Weakly Modular Graphs and Nonpositive Curvature, Damian Osajda, Hiroshi Hirai, Jeremie Chalopin, Victor Chepoi
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: Anne Broise-Alamichel; Jouni Parkkonen; Fr?d?ric P Название: Equidistribution and Counting Under Equilibrium States in Negative Curvature and Trees ISBN: 3030183149 ISBN-13(EAN): 9783030183141 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book provides a complete exposition of equidistribution and counting problems weighted by a potential function of common perpendicular geodesics in negatively curved manifolds and simplicial trees. Avoiding any compactness assumptions, the authors extend the theory of Patterson-Sullivan, Bowen-Margulis and Oh-Shah (skinning) measures to CAT(-1) spaces with potentials. The work presents a proof for the equidistribution of equidistant hypersurfaces to Gibbs measures, and the equidistribution of common perpendicular arcs between, for instance, closed geodesics. Using tools from ergodic theory (including coding by topological Markov shifts, and an appendix by Buzzi that relates weak Gibbs measures and equilibrium states for them), the authors further prove the variational principle and rate of mixing for the geodesic flow on metric and simplicial trees—again without the need for any compactness or torsionfree assumptions.In a series of applications, using the Bruhat-Tits trees over non-Archimedean local fields, the authors subsequently prove further important results: the Mertens formula and the equidistribution of Farey fractions in function fields, the equidistribution of quadratic irrationals over function fields in their completions, and asymptotic counting results of the representations by quadratic norm forms.One of the book's main benefits is that the authors provide explicit error terms throughout. Given its scope, it will be of interest to graduate students and researchers in a wide range of fields, for instance ergodic theory, dynamical systems, geometric group theory, discrete subgroups of locally compact groups, and the arithmetic of function fields.
Автор: Laurent Najman; Pascal Romon Название: Modern Approaches to Discrete Curvature ISBN: 3319580019 ISBN-13(EAN): 9783319580012 Издательство: Springer Рейтинг: Цена: 60550.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book provides a valuable glimpse into discrete curvature, a rich new field of research which blends discrete mathematics, differential geometry, probability and computer graphics.
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) Рейтинг: Цена: 77610.00 T Наличие на складе: Невозможна поставка. 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: Brakke Kenneth a. Название: The Motion of a Surface by Its Mean Curvature. (MN-20): ISBN: 0691611513 ISBN-13(EAN): 9780691611518 Издательство: Wiley Рейтинг: Цена: 47520.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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 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: E M Ovsiyuk, V V Kisel, V M Redkov Название: Maxwell Electrodynamics & Boson Fields in Spaces of Constant Curvature ISBN: 1626188912 ISBN-13(EAN): 9781626188914 Издательство: Nova Science Рейтинг: Цена: 304120.00 T Наличие на складе: Невозможна поставка. Описание: Claudia, single mother of two young children, pines for her past independent life. Her ex, after all, has moved on to a new wardrobe, a new penchant for lattes, new adult friends. But in Claudia`s house she`s still finding bananas in the sock drawer, cigarettes taped to wrestling figures, and doodles on her MasterCard bills. Then Claudia receives the unexpected news that her mother has died.
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 Рейтинг: Цена: 96090.00 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.
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: 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: Brakke Kenneth a. Название: The Motion of a Surface by Its Mean Curvature. (Mn-20) ISBN: 0691639515 ISBN-13(EAN): 9780691639512 Издательство: Wiley Рейтинг: Цена: 128190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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: Katsuhiro Shiohama; Takashi Sakai; Toshikazu Sunad Название: Curvature and Topology of Riemannian Manifolds ISBN: 3540167706 ISBN-13(EAN): 9783540167709 Издательство: Springer Рейтинг: Цена: 37220.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
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