Geometrical foundations of tensor calculus and rel

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Geometrical	foundations	of	tensor	calculus	and
relativity
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Frederic	Schuller
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Vincent	Lorent
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Geometrical foundations of tensor calculus and relativity
Fre´de´ric Schuller, Vincent Lorent
To cite this version:
Fre´de´ric Schuller, Vincent Lorent. Geometrical foundations of tensor calculus and relativity.
DEA. universite´ Paris 13, 2006. <cel-00093001>
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Institut Galile´e Universite´ Paris 13
Geometrical foundations of tensor
calculus and relativity
lecture notes
Fre´de´ric Schuller & Vincent Lorent
2006
Der wichtigste Vergleichpunkt der Gaussschen Flächentheorie und der allgemeinen 
Relativitätstheorie liegt in der Metrik, auf welche die Begriffe beider Theorien in der 
Hauptsache sich stützen. 
Albert Einstein 1922 
 
 
(The most important point of comparison of Gaussian surface theory and general relativity 
theory lies in the metric on which the notions of both theories essentially rely.) 
 
 
 
 
 
 
 
 
Most of this work is based on notes taken by F. S. during a lecture given by the late professor 
G. Bertram at the Polytechnical Institute in Hannover several decades ago. Lecture notes on 
general relativity issued by V. L. have also been used for completing the last chapter. 
 
The authors are indebted to B. Oksengorn for a carefull reading of the manuscript and 
corrections of numerous errors and misprints. 
 
 
December 2006 
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