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Curvature Measures of Singular Sets, Jan Rataj; Martina Z?hle


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Цена: 18167.00р.
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Автор: Jan Rataj; Martina Z?hle
Название:  Curvature Measures of Singular Sets
ISBN: 9783030181826
Издательство: Springer
Классификация:





ISBN-10: 3030181820
Обложка/Формат: Hardcover
Страницы: 256
Вес: 0.57 кг.
Дата издания: 2019
Серия: Springer Monographs in Mathematics
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 7 tables, color; 7 illustrations, color; 6 illustrations, black and white; xi, 256 p. 13 illus., 7 illus. in color.
Размер: 234 x 156 x 16
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:
The book describes how curvature measures can be introduced for certain classes of sets with singularities in Euclidean spaces. Its focus lies on sets with positive reach and some extensions, which include the classical polyconvex sets and piecewise smooth submanifolds as special cases. The measures under consideration form a complete system of certain Euclidean invariants. Techniques of geometric measure theory, in particular, rectifiable currents are applied, and some important integral-geometric formulas are derived. Moreover, an approach to curvatures for a class of fractals is presented, which uses approximation by the rescaled curvature measures of small neighborhoods. The book collects results published during the last few decades in a nearly comprehensive way.

Дополнительное описание: #ИМЯ?



The Motion of a Surface by Its Mean Curvature. (MN-20):

Автор: Brakke Kenneth a.
Название: The Motion of a Surface by Its Mean Curvature. (MN-20):
ISBN: 0691611513 ISBN-13(EAN): 9780691611518
Издательство: Wiley
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Цена: 7128.00 р.
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Описание: Kenneth Brakke studies in general dimensions a dynamic system of surfaces of no inertial mass driven by the force of surface tension and opposed by a frictional force proportional to velocity. He formulates his study in terms of varifold surfaces and uses the methods of geometric measure theory to develop a mathematical description of the motion of

Geometry of Manifolds with Non-negative Sectional Curvature

Автор: Owen Dearricott; Fernando Galaz-Garc?a; Lee Kennar
Название: Geometry of Manifolds with Non-negative Sectional Curvature
ISBN: 3319063723 ISBN-13(EAN): 9783319063720
Издательство: Springer
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Цена: 4890.00 р.
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Описание:

Riemannian manifolds with positive sectional curvature.- An introduction to isometric group actions.- A note on maximal symmetry rank, quasipositive curvature and low dimensional manifolds.- Lectures on n-Sasakian manifolds.- On the Hopf conjecture with symmetry.- An Introduction to Exterior Differential Systems.

Brakke`s Mean Curvature Flow

Автор: Yoshihiro Tonegawa
Название: Brakke`s Mean Curvature Flow
ISBN: 9811370745 ISBN-13(EAN): 9789811370748
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This book explains the notion of Brakke`s mean curvature flow and its existence and regularity theories without assuming familiarity with geometric measure theory.

Total Mean Curvature And Submanifolds Of Finite Type (2Nd Edition)

Автор: Chen Bang-Yen
Название: Total Mean Curvature And Submanifolds Of Finite Type (2Nd Edition)
ISBN: 9814616680 ISBN-13(EAN): 9789814616683
Издательство: World Scientific Publishing
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Цена: 14414.00 р.
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Описание: During the last four decades, there were numerous important developments on total mean curvature and the theory of finite type submanifolds.

Mean Curvature Flow: Proceedings of the John H. Barrett Memorial Lectures held at the University of Tennessee, Knoxville, May 29 - June 1, 2018

Автор: Theodora Bourni, Mat Langford
Название: Mean Curvature Flow: Proceedings of the John H. Barrett Memorial Lectures held at the University of Tennessee, Knoxville, May 29 - June 1, 2018
ISBN: 3110618184 ISBN-13(EAN): 9783110618181
Издательство: Walter de Gruyter
Цена: 19330.00 р.
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Описание:

With contributions by leading experts in geometric analysis, this volume is documenting the material presented in the John H. Barrett Memorial Lectures held at the University of Tennessee, Knoxville, on May 29 - June 1, 2018. The central topic of the 2018 lectures was mean curvature flow, and the material in this volume covers all recent developments in this vibrant area that combines partial differential equations with differential geometry.

Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets

Автор: Jos? M. Maz?n; Julio Daniel Rossi; J. Juli?n Toled
Название: Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets
ISBN: 3030062422 ISBN-13(EAN): 9783030062422
Издательство: Springer
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Цена: 7685.00 р.
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Описание: This book highlights the latest developments in the geometry of measurable sets, presenting them in simple, straightforward terms. It addresses nonlocal notions of perimeter and curvature and studies in detail the minimal surfaces associated with them. These notions of nonlocal perimeter and curvature are defined on the basis of a non-singular kernel. Further, when the kernel is appropriately rescaled, they converge toward the classical perimeter and curvature as the rescaling parameter tends to zero. In this way, the usual notions can be recovered by using the nonlocal ones. In addition, nonlocal heat content is studied and an asymptotic expansion is obtained. Given its scope, the book is intended for undergraduate and graduate students, as well as senior researchers interested in analysis and/or geometry.

Geometry, Topology, and Dynamics in Negative Curvature

Автор: Aravinda
Название: Geometry, Topology, and Dynamics in Negative Curvature
ISBN: 110752900X ISBN-13(EAN): 9781107529007
Издательство: Cambridge Academ
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Цена: 11405.00 р.
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Описание: Negative curvature arises in several mathematical areas, including geometry, topology, dynamics, and number theory. This volume contains survey articles around this common theme, which should help mathematicians interested in transitioning between these areas, as well as graduate students entering this interdisciplinary subject.

Metric Spaces of Non-Positive Curvature

Автор: Martin R. Bridson; Andr? H?fliger
Название: Metric Spaces of Non-Positive Curvature
ISBN: 3642083994 ISBN-13(EAN): 9783642083990
Издательство: Springer
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Цена: 16769.00 р.
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Описание: The purpose of this book is to describe the global properties of complete simply- connected spaces that are non-positively curved in the sense of A. D. Alexandrov and to examine the structure of groups that act properly on such spaces by isometries. Thus the central objects of study are metric spaces in which every pair of points can be joined by an arc isometric to a compact interval of the real line and in which every triangle satisfies the CAT(O) inequality. This inequality encapsulates the concept of non-positive curvature in Riemannian geometry and allows one to reflect the same concept faithfully in a much wider setting - that of geodesic metric spaces. Because the CAT(O) condition captures the essence of non-positive curvature so well, spaces that satisfy this condition display many of the elegant features inherent in the geometry of non-positively curved manifolds. There is therefore a great deal to be said about the global structure of CAT(O) spaces, and also about the structure of groups that act on them by isometries - such is the theme of this book. 1 The origins of our study lie in the fundamental work of A. D. Alexandrov .

Total Mean Curvature and Submanifolds of Finite Type: 2nd Edition

Автор: Chen Bang-Yen
Название: Total Mean Curvature and Submanifolds of Finite Type: 2nd Edition
ISBN: 9814616699 ISBN-13(EAN): 9789814616690
Издательство: World Scientific Publishing
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Цена: 7128.00 р.
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Описание: During the last four decades, there were numerous important developments on total mean curvature and the theory of finite type submanifolds.

Superior-Order Curvature-Correction Techniques for Voltage References

Автор: Cosmin Radu Popa
Название: Superior-Order Curvature-Correction Techniques for Voltage References
ISBN: 1441904158 ISBN-13(EAN): 9781441904157
Издательство: Springer
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Цена: 19564.00 р.
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Описание: Suitable for students and specialists in the area of analog and mixed-signal CMOS VLSI design, this book focuses on analysis and design of voltage reference circuits. It intends to evaluate the possibilities of improving the thermal behavior of voltage references by implementing superior-order curvature-correction techniques.

Lecture Notes on Mean Curvature Flow

Автор: Carlo Mantegazza
Название: Lecture Notes on Mean Curvature Flow
ISBN: 3034803400 ISBN-13(EAN): 9783034803403
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This introduction to the subject of mean curvature flow of hypersurfaces has a special emphasis on the analysis of singularities and provides a detailed discussion of the classical parametric approach mainly developed by R. Hamilton and G. Huisken.


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