 Life  Work  Mathematics  Bibliography  Back to the front page Work Milena Hering Riemann did a lot of work in the theory of complex functions in his PhD thesis. So he derived the CauchyRiemann equations ([Werke, p.6]) and the Riemann mapping theorem and developed the idea of a Riemann surface and multiple planes. The Riemann Hypothesis, which he statet in ``Über die Anzahl der Primzahlen unter einer gegebenen Grösse", Monatsberichte der Berliner Akademie, November 1859, about the zero roots of the is not solved yet. In his Habilitationsvortrag: ``Uber die Hypothesen, welche der Geometrie zugrundeliegen" (first published in 1867 in Göttingen), he developed the notion of an ndimensional manifold and tried to set a metric upon it. In this context he constructed the Riemannian normal coordinates. He also constructed the Riemann integral and found a necessary and a sufficient condition for a function to be integrable. [Katz]
