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This set of selected papers of Klingenberg covers some of the important mathematical aspects of Riemannian Geometry, Closed Geodesics, Geometric Algebra, Classical Differential Geometry and Foundations of Geometry of Klingenberg. Of significance were his contributions to Riemannian Geometry in the Large which opened a new area in Global Riemannian Geometry. He also introduced the Hilbert manifold of closed curves of class H1 on a Riemannian manifold. In connection with his work in closed geodesics, he became interested in the properties of the geodesic flow. Classical results from dynamical systems became useful tools for the study of closed geodesics. He was also credited for drawing closer together Riemannian Geometry and Hamiltonian systems, which had developed separately since the time of H Poincaré.Besides publishing research papers, Klingenberg also wrote a dozen books and lecture notes, among which is the important reference work “Riemannsche Geometrie im Groβen”.
Published in 1979, this study is intended as a continuation of the work of the scholars and previous commentators on Goethe's Wanderjahre. While considering the scientific structure, it concentrates first on one basic question of form--that of the series of narrative insertions--and then of necessity on one matter of content that is linked so closely with them that the two are almost inseparable, namely the concept of the family as the Urform (archetype) and metamorphosis of the types of human association. Thus the intention of this book is to contribute to the new and better understanding of the novel and which will, it is to be hoped, at long last help the work take its place as one of the two crowning masterpieces (along with Faust II) of Goethe's life.
Includes music.