Curvature and the Notion of Space

• leçon - matière potentielle : the clock at sea
• cours magistral
• leçon - matière potentielle : selection
• cours - matière potentielle : differential geometry
• leçon - matière potentielle : selec - tion

3Curvature and the Notion of Space 3.1 Introduction On June 10, 1854, at the University of Gottingen, in a lecture that nearly did not occur, Georg Friedrich Bernhard Riemann (1826–1866) proposed a vision- ary concept for the study of space [223, pp. 132–133]. To obtain the position of an unsalaried lecturer (Privatdozent) in the German university system, Riemann was required to submit an inaugural paper (Habilitationsschrift) as well as to present an inaugural lecture (Habilitationsvortrag).

• detailed study of the axiomatic geometry
• pendulum clock
• dimensional manifolds
• manifold
• curvature
• geometry
• space
• circle
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