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. (Franz Steiner 1997) ... Read more

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Aus den Besprechungen: "... dieses gehaltvolle Buch ... ist je zur Hälfte der linearen Algebra und der klassischen Geometrie gewidmet. Neben dem Standardmaterial der linearen Algebra werden auch eingehend die Jordansche Normalform und deren Anwendung auf die Lösung von Systemen linearer Differentialgleichungen mit konstanten Koeffizienten und, ausführlicher als üblich, einiges aus der Hilberttheorie behandelt.... Wegen seiner reichen und interessanten Stoffauswahl und der Ökonomie der Darstellung ist das Buch sowohl als Grundlage von Vorlesungen wie zum Selbststudium bestens geeignet." #Internationale Mathematische Nachrichten#1 In der nun 3. Auflage finden sich auf oft geäußerten Wunsch erneut zahlreiche Übungsaufgaben. ... Read more

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Aus dem Vorwort: "Globale Probleme der Differentialgeometrie erfreuen sich eines immer noch wachsenden Interesses. Gerade in der Riemannschen Geometrie hat die Frage nach Beziehungen zwischen Riemannscher und topologischer Struktur in neuerer Zeit zu vielen schönen und überraschenden Einsichten geführt. Dabei denken wir hier vor allem an den Problemkreis: Welche topologischen Invarianten werden charakterisiert durch eine der wichtigsten isometrischen Invarianten, die Krümmung? Ziel der folgenden Noten ist, einige zentrale Resultate in dieser Richtung darzustellen.... Wir haben uns bemüht, die Darstellung möglichst elementar und in sich abgeschlossen zu halten und einen einfachen leistungsfähigen Kalkül zu entwickeln." ... Read more

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This book contains expository lectures from the CBMS Regional Conference held at the University of Florida, 1982. The author considers a space formed by all closed curves in which the closed geodesics are characterized as the critical points of a functional, an idea going back to Morse. This exposition gives a refined version of Morse's approach which has several advantages over the old one--in particular, it possesses a canonical $\mathbf O(2)$-action. ... Read more

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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. His contributions to Riemannian geometry were significant in the large, as well as opening a new era 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. Poincare. ... Read more

Customer Reviews (1)

A good collection of results on geodesic curves
A great collection of results about geodesics and path spaces on manifolds not found in other Riemannian geometry books.While the book is not an easy reference to read, it's a valuable source of results for anyone interested in the geometry of path spaces. ... Read more

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"This is the International Edition. The content is in English, same as US version but different cover. Please DO NOT buy if you can not accept this difference.Ship from Shanghai China, please allow about 3 weeks on the way to US or Europe.Message me if you have any questions." ... Read more

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Kapitel: Grafen Von Neipperg, Adam Albert Von Neipperg, Wilhelm Reinhard Von Neipperg, Neippergsches Schloss Klingenberg, Alfred Von Neipperg, Engelhard Von Neipperg, Erwin Von Neipperg, Adalbert Von Neipperg, Maria Wilhelmina Von Auersperg. Aus Wikipedia. Nicht dargestellt. Auszug: Wilhelm Reinhard von Neipperg (27 May 1684 - 26 May 1774) was an Austrian general. Born in Schwaigern, he descended from an ancient family from Swabia, his father Eberhard Friedrich von Neipperg (1655-1725) having been an Imperial Field Marshal. He spent his boyhood in Vienna and in 1702 joined the Imperial Service. He was a Obristlieutnant in his father's regiment in 1709, and by 1715 was a colonel. He distinguished himself at Temesvar in 1716 and at Belgrade in 1717. After fighting against the Turks, he renounced his military career in order to attend to the education of Duke Francis I, the future Holy Roman Emperor. Von Neipperg was with Fieldmarshal Wallis, at the Battle of Grocka and negotiated the Peace of Belgrade (1739). Two years later, during the War of Austrian Succession, he commanded the Austrian Army which was defeated at the Battle of Mollwitz by Frederick II of Prussia. His daughter, Maria Wilhelmina von Neipperg, became mistress of Francis I, Holy Roman Emperor. He died at Vienna in 1774. ...http://booksllc.net/?l=de ... Read more