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

Автор: Aravinda
Название: Geometry, Topology, and Dynamics in Negative Curvature
ISBN: 110752900X ISBN-13(EAN): 9781107529007
Издательство: Cambridge Academ
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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.

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: 32600.00 T
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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.

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: 111790.00 T
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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 .

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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Описание: During the last four decades, there were numerous important developments on total mean curvature and the theory of finite type submanifolds.

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: 130430.00 T
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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.

Автор: Luigi Ambrosio, Andrea Mondino, Giuseppe Savare
Название: Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces
ISBN: 1470439131 ISBN-13(EAN): 9781470439132
Издательство: Mare Nostrum (Eurospan)
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Цена: 76690.00 T
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Описание: Provides new characterizations of the curvature dimension condition in the context of metric measure spaces $(X,\mathsf d,\mathfrak m)$. The authors` approach takes into account suitable weighted action functionals, and uses the nonlinear diffusion semigroup induced by the $N$-dimensional entropy, in place of the heat flow

Автор: Man Chun Leung
Название: Supported Blow-Up and Prescribed Scalar Curvature on $S^n$
ISBN: 0821853376 ISBN-13(EAN): 9780821853375
Издательство: Mare Nostrum (Eurospan)
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Цена: 72990.00 T
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Описание: "September 2011, volume 213, number 1002 (third of 5 numbers)."

Автор: Carlo Mantegazza
Название: Lecture Notes on Mean Curvature Flow
ISBN: 3034803400 ISBN-13(EAN): 9783034803403
Издательство: Springer
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Цена: 93160.00 T
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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.

Автор: Gang Zhou, Dan Knopf, Israel Michael Sigal
Название: Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow
ISBN: 1470428407 ISBN-13(EAN): 9781470428402
Издательство: Mare Nostrum (Eurospan)
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Цена: 77610.00 T
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Описание: Examines noncompact surfaces evolving by mean curvature flow (mcf). For an open set of initial data that are $C^3$-close to round, but without assuming rotational symmetry or positive mean curvature, the authors show that mcf solutions become singular in finite time by forming neckpinches, and they obtain detailed asymptotics of that singularity formation.

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: 51230.00 T
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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.

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: 50690.00 T
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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

Автор: Yoshihiro Tonegawa
Название: Brakke`s Mean Curvature Flow
ISBN: 9811370745 ISBN-13(EAN): 9789811370748
Издательство: Springer
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Цена: 46570.00 T
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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.