Synopsis
In Riemannian geometry, measurements are made with both yardsticks and protractors. These tools are represented by a family of inner-products. In Riemann-Finsler geometry (or Finsler geometry for short), one is in principle equipped with only a family of Minkowski norms. So ardsticks are assigned but protractors are not. With such a limited tool kit, it is natural to wonder just how much geometry one can uncover and describe?
It now appears that there is a reasonable answer. Finsler geometry encompasses a solid repertoire of rigidity and comparison theorems, most of them founded upon a fruitful analogue of the sectional curvature. There is also a bewildering array of explicit examples, illustrating many phenomena which admit only Finslerian interpretations. This book focuses on the elementary but essential items among these results. Much thought has gone into making the account a teachable one.
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About the Author
Zhongmin Shen is Associate Professor of Mathematics at Indiana University-Purdue University at Indianapolis (IUPUI).
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An Introduction to Riemann-Finsler Geometry (Graduate Texts in Mathematics, 200)
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An Introduction to Riemann-Finsler Geometry. With 20 Illustrations.
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XX, 431 Seiten, Format 16,2 x 24,5 cm, hartgebundener u. mattkaschierter Original-Pappband (Graduate Texts in Mathematics, Band 200). * Bibliography + Index auf den Seiten 419-431. Erhaltung: Auf dem rückseitigen Deckel ein Preis-Etikett (DM 98,00). Sonst keine weiteren Mängel und insgesamt sehr gut erhalten [Eine größere Sammlung Physik, Mathematik, Astronomie und verwandte Gebiete wird derzeit in den Bestand eingearbeitet. Sie finden diese Titel bei uns in den gleichnamigen Rubriken]. Sprache: Englisch. Seller Inventory # 29583
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Introduction to Riemann-Finsler Geometry
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An Introduction to Riemann-Finsler Geometry (Graduate Texts in Mathematics, 200)
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An Introduction to Riemann-Finsler Geometry
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Introduction to Riemann-Finsler Geometry
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An Introduction to Riemann-Finsler Geometry (Graduate Texts in Mathematics, 200)
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Introduction to Riemann-Finsler Geometry
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An Introduction to Riemann-Finsler Geometry
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Springer, Humana Mär 2000, 2000
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In Riemannian geometry, measurements are made with both yardsticks and protractors. These tools are represented by a family of inner-products. In Riemann-Finsler geometry (or Finsler geometry for short), one is in principle equipped with only a family of Minkowski norms. So ardsticks are assigned but protractors are not. With such a limited tool kit, it is natural to wonder just how much geometry one can uncover and describe It now appears that there is a reasonable answer. Finsler geometry encompasses a solid repertoire of rigidity and comparison theorems, most of them founded upon a fruitful analogue of the sectional curvature. There is also a bewildering array of explicit examples, illustrating many phenomena which admit only Finslerian interpretations. This book focuses on the elementary but essential items among these results. Much thought has gone into making the account a teachable one. 460 pp. Englisch. Seller Inventory # 9780387989488
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An Introduction to Riemann-Finsler Geometry
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Hardback. Condition: New. 2000 ed. PRELIMINARY TEXT. DO NOT USE. Finsler geometry is a metric generalization of Riemannian geometry and has become a comparatively young branch of differential geometry. Although Finsler geometry has its genesis in Riemann's 1854 "Habilitationsvortrag," its systematic study was not initiated until 1918 by Finsler, and the fundamentals were not completely formulated until the mid-thirties. Later, however, the field underwent a rapid development by mathematicians and physicists of many countries. The main purpose of this book is to study the metric geometry of Finsler manifolds. Portions of the book generalize some standard concepts from Riemannian geometry to the Finsler setting, while other. Seller Inventory # LU-9780387989488
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