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Duration and Change pp 71–105Cite as

Some Trends in Riemannian Geometry

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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.

Je suis redevable à nombre d’institutions pour l’aide qu’elles m’ont apportée au cours des ans. Je voudrais particulièrement remercier Ie Centre National de la Recherche Scientifique, le Centre de Mathématiques de I’Ecole Polytechnique, l’Institut Elie Cartan, l’Institut Fourier, l’Université Paris-Sud, Centre d’Orsay, et, last but not least, la Direction Générale XII de la Communauté Européenne pour le soutien apporté au programme G.A.D.G.E.T.

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Authors
  1. Arthur L. Besse
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Editors and Affiliations

  1. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, 02139, MA, USA

    Michael Artin

  2. Mathematical Institute, University of Münster, Einsteinstraße 62, Münster, D-48149, Germany

    Reinhold Remmert

  3. Mathematical Institute, University of Basel, Rheinsprung 21, Basel, CH-4051, Switzerland

    Hanspeter Kraft

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Besse, A.L. (1994). Some Trends in Riemannian Geometry. In: Artin, M., Remmert, R., Kraft, H. (eds) Duration and Change. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78502-3_22

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