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 A Metric Splitting of Alexandrov Spaces. Boundary Strata of nonnegatively curved Alexandrov Spaces and a Splitting Theorem
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A Metric Splitting of Alexandrov Spaces. Boundary Strata of nonnegatively curved Alexandrov Spaces and a Splitting Theorem

автор Andreas W. издательство Книга по Требованию Основы программирования и алгоритмы
Cтраниц 96        мягкая обложка       
Аннотация:Then M is isometric to a metric product of Alexandrov spaces S and D, where S has dimension n-k and is isometric to each intersection of k boundary strata. More precisely, let M be compact and of dimension n. Assume that M has k+1 boundary strata such that their common intersection is empty, but any intersection of k strata is nonempty. The author Andreas Woerner begins with an introduction to Alexandrov geometry, which requires only some familiarity with Riemannian geometry. The boundary of an Alexandrov space M may decompose into several boundary strata. It is remarkable that the theorem provides in general non-flat factors. This book deals with the case that M has nonnegative curvature. If M has positive curvature, it is quite well understood how the number of boundary strata determines the homeomorphism type of M as a stratified space. Alexandrov spaces are metric generalizations of Riemannian manifolds with sectional curvature bounds. Then boundary strata are investigated more closely. After all prerequisites are given, a splitting theorem is proved as the main result in this book.
Автор: Andreas W.
Издательство: Книга по Требованию
Год:2010
Цена:
2361 руб
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Поиск: A Metric Splitting of Alexandrov Spaces. Boundary Strata of nonnegatively curved Alexandrov Spaces and a Splitting Theorem
НОВЫЙ ГОД СИМВОЛ 2013 ГОДАУКРАШЕНИЯ
КАРНАВАЛ НА НОВЫЙ ГОД РАСПРОДАЖА
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