Some Trends in Riemannian Geometry

  • Arthur L. Besse

Abstract

The sessions “Differentialgeometrie im Großen”, initiated by Professor Wilhelm Klingenberg and Professor Shiing Shen Chern, have brought to Oberwolfach a very international crowd of geometers for many years. We begin this review by presenting some highlights of talks given there in the last ten years. In the next paragraphs, we selected four lines of development of the field that we tried to put in perspective, namely, Isospectrality, Dynamical Geometry, Deforming metrics, and Moduli spaces of geometric objects. The influence of other areas of Mathematics, and also of Physics, will often be perceivable.

Keywords

Entropy Manifold Stein Stake Lawson 

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© Springer-Verlag Berlin Heidelberg 1994

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  • Arthur L. Besse

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