Comparison Theorems in Riemannian Geometry: How Curvature Affects Topology
Klaus Kroencke
ISBN 10: 3639494415 ISBN 13: 9783639494419
Published by AV Akademikerverlag, 2014
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96 pages. 8.66x5.91x0.22 inches. In Stock. Seller Inventory # __3639494415
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The main subject of this work are results of global Riemannian geometry. In all of these theorems we assume some local property of the space (usually formulated using curvature assumption) to derive some information about the global structure of the space, including the topological type of the manifold. In the first part of the work, we study the Bonnet-Myers theorem, the Rauch comparison theorem and the Cartan-Hadamard theorem. The second part is devoted to the sphere theorem, which was proven by Berger and Klingenberg. After extensive preparations, we give a complete proof of the theorem. Finally, we briefly discuss some recent developments that build on the sphere theorem.
About the Author: The author was born in 1986 in Vienna. After finishing school in June 2004, he studied Mathematics, Physics and Geography at the University of Vienna. After receiving his Diploma in Mathematics in September 2010, he moved to Potsdam for his doctorate. He finshed his doctorate studies in December 2013.
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Title: Comparison Theorems in Riemannian Geometry: ...
Publisher: AV Akademikerverlag
Publication Date: 2014
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Kroencke KlausThe author was born in 1986 in Vienna. After finishing school in June 2004, he studied Mathematics, Physics and Geography at the University of Vienna. After receiving his Diploma in Mathematics in September 2010, he move. Seller Inventory # 4992296
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Comparison Theorems in Riemannian Geometry | How Curvature Affects Topology
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Taschenbuch. Condition: Neu. Comparison Theorems in Riemannian Geometry | How Curvature Affects Topology | Klaus Kröncke | Taschenbuch | 96 S. | Englisch | 2014 | AV Akademikerverlag | EAN 9783639494419 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu Print on Demand. Seller Inventory # 105428329
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - The main subject of this work are results of global Riemannian geometry. In all of these theorems we assume some local property of the space (usually formulated using curvature assumption) to derive some information about the global structure of the space, including the topological type of the manifold. In the first part of the work, we study the Bonnet-Myers theorem, the Rauch comparison theorem and the Cartan-Hadamard theorem. The second part is devoted to the sphere theorem, which was proven by Berger and Klingenberg. After extensive preparations, we give a complete proof of the theorem. Finally, we briefly discuss some recent developments that build on the sphere theorem. Seller Inventory # 9783639494419
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Comparison Theorems in Riemannian Geometry
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ISBN 10: 3639494415
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The main subject of this work are results of global Riemannian geometry. In all of these theorems we assume some local property of the space (usually formulated using curvature assumption) to derive some information about the global structure of the space, including the topological type of the manifold. In the first part of the work, we study the Bonnet-Myers theorem, the Rauch comparison theorem and the Cartan-Hadamard theorem. The second part is devoted to the sphere theorem, which was proven by Berger and Klingenberg. After extensive preparations, we give a complete proof of the theorem. Finally, we briefly discuss some recent developments that build on the sphere theorem. 96 pp. Englisch. Seller Inventory # 9783639494419
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Comparison Theorems in Riemannian Geometry
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Taschenbuch. Condition: Neu. Neuware -The main subject of this work are results of global Riemannian geometry. In all of these theorems we assume some local property of the space (usually formulated using curvature assumption) to derive some information about the global structure of the space, including the topological type of the manifold. In the first part of the work, we study the Bonnet-Myers theorem, the Rauch comparison theorem and the Cartan-Hadamard theorem. The second part is devoted to the sphere theorem, which was proven by Berger and Klingenberg. After extensive preparations, we give a complete proof of the theorem. Finally, we briefly discuss some recent developments that build on the sphere theorem.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 96 pp. Englisch. Seller Inventory # 9783639494419
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Comparison Theorems in Riemannian Geometry: How Curvature Affects Topology
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Paperback. Condition: Brand New. 96 pages. 8.66x5.91x0.22 inches. In Stock. Seller Inventory # 3639494415
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