A note on closed G2-structures and 3-manifolds

Authors : Hyunjoo CHO, Sema SALUR, Albert TODD

Pages : 789-795

Doi:10.3906/mat-1310-12

View : 7 | Download : 8

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :This article shows that given any orientable 3-manifold X, the 7-manifold T*X \times R admits a closed G2-structure j = Re W-w \wedge dt where W is a certain complex-valued 3-form on T*X; next, given any 2-dimensional submanifold S of X, the conormal bundle N*S of S is a 3-dimensional submanifold of T*X \times R such that j|N*S\equiv 0. A corollary of the proof of this result is that N*S \times R is a 4-dimensional submanifold of T*X \times R such that j|N*S \times R\equiv 0.
Keywords : Turk J Math, 38, 2014, , 789 795 Turk J Math, vol 38, iss 4