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.
Автор: Martin R. Bridson; Andr? H?fliger Название: Metric Spaces of Non-Positive Curvature ISBN: 3642083994 ISBN-13(EAN): 9783642083990 Издательство: Springer Рейтинг: Цена: 111790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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 Рейтинг: Цена: 47520.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: During the last four decades, there were numerous important developments on total mean curvature and the theory of finite type submanifolds.
Автор: Harko Tiberiu, Lobo Francisco S. N. Название: Extensions of F(r) Gravity: Curvature-Matter Couplings and Hybrid Metric-Palatini Theory ISBN: 1108428746 ISBN-13(EAN): 9781108428743 Издательство: Cambridge Academ Рейтинг: Цена: 163680.00 T Наличие на складе: Невозможна поставка. Описание: This book provides analysis of the leading, modified theories of gravity. It summarises the motivations behind the theories, their development, mathematical structure, and cosmological implications. Discussion of outstanding challenges highlights future research areas for graduate students and researchers.
Автор: Andrew Granville; Ze?v Rudnick Название: Equidistribution in Number Theory, An Introduction ISBN: 1402054033 ISBN-13(EAN): 9781402054037 Издательство: Springer Рейтинг: Цена: 144410.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Written for graduate students and researchers, this work provides an introduction to the concept of equidistribution in number theory, which is of importance in many areas, including cryptography, zeros of L-functions, Heegner points, prime number theory, the theory of quadratic forms, and the arithmetic aspects of quantum chaos.
Автор: Fran?oise Dal`Bo; Marc Peign?; Andrea Sambusetti Название: Analytic and Probabilistic Approaches to Dynamics in Negative Curvature ISBN: 3319381172 ISBN-13(EAN): 9783319381176 Издательство: Springer Рейтинг: Цена: 79190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The work consists of two introductory courses, developing different points of view on the study of the asymptotic behaviour of the geodesic flow, namely: the probabilistic approach via martingales and mixing (by Stephane Le Borgne);
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 Рейтинг: Цена: 32600.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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: Aravinda Название: Geometry, Topology, and Dynamics in Negative Curvature ISBN: 110752900X ISBN-13(EAN): 9781107529007 Издательство: Cambridge Academ Рейтинг: Цена: 76030.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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: Yoshihiro Tonegawa Название: Brakke`s Mean Curvature Flow ISBN: 9811370745 ISBN-13(EAN): 9789811370748 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Автор: Kichoon Yang Название: Complete Minimal Surfaces of Finite Total Curvature ISBN: 0792330129 ISBN-13(EAN): 9780792330127 Издательство: Springer Рейтинг: Цена: 71730.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Based on the idea that the study of complete minimal surfaces in R3 of finite total curvature amounts to the study of linear series on algebraic curves, this book offers an account of the Puncture Number Problem, which seeks to determine the possible underlying conformal structures for immersed complete minimal surfaces of finite total curvature.
Автор: A. Agrachev, D. Barilari, L. Rizzi Название: Curvature: A Variational Approach ISBN: 1470426463 ISBN-13(EAN): 9781470426460 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 65210.00 T Наличие на складе: Невозможна поставка. Описание: The curvature discussed in this paper is a far reaching generalization of the Riemannian sectional curvature. The authors give a unified definition of curvature which applies to a wide class of geometric structures whose geodesics arise from optimal control problems, including Riemannian, sub-Riemannian, Finsler and sub-Finsler spaces. Special attention is paid to the sub-Riemannian (or Carnot-Caratheodory) metric spaces. The authors' construction of curvature is direct and naive, and similar to the original approach of Riemann. In particular, they extract geometric invariants from the asymptotics of the cost of optimal control problems. Surprisingly, it works in a very general setting and, in particular, for all sub-Riemannian spaces.
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) Рейтинг: Цена: 72990.00 T Наличие на складе: Невозможна поставка. Описание: "September 2011, volume 213, number 1002 (third of 5 numbers)."
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