Ebook: Contributions to Geometry: Proceedings of the Geometry-Symposium held in Siegen June 28, 1978 to July 1, 1978

During the time from June 28-July 1, 1978, representatives of different branches of geometry met in Siegen for discussion of and reports on current problems. In particular, the survey lectures, presented by well known geometers, gave nonspecialists the welcome opportunity to learn about the questions posed, the methods used and the results obtained in different areas of the field of geometry. The research areas represented at the meeting in Siegen are reflected in the list of participants and their contributions: Ranging from geometric convexity and related topics to differential geometry and kinematics. The foundations of geometry, an area well established in Germany, was also represented. It is a pleasure to thank all the lecturers as well as other participants in the Geometry Symposium for their contribution to the success of the meeting. We also thank the "Minister fUr Wissenschaft und Forschung des Landes Nordrhein-Westfalen" and the University of Siegen for their generous support which helped make the Symposium so successful. In order to make the contributions and results of the Symposium accessible to the general public, the publication of a proceedings volume was planned. The idea was to give a summary of a wide spectrum of research in geometr- through survey articles and original research papers.

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Geometric convexity.- Boundary structure and curvature of convex bodies.- Kinematic integral formulas for convex bodies.- Geometric theories of measure and area.- Transforms, Diagrams and Representations.- Neuere Entwicklungen in der kombinatorischen Konvexgeometrie.- Radon’s theorem revisited.- Geometry of numbers.- Stetige und diskrete Funktionale konvexer Körper.- Neuere Entwicklungen über reguläre Polyeder.- Konvexe Polytope mit regulären Facetten im ?n (n?4).- Problems in Geometric Convexity.- Differential geometry and kinematics.- Mean-value theorems in riemannian geometry.- Diskrete Gruppen und kleine Krümmung nach Gromov.- Nichtlineare Differentialgeometrie, insbesondere Minkowski-Geometrie.- Theorie der flächentreuen Abbildungen der Ebene.- Zum Satz von Holditch.- On kinematics of the n-dimensional Euclidean space.- Bemerkungen über parabolische Kegelschnittflächen.- Affine Trochoidenbewegungen.- Globale Geometrie der Regelflächen.- Über einige geometrische Aspekte der Approximationstheorie.- Foundations of Geometry.- Richtungsalgebren.- Unterräume von Blockplänen.- Die Methode der Hilfsmatrizen.- Verallgemeinerte Minkowski-Geometrie.