Transition: The Next Two Chapters

Marcel Berger ()
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Marcel Berger: Institut des Hautes Études Scientifiques IHES

Chapter 8 in A Panoramic View of Riemannian Geometry, 2003, pp 369-372 from Springer

Abstract: Abstract Toward the end of chapter 1, we met the heat and wave equations on compact regions of the plane. We also met billiard balls travelling in those regions, bouncing off of the sides. In §§1.8.6 we asked whether there might be links between these two completely different mathematical stories: elementary physics of fields in planar regions and long term geometry of billiard ball trajectories.

Keywords: Riemannian Manifold; Riemannian Geometry; Negative Curvature; Closed Curf; Maximal Compact Subgroup (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18245-7_8

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DOI: 10.1007/978-3-642-18245-7_8

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