Torsion and the second fundamental form for distributions

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 not symmetric and its skew part is the torsion. The form itself is closely related to the shape map of the connection....

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Bibliographic Details
Main Author: Prince Geoff
Format: Article
Language:English
Published: Sciendo 2016-08-01
Series:Communications in Mathematics
Subjects:
Online Access:https://doi.org/10.1515/cm-2016-0003