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Currently displaying 1 – 2 of 2

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$p$ -minimising tangent maps and harmonic $k$ -forms

Stefano Montaldo — 1999

Bollettino dell'Unione Matematica Italiana

Si studiano le applicazioni $p$ -tangenti da $R^{m}$ a $S^{n}$ date come estensioni omogenee di $k$ -forme armoniche. Vengono ricavate condizioni necessarie sul grado $k$ affinche tali applicazioni $p$ -tangenti siano di energia minima. Una classificazione completa viene data nel caso in cui tali applicazioni tangenti di energia minima vadano da $R^{8}$ su $S^{4}$ .

A Note on Surfaces in $\mathbb{H}^{2}\times\mathbb{R}$

Stefano Montaldo; Irene I. Onnis — 2007

Bollettino dell'Unione Matematica Italiana

In this article we consider surfaces in the product space $\mathbb{H}^{2}\times\mathbb{R}$ of the hyperbolic plane $\mathbb{H}^{2}$ with the real line. The main results are: a description of some geometric properties of minimal graphs; new examples of complete minimal graphs; the local classification of totally umbilical surfaces.

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