8 citations · 16 across the 15 of their papers we have counts for
Showing 2019Show all
3 papers · 1 filter
math.DG2019
Higher dimensional holonomy map for ruled submanifolds in graded manifolds
Gianmarco Giovannardi
The deformability condition for submanifolds of fixed degree immersed in a graded manifold can be expressed as a system of first order PDEs. In the particular but important case of…
math.DG2019★ 8 cited
Variational formulas for submanifolds of fixed degree
Giovanna Citti, Gianmarco Giovannardi, Manuel Ritoré
We consider in this paper an area functional defined on submanifolds of fixed degree immersed into a graded manifold equipped with a Riemannian metric. Since the expression of this…
math.MG2019
Variational formulas for curves of fixed degree
Giovanna Citti, Gianmarco Giovannardi, Manuel Ritoré
We consider a length functional for curves of fixed degree in graded manifolds equipped with a Riemannian metric. The first variation of this length functional can be compute…