Calibrated Associative and Cayley Embeddings
Calibrated Associative and Cayley Embeddings
Using the Cartan-Kähler theory, and results on real algebraic structures, we prove two embedding theorems.First, the interior of a smooth, compact 3-manifold may be isometrically embedded into a G 2 -manifold as an associative submanifold.Second, the interior of a smooth, compact 4-manifold K, whose double doub(K) has a trivial bundle …