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math.DG2015★ 1 cited
Torsion and the second fundamental form for distributions
G. E. Prince
The second fundamental form of Riemannian geometry is generalised to the case of a manifold with a linear connection and an integrable distribution. This bilinear form is generally…
math.DG2015
An intrinsic and exterior form of the Bianchi identities
Thoan Do, Geoff Prince
We give an elegant formulation of the structure equations (of Cartan) and the Bianchi identities in terms of exterior calculus without reference to a particular basis and without t…