Hans Grauert (8 February 1930 in Haren, Emsland, Germany – 4 September 2011) was a German mathematician. He is known for major works on several complex variables, complex manifolds and the application of sheaf theory in this area, which influenced later work in algebraic geometry.Bauer, I. C. et al. (2002) Complex geometry: collection of papers dedicated to Hans Grauert, Springer. Together with Reinhold Remmert he established and developed the theory of complex-analytic spaces.
Professorship Grauert attended school at the Gymnasium in Meppen before studying for a semester at the University of Mainz in 1949, and then at the University of Münster, where he was awarded his doctorate in 1954.
He became professor at the University of Göttingen in 1958, as successor to C. L. Siegel. The lineage of this chair traces back through an eminent line of mathematicians: Weyl, Hilbert, Riemann, and ultimately to Gauss.Grauert, H. (1994) Selected Papers, Springer. Until his death, he was professor emeritus at Göttingen.
Grauert's approximation theorem Grauert's approximation theorem, due to Grauert, is an analog of Whitney’s approximation theorem for real-analytic maps. It states: with respect to the Whitney topology (also known as strong topology), the space of real-analytic maps between real-analytic manifolds is dense in the space of smooth maps between those manifolds. In the compact case, the theorem is due to Morrey. The case when there is an analytic Riemannian metric is due to Bochner.
Awards Grauert was awarded a fellowship of the Leopoldina and the von Staudt Prize.
Publications
with Klaus Fritzsche: with Klaus Fritzsche:
See also Faltings' theorem Levi problem
References
Further reading
External links
photo of Hans Grauert at Oberwolfach