Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow, Gang Zhou, Dan Knopf, Israel Michael Sigal
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: Rafael L?pez Название: Constant Mean Curvature Surfaces with Boundary ISBN: 3662512564 ISBN-13(EAN): 9783662512562 Издательство: Springer Рейтинг: Цена: 79190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
The study of surfaces with constant mean curvature (CMC) is one of the main topics in classical differential geometry. Moreover, CMC surfaces are important mathematical models for the physics of interfaces in the absence of gravity, where they separate two different media or for capillary phenomena. Further, as most techniques used in the theory of CMC surfaces not only involve geometric methods but also PDE and complex analysis, the theory is also of great interest for many other mathematical fields.
While minimal surfaces and CMC surfaces in general have already been treated in the literature, the present work is the first to present a comprehensive study of "compact surfaces with boundaries," narrowing its focus to a geometric view. Basic issues include the discussion whether the symmetries of the curve inherit to the surface; the possible values of the mean curvature, area and volume; stability; the circular boundary case and the existence of the Plateau problem in the non-parametric case. The exposition provides an outlook on recent research but also a set of techniques that allows the results to be expanded to other ambient spaces. Throughout the text, numerous illustrations clarify the results and their proofs.
The book is intended for graduate students and researchers in the field of differential geometry and especially theory of surfaces, including geometric analysis and geometric PDEs. It guides readers up to the state-of-the-art of the theory and introduces them to interesting open problems.
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: 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: Manuel Ritor?; Vicente Miquel; Carlo Sinestrari; J Название: Mean Curvature Flow and Isoperimetric Inequalities ISBN: 303460212X ISBN-13(EAN): 9783034602129 Издательство: Springer Рейтинг: Цена: 27910.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Geometric flows have many applications in physics and geometry. The mean curvature flow also has many geometric applications, in analogy with the Ricci flow of metrics on abstract riemannian manifolds.
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: 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: 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.
Автор: Nicola Gigli Название: Nonsmooth Differential Geometry-An Approach Tailored for Spaces with Ricci Curvature Bounded from Below ISBN: 1470427656 ISBN-13(EAN): 9781470427658 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 77610.00 T Наличие на складе: Невозможна поставка. Описание: The author discusses in which sense general metric measure spaces possess a first order differential structure. Building on this, spaces with Ricci curvature bounded from below a second order calculus can be developed, permitting the author to define Hessian, covariant/exterior derivatives and Ricci curvature.
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