Leonardo Bagaglini

activity

20162018

collaborators

5 papers

math.DG2018

An energy functional on the universal spinor bundle

Leonardo Bagaglini

We study an energy functional on the universal spinor bundle over a closed $n$ -dimensional spin manifold $M$ . The critical points of this functional, which is modelled on the total…

math.DG2017

The Laplacian coflow on almost-abelian Lie groups

Leonardo Bagaglini, Anna Fino

We find explicit solutions of the Laplacian coflow of $G_{2} -$ structures on seven-dimensional almost-abelian Lie groups. Moreover, we construct new examples of solitons for the Lapla…

math.DG2017

A flow of isometric $G_{2}$ -structures. Short-time existence

Leonardo Bagaglini

We introduce a flow of $G_{2}$ -structures defining the same underlying Riemannian metric, whose stationary points are those structures with divergence-free torsion. We show short-tim…

math.DG2017

Laplacian coflow on the 7-dimensional Heisenberg group

Leonardo Bagaglini, Marisa Fernández, Anna Fino

We study the Laplacian coflow and the modified Laplacian coflow of $G_{2}$ -structures on the $7$ -dimensional Heisenberg group. For the Laplacian coflow we show that the solution is a…

math.DG2016

Non orientable three-submanifolds of $G_{2} -$ manifolds

Leonardo Bagaglini

By analogy with associative and co-associative cases we introduce a class of three-dimensional non-orientable submanifolds, of almost $G_{2} -$ manifolds, modelled on planes l…

An energy functional on the universal spinor bundle

The Laplacian coflow on almost-abelian Lie groups

A flow of isometric G2​-structures. Short-time existence

Laplacian coflow on the 7-dimensional Heisenberg group

Non orientable three-submanifolds of G2​−manifolds

A flow of isometric $G_{2}$ -structures. Short-time existence

Non orientable three-submanifolds of $G_{2} -$ manifolds