科研之友
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摘要
This article shows that given any orientable 3-manifold X, the 7-manifold T*X x R admits a closed G(2)-structure phi = Re Omega - w Lambda dt where Omega 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 x R such that phi/N*s equivalent to 0. A corollary of the proof of this result is that N* S x R is a 4-dimensional submanifold of T* X x R such that phi/N*sxR equivalent to 0.
- 出版日期2014
