Abstract
What is the best Riemannian structure on a given compact manifold? René Thom asked the author this question in the Strasbourg mathematics department library around 1960. I should say not only that I liked it, but also that I found it very motivating and frequently advertised it. Moreover, the question is the first problem in the problem list Yau [1296]. It is only recently that I discovered that the question of best metric was posed much earlier by Hopf in Hopf 1932 [730], page 220.
Cite
CITATION STYLE
Berger, M. (2003). What is the Best Riemannian Metric on a Compact Manifold? In A Panoramic View of Riemannian Geometry (pp. 499–541). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-18245-7_11
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