Geometry of Total Curvature on Complete Open Surfaces~tqw~ darksiderg

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  Geometry of Total Curvature on Complete Open Surfaces~tqw~ darksiderg
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• Added:
  07/01/2008
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  *******************************************************************************<br /> Geometry of Total Curvature on Complete Open Surfaces <br /> *******************************************************************************<br /> <br /> -------------------------------------------------------------------------------<br /> General Information<br /> -------------------------------------------------------------------------------<br /> Type.................: Ebook<br /> Part Size............: 1,695,737 bytes<br /> <br /> <br /> <br /> <br /> -------------------------------------------------------------------------------<br /> Post Information<br /> -------------------------------------------------------------------------------<br /> Posted by............: ~tqw~<br /> <br /> -------------------------------------------------------------------------------<br /> Release Notes<br /> -------------------------------------------------------------------------------<br /> This independent account of modern ideas in differential geometry shows how they <br /> can be used to understand and extend classical results in integral geometry. The <br /> authors explore the influence of total curvature on the metric structure of <br /> complete, non-compact Riemannian 2-manifolds, although their work can be <br /> extended to more general spaces. Each chapter features open problems, making the <br /> volume a suitable learning aid for graduate students and non-specialists who <br /> seek an introduction to this modern area of differential geometry. <br /> <br /> Table of Contents<br /> <br /> Preface <br /> 1 Riemannian geometry 1<br /> 2 The classical results of Cohn-Vossen and Huber 41<br /> 3 The ideal boundary 75<br /> 4 The cut loci of complete open surfaces 133<br /> 5 Isoperimetric inequalities 165<br /> 6 Mass of rays 187<br /> 7 The poles and cut loci of a surface of revolution 207<br /> 8 The behavior of geodesics 243<br /> References 275<br /> Index 281<br /> <br /> Product Details<br /> <br /> * ISBN: 0521450543<br /> * ISBN-13: 9780521450546<br /> * Format: Hardcover, 294pp<br /> * Publisher: Cambridge University Press<br /> * Pub. Date: November 2003<br /> <br /> -------------------------------------------------------------------------------<br /> Install Notes<br /> -------------------------------------------------------------------------------<br /> PDF Reader<br />
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