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In der Arbeit [17] hat der Verfasser versucht, die Konzeption, Inhalt und Form der Differentialgeometrie der -dimensionalen Kugel- und Linienmannigfaltigkeiten im -dimensionalen euklidischen Raum zu erzeugen. Zu dieser durch das Theorem aus [17] charakterisierten Differentialgeometrie versucht nun der Autor einige Vertiefungs- und Entwicklungsideen insgesamt einiger ihren wichtigsten Realisationen aufs kürzeste darzustellen.
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