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Zbl 0877.57013
Carter, B.
Extended tensorial curvature analysis for embeddings and foliations. (English)
[A] Nencka, Hanna (ed.) et al., Geometry and nature: in memory of W. K. Clifford. A conference on new trends in geometrical and topological methods, July 30--August 5, 1995, Madeira, Portugal. Providence, RI: American Mathematical Society. Contemp. Math. 203, 207-219 (1997). ISBN 0-8218-0607-6/pbk

The author summarizes the techniques and methods in the evolution of differential geometry and new physical problems: the first deformation tensor and the second fundamental tensor, the rotation tensor, adapted foliation connection etc. The main results of the work show how the classical tensor formalism attached to an embedded $p$-surface provides a concise and flexible machinery for the generalized curvature analysis of embedded $p$-surfaces and foliations necessary in cosmology and physics.
[C.Apreutesei (Iaşi)]

MSC 2000:: *57R30 Foliations; geometric theory
53B21 Methods of Riemannian geometry
70G45 Differential-geometric methods

Keywords: deformation tensor; second fundamental tensor; foliation; connection

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