Selected Papers of Wilhelm P A Klingenbe

Selected Papers of Wilhelm P A Klingenbe

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Utgivelsesår 1991
Forlag World Scientific Publishing Co
Språk Engelsk
ISBN 9789812812797
Sider 548
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Om Selected Papers of Wilhelm P A Klingenbe

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”.Contents:Classical Differential Geometry:Closed Curves on S2 with Bounded Winding NumberFoundations of Geometry:Beziehungen Zwischen Einigen Affinen SchlieβungssätzenProjektive Geometrien mit HomomorphismusGeometric Algebra:Über die Arfsche Invariante Quadratischer Formen Mod 2Projektive Geometrie und Lineare Algebra über Verallgemeinerten BewertungsringenSymplectic Groups Over Local RingsRiemannian Geomerty:Contributions to Riemannian Geometry in the LargeOn Compact Kaehlerian Manifolds with Positive Holomorphic CurvatureClosed Geodesics:The Space of Closed Curves on a Projective SpaceDer Indexsatz für Geschlossene GeodätischeÜber die Existenz Unendlich Vieler Geschlossener GeodätischerHomology Generated by Iterated Closed Geodesicsand other papersReadership: Mathematicians.Key Features:Broad perspective, including the basic science aspect relating to putative underlying mechanisms of diseaseClinical perspective from a practitioner engaged in the management and counseling of affected patients and familiesSingle resource for various topics in the field, with each chapter introduced by a relevant vignette and supplemented by several tables and illustrations


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