%0 Journal Article
%T The Laplacian Flow of Locally Conformal Calibrated G2-Structures
%A Jonatan S¨¢nchez
%A Marisa Fern¨¢ndez
%A Victor Manero
%J -
%D 2019
%R https://doi.org/10.3390/axioms8010007
%X Abstract We consider the Laplacian flow of locally conformal calibrated G 2 -structures as a natural extension to these structures of the well-known Laplacian flow of calibrated G 2 -structures. We study the Laplacian flow for two explicit examples of locally conformal calibrated G 2 manifolds and, in both cases, we obtain a flow of locally conformal calibrated G 2 -structures, which are ancient solutions, that is they are defined on a time interval of the form ( £¿ ¡Ş , T ) , where T > 0 is a real number. Moreover, for each of these examples, we prove that the underlying metrics g ( t ) of the solution converge smoothly, up to pull-back by time-dependent diffeomorphisms, to a flat metric as t goes to £¿ ¡Ş , and they blow-up at a finite-time singularity. View Full-Tex
%K locally conformal calibrated G2-structures
%K Laplacian flow
%K solvable Lie algebras
%U https://www.mdpi.com/2075-1680/8/1/7