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Abstract
The study provides a natural generalization and unification of the classical treatments of compatibility conditions for moving surfaces and curves as submanifolds of E 3. The motivation for such a generalization is twofold. First, it is desirable to exhibit the compatibility conditions in a single unified set of formulas expressed in terms of standard quantities from differential geometry and explicitly displaying the features that are common to all submanifolds regardless of their dimensions. Secondly, it may be of some benefit to the science of continuum mechanics to have a general theory which treats the phenomena connected with continua of diverse dimensions on an equal footing.
Acknowledgements
The author wants to express his gratitude to both reviewers for their constructive and frank comments that improved and strengthen the manuscript. This paper is a part of scientific project No. 1793 which is supported by MNTR of Republic Serbia.