History in 1841 delaunay proved that the only surfaces of revolution with constant mean curvature were the surfaces obtained by rotating the roulettes of the conics these are the plane cylinder sphere the catenoid the unduloid and nodoid in 1853 j h jellet showed that if is a compact star shaped surface in with constant mean curvature then it is the standard sphere. Constant mean curvature surfaces harmonic maps and integrable systems lectures in mathematics eth zurich amazones frederic hlein libros en idiomas extranjeros. Ory for constructing constant mean curvature surfaces and harmonic maps of surfaces with values into symmetric manifolds using integrable systems methods all that seems apparentely a new theory but many features of the com pletely integrable behaviour of constant mean surfaces have been guessed by geometers of the nineteenth century. Stanford libraries official online search tool for books media journals databases government documents and more. Get this from a library constant mean curvature surfaces harmonic maps and integrable systems frederic helein this book intends to give an introduction to harmonic maps between a surface and a symmetric manifold and constant mean curvature surfaces as completely integrable systems the presentation is
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