Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 42, 2017, 239-256

VARIATION FORMULAS FOR H-RECTIFIABLE SETS

Mattia Fogagnolo, Roberto Monti and Davide Vittone

Università di Padova, Dipartimento di Matematica
via Trieste 63, 35121 Padova, Italy; mattia.fogagnolo 'at' gmail.com

Università di Padova, Dipartimento di Matematica
via Trieste 63, 35121 Padova, Italy; monti 'at' math.unipd.it

Università di Padova, Dipartimento di Matematica
via Trieste 63, 35121 Padova, Italy; vittone 'at' math.unipd.it

Abstract. We compute a first- and second-variation formula for the area of H-rectifiable sets in the Heisenberg group along a contact flow. In particular, the formula holds for sets with locally finite H-perimeter, with no further regularity.

2010 Mathematics Subject Classification: Primary 49Q05, 53C17.

Key words: Heisenberg group, variation formulas, contact vector fields.

Reference to this article: M. Fogagnolo, R. Monti and D. Vittone: Variation formulas for H-rectifiable sets. Ann. Acad. Sci. Fenn. Math. 42 (2017), 239-256.

Full document as PDF file

https://doi.org/10.5186/aasfm.2017.4220