Mircea Craioveanu and Vladimir Slesar: A Weitzenböck formula for a closed Riemannian manifold with two orthogonal complementary distributions, p.271-279

Abstract:

In the setting of a closed Riemannian manifold endowed with a smooth, not necessarily integrable distribution, we prove that a Weitzenböck type formula, given in [14] for the particular case of a Riemannian foliation, can be extended in our more general case.

Key Words: smooth distribution; Riemannian foliation; Weitzenböck formula.

2000 Mathematics Subject Classification: Primary: 58A30,
Secondary: 53C12, 14F17.

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