Geometric aspects of the co-rotational derivative of a continuous motion

 
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1997 (EN)
Geometric aspects of the co-rotational derivative of a continuous motion (EN)

Kadianakis, N (EN)

N/A (EN)

In this work we use a frame-independent version of the co-rotational derivative of a motion, and study the geometry defined by this derivative on classical space-time. This is done in the general framework of derivatives, called Spins, which define a rigid parallel translation of space-like vectors. We express the Spin itself in terms of this translation, and show that for a non-uniform Spin this translation depends on the path. Since the co-rotational derivative is a Spin, its geometry is studied in this context. After showing that the relative vorticity of two motions is the difference of their co-rotational derivatives, we prove that the translation defined by the co-rotational derivative of a motion is path-independent, if and only if the motion is homogeneous. (EN)

journalArticle

MECHANICS (EN)
TIME (EN)

Εθνικό Μετσόβιο Πολυτεχνείο (EL)
National Technical University of Athens (EN)

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik (EN)

1997


AKADEMIE VERLAG GMBH (EN)



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