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Record Nr. |
UNINA9910454406803321 |
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Autore |
Shen Zhongmin <1963-> |
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Titolo |
Lectures on Finsler geometry [[electronic resource] /] / Zhongmin Shen |
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Pubbl/distr/stampa |
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Singapore ; ; River Edge, NJ, : World Scientific, 2001 |
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ISBN |
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9786611960650 |
1-281-96065-9 |
981-281-162-1 |
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Descrizione fisica |
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1 online resource (324p.) |
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Collana |
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Series on Multivariate Analysis |
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Disciplina |
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Soggetti |
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Finsler spaces |
Geometry, Differential |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references (p. 299-304) and index. |
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Nota di contenuto |
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Finsler Spaces; Finsler m Spaces; Co-Area Formula; Isoperimetric Inequalities; Geodesics and Connection; Riemann Curvature; Non-Riemannian Curvatures; Structure Equations; Finsler Spaces of Constant Curvature; Second Variation Formula; Geodesics and Exponential Map; Conjugate Radius and Injectivity Radius; Basic Comparison Theorems; Geometry of Hypersurfaces; Geometry of Metric Spheres; Volume Comparison Theorems; Morse Theory of Loop Spaces; Vanishing Theorems for Homotopy Groups; Spaces of Finsler Spaces. |
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Sommario/riassunto |
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Viewing Finsler spaces as regular metric spaces, this work discusses the problems from the modern metric geometry point of view. It addresses the basics on Finsler spaces, then deals with basic comparison theorems on metrics and measures and their applications to the Levy concentration theory. |
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