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 : 15 | Download : 13

Publication Date : 9999-12-31

Article Type : Makaleler

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. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.38, iss.4.