Decomposition Theorems of Riemannian Manifolds

Pyng Wang
1973 Transactions of the American Mathematical Society  
Assume further that the foliation induced by one of the distribution is regular and the intersection of the two maximal integral manifolds through m contains only the point m. We use Theorem 2 to prove that M is isometric to the direct product of the two maximal integral manifolds through m (Theorem 3).
doi:10.2307/1996415 fatcat:mapovzgzzngjpiwkunfifu5kw4