Geometry IV: Non-regular Riemannian Geometry: 70 (Encyclopaedia of Mathematical Sciences, 70) - Softcover
Book 10 of 47: Encyclopaedia of Mathematical Sciences
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This book contains two surveys on modern research into non-regular Riemannian geometry. Its authors, Reshetnyak, Berestovskij, and Nikolaev are well-known researchers in this area. They treat two-dimensional Riemannian manifolds of bounded curvature and metric spaces whose curvature lies between two given constants. Both these topics have not been treated in monograph form. Hence the book will be immensely useful to graduate students and researchers in geometry, in particular Riemannian geometry.
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Geometry IV: Non-regular Riemannian Geometry (Encyclopaedia of Mathematical Sciences)
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Geometry IV
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book contains two surveys on modern research into non-regular Riemannian geometry. Its authors, Reshetnyak, Berestovskij, and Nikolaev are well-known researchers in this area. They treat two-dimensional Riemannian manifolds of bounded curvature and met. Seller Inventory # 5047172
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Geometry IV
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book contains two surveys on modern research into non-regular Riemannian geometry, carried out mostly by Russian mathematicians. Coverage examines two-dimensional Riemannian manifolds of bounded curvature and metric spaces whose curvature lies between two given constants. This book will be immensely useful to graduate students and researchers in geometry, in particular Riemannian geometry. 264 pp. Englisch. Seller Inventory # 9783642081255
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Geometry IV
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book contains two surveys on modern research into non-regular Riemannian geometry. Its authors, Reshetnyak, Berestovskij, and Nikolaev are well-known researchers in this area. They treat two-dimensional Riemannian manifolds of bounded curvature and metric spaces whose curvature lies between two given constants. Both these topics have not been treated in monograph form. Hence the book will be immensely useful to graduate students and researchers in geometry, in particular Riemannian geometry.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 264 pp. Englisch. Seller Inventory # 9783642081255
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Geometry IV : Non-regular Riemannian Geometry
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The book contains a survey of research on non-regular Riemannian geome try, carried out mainly by Soviet authors. The beginning of this direction oc curred in the works of A. D. Aleksandrov on the intrinsic geometry of convex surfaces. For an arbitrary surface F, as is known, all those concepts that can be defined and facts that can be established by measuring the lengths of curves on the surface relate to intrinsic geometry. In the case considered in differential is defined by specifying its first geometry the intrinsic geometry of a surface fundamental form. If the surface F is non-regular, then instead of this form it is convenient to use the metric PF' defined as follows. For arbitrary points X, Y E F, PF(X, Y) is the greatest lower bound of the lengths of curves on the surface F joining the points X and Y. Specification of the metric PF uniquely determines the lengths of curves on the surface, and hence its intrinsic geometry. According to what we have said, the main object of research then appears as a metric space such that any two points of it can be joined by a curve of finite length, and the distance between them is equal to the greatest lower bound of the lengths of such curves. Spaces satisfying this condition are called spaces with intrinsic metric. Next we introduce metric spaces with intrinsic metric satisfying in one form or another the condition that the curvature is bounded. Seller Inventory # 9783642081255