di Cinto Vitier e soprattutto del modernista Julian del Casal, analizzata con la pubblicazione di tre libri di studio critico e di numerosi saggi, attraverso studi di natura interdisciplinare sul rapporto tra poesia e arti figurative e ricerche di carattere linguistico e di teoria del testo. Le investigazioni relative all’area nicaraguese rendono tributo al maestro del Modernismo Ruben Dario e al poeta Alfonso Cortes, mentre l’area rioplatense e presente attraverso le ricerche su autori come gli argentini Ricardo Guiraldes, Horacio Quiroga, Jorge Luis Borges, Adolfo Bioy Casares e Manuel Peyrou. Giuliano Soria si e inoltre dedicato alla letteratura spagnola con approfondimenti sul teatro spagnolo del ‘Siglo de Oro’, (Calderon de la

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Elenco delle pubblicazioni

Divisibility properties of power GCD matrices and power LCM matrices

We generalize the notions of transversally harmonic maps between foliated Riemannian manifolds into transversally biharmonic maps We show that a transversally biharmonic map into a foliated manifold of non-positive transverse curvature is transversally harmonic Then we construct examples of transversally biharmonic non-harmonic maps into foliated manifolds of positive transverse curvature We also prove that if f is a stable transversally biharmonic map into a foliated manifold of positive constant transverse sectional curvature and f satisfies the transverse conservation law, then f is a transversally harmonic map

http://icm2006.org/v_f/AbsDef/Shorts/abs_0982.pdf

Transversally biharmonic maps between foliated riemannian manifolds

Topological Geometry: SMOOTH MANIFOLDS

We study \({({\mathcal{F}}, {\mathcal{G}})}\)-harmonic maps between foliated Riemannian manifolds \({(M, {\mathcal{F}}, g)}\) and \({(N, {\mathcal{G}}, h)}\) i.e. smooth critical points ϕ : M → N of the functional \({E_T (\phi ) = \frac{1}{2} \int_M \| d_T \phi \|^2 \,d \, v_g}\) with respect to variations through foliated maps. In particular we study \({({\mathcal{F}}, {\mathcal{G}})}\)-harmonic morphisms i.e. smooth foliated maps preserving the basic Laplace equation ΔBu = 0. We show that CR maps of compact Sasakian manifolds preserving the Reeb flows are weakly stable \({({\mathcal{F}}, {\mathcal{G}})}\)-harmonic maps. We study \({({\mathcal{F}}, {\mathcal{G}}_0 )}\)-harmonic maps into spheres and give foliated analogs to Solomon’s (cf., J Differ Geom 21:151–162, 1985) results.

Harmonic maps of foliated Riemannian manifolds

We consider transversally harmonic foliated maps between two Riemannian manifolds equipped with Riemannian foliations. We give various characterisations of such maps and we study the relation between the properties ‘harmonic’ and ‘transversally harmonic’ for a given map. We also consider these problems for particular classes of manifolds: manifolds with transversally almost Hermitian foliations and Riemannian flows.

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Some remarks on transversally harmonic maps

Lorentz numbers are all couples a + ?b such that a, b are real numbers and ? 2 = 1. We study functions over Lorentz numbers and their difierentiability. We obtain basic properties about regularity, an extension result of functions on manifolds and an implicit function theorem in the case of one or more variables. Then, we consider manifolds modelled on Lorentz numbers and, as a particular case, we obtain paracomplex manifolds.

http://www.mathem.pub.ro/dgds/v16/D16-di-890.pdf

On difierentable functions over Lorentz numbers and their geometric applications

We consider a Riemannian manifold with a compatible f-structure which admits a parallelizable kernel. With some additional integrability conditions it is called (almost) \({\mathcal{K}}, {\mathcal{C}}, {\mathcal{S}}\)-manifold and is a natural generalization of the (almost) contact metric and the Sasakian manifolds. There are presented various methods of constructing examples of such manifolds. There are used structures on the principal bundles and the pull-back bundles. Then there are considered relations between (almost) \({\mathcal{K}}, {\mathcal{C}}, {\mathcal{S}}\)-manifolds and transverse almost Hermitian structures on the foliated manifolds.

Examples of a generalization of contact metric structures on fibre bundles

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Jerzy J. Konderak

Papers

Some remarks on transversally harmonic maps

On difierentable functions over Lorentz numbers and their geometric applications

Examples of a generalization of contact metric structures on fibre bundles

On the flatness of a class of metric f-manifolds

Reduction theorems for manifolds with degenerate 2-form