12 citations · 16 across the 9 of their papers we have counts for
9 papers · 1 filter
Intrinsically harmonic forms and characterization of flat circle bundles
Elizeu França, Francesco Mercuri
We establish a criterion for the flatness of a principal circle bundle in terms of the intrinsically harmonic form problem. It states that the flatness is equivalent to the intrins…
Riemannian Hilbert manifolds
Leonardo Biliotti, Francesco Mercuri
In this article we collect results obtained by the authors jointly with other authors and we discuss old and new ideas. In particular we discuss singularities of the exponential ma…
The Gauss map of a complete minimal surface with finite total curvature
Luquesio P. Jorge, Francesco Mercuri
In [15] Robert Osserman proved that the image of the Gauss map of a complete, non flat minimal surface in R^3 with finite total curvature miss at most 3 points. In this paper we pr…
Minimal surfaces in 4-dimensional Lorentzian Damek-Ricci spaces
Adriana A. Cintra, Francesco Mercuri, Irene I. Onnis
In this paper we will construct a Weierstrass type representation for minimal surfaces in 4-dimensional Lorentzian Damek-Ricci spaces and we give some examples of such surfaces.
The Björling problem for minimal surfaces in a Lorentzian three-dimensional Lie group
Adriana A. Cintra, Francesco Mercuri, Irene I. Onnis
In this paper we will show the existence and uniqueness of the solution of the Björling problem for minimal surfaces in a 3-dimensional Lorentzian Lie group.
Properly discontinuous actions on Hilbert manifolds
Leonardo Biliotti, Mercuri Francesco
In this article we study properly discontinuous actions on Hilbert manifolds giving new examples of complete Hilbert manifolds with nonnegative, respectively nonpositive, sectional…