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20122026
most citedStraight ruled surfaces in the Heisenberg group

4 citations · 10 across the 25 of their papers we have counts for

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Showing 2013Show all

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math.CV2013

Modulus of surface families and the radial stretch in the Heisenberg group

Ioannis D. Platis

We develop a modulus method for surface families inside a domain in the Heisenberg group and we prove that the stretch map between two Heisenberg spherical rings is a minimiser for…

math.MG2013

The Ptolemaean Inequality in H--type groups

Anestis Fotiadis, Ioannis D. Platis

We prove the Ptolemaean Inequality and the Theorem of Ptolemaeus in the setting of --type groups of Iwasawa--type.

math.DG2013★ 4 cited

Straight ruled surfaces in the Heisenberg group

Ioannis D. Platis

We generalise a result of Garofalo and Pauls: a horizontally minimal smooth surface embedded in the Heisenberg group is locally a (straight) ruled surface, i.e. it consists of stra…