Locally conformally cocalibrated G2-structures

Abstract

We study the condition in which G2-structures are introduced by a non closed four-form, although they are satisfying locally conformal conditions.All solutions are found in the case when the Lee form of G2-structures is non-zero and gintroduces seven-dimensional Lie algebras, The main results are given in preposition1 and theorem1.

References in corpus (4)

• Some remarks on G_2-structures
• G_2-structures with torsion from half-integrable nilmanifolds
• Remarks on the geometry of almost complex 6-manifolds
• Solvmanifolds with integrable and non-integrable G_2 structures