Compact Solvmanifolds with a Closed G2-Structure

Autor:	Jonatan Sánchez, José A. Santisteban, Marisa Fernández
Rok vydání:	2018
Předmět:	Pure mathematics Flow (mathematics) Structure (category theory) Lie group Mathematics::Differential Geometry General Medicine Construct (python library) Mathematics::Symplectic Geometry Laplace operator Associative property Mathematics
Zdroj:	Advances in Pure Mathematics. :813-829
ISSN:	2160-0384 2160-0368
Popis:	We consider a parametrized family of compact G2-calibrated solvmanifolds, and construct associative (so volume-minimizing submanifolds) 3-tori with respect to the closed G2-structure. We also study the Laplacian flow of this closed G2 form on the solvable Lie group underlying to each of these solvmanifolds, and show long time existence of the solution.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f7bf19c667f4f0c0d2e6cdaf4e6f9fce https://doi.org/10.4236/apm.2018.811050 Zobrazit plný text záznamu