Area of intrinsic graphs in homogeneous groups

Regular seminar of the Department of Mathematics
23 November 2023
Start time 
2:30 pm
PovoZero - Via Sommarive 14, Povo (Trento)
Seminar room "1"
Target audience: 
University community
UniTrento students
Contact person: 
Andrea Pinamonti, Andrea Marchese, Paolo Bonicatto
Contact details: 
Università degli Studi Trento 38123 Povo (TN) - Staff Dipartimento di Matematica
+39 04 61/281508-1625-1701-3786-1980
Valentino Magnani (Università di Pisa)


We introduce an area formula for computing the spherical measure of an intrinsic graph of any codimension in an arbitrary homogeneous group.
Our approach only assumes that the map generating the intrinsic graph is continuously intrinsically differentiable. The important novelty lies in the notion of Jacobian, which is built by the auxiliary Euclidean distance.
The introduction of this Jacobian allows the spherical factor to appear in the area formula and enables explicit computations.

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