Die allgemeine Relativit???stheorie l???sst sich nur mit Hilfe des Tensorkalk???ls formulieren. Diesen lernte Einstein 1912 in Form des absoluten Differentialkalk???ls kennen. Dessen Sch???pfer war Gregorio Ricci, dem zusammen mit Sophus Lie und anderen der Ausbau der Theorie der Differentialinvarianten gelang. Der absolute Differentialkalk???l passte zur allgemeinen Relativit???tstheorie wie ein Schl???ssel zum Schloss: der in den Jahren 1884-92 von Ricci entwickelte Kalk???l erf???llte in der Tat genau das physikalische ...
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Die allgemeine Relativit???stheorie l???sst sich nur mit Hilfe des Tensorkalk???ls formulieren. Diesen lernte Einstein 1912 in Form des absoluten Differentialkalk???ls kennen. Dessen Sch???pfer war Gregorio Ricci, dem zusammen mit Sophus Lie und anderen der Ausbau der Theorie der Differentialinvarianten gelang. Der absolute Differentialkalk???l passte zur allgemeinen Relativit???tstheorie wie ein Schl???ssel zum Schloss: der in den Jahren 1884-92 von Ricci entwickelte Kalk???l erf???llte in der Tat genau das physikalische Konzept der allgemeinen Relativit???tstheorie, das Einstein 1907-15 ausarbeitete. Ein derartiges Zusammenpassen war nur dadurch m???glich, weil sowohl Ricci innerhalb der Mathematik als auch Einstein innerhalb der Physik vergleichbare Fragen stellten, n???mlich Fragen nach Invarianten bei speziellen Transformationen. Es wird versucht, den historischen Weg so genau wie m???glich anhand der Quellen nachzuzeichnen. Neu ist die Herausarbeitung des invariantentheoretischen Aspekts, dem gegen???ber die Bedeutung der Differentialgeometrie f???r die Entwicklung des Tensorkalk???ls in den Hintergrund treten muss.
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