Willmore Energy And Willmore Conjecture
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Willmore Energy And Willmore Conjecture
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Author : Magdalena D. Toda
language : en
Publisher: CRC Press
Release Date : 2017-10-30
Willmore Energy And Willmore Conjecture written by Magdalena D. Toda and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-30 with Mathematics categories.
This book is the first monograph dedicated entirely to Willmore energy and Willmore surfaces as contemporary topics in differential geometry. While it focuses on Willmore energy and related conjectures, it also sits at the intersection between integrable systems, harmonic maps, Lie groups, calculus of variations, geometric analysis and applied differential geometry. Rather than reproducing published results, it presents new directions, developments and open problems. It addresses questions like: What is new in Willmore theory? Are there any new Willmore conjectures and open problems? What are the contemporary applications of Willmore surfaces? As well as mathematicians and physicists, this book is a useful tool for postdoctoral researchers and advanced graduate students working in this area.
Willmore Energy And Willmore Conjecture
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Author : Magdalena Toda
language : en
Publisher:
Release Date : 2018
Willmore Energy And Willmore Conjecture written by Magdalena Toda and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with MATHEMATICS categories.
"This book is the first monograph dedicated entirely to Willmore energy and Willmore surfaces as contemporary topics in differential geometry. While it focuses on Willmore energy and related conjectures, it also sits at the intersection between integrable systems, harmonic maps, Lie groups, calculus of variations, geometric analysis and applied differential geometry. Rather than reproducing published results, it presents new directions, developments and open problems. It addresses questions like: What is new in Willmore theory? Are there any new Willmore conjectures and open problems? What are the contemporary applications of Willmore surfaces?As well as mathematicians and physicists, this book is a useful tool for postdoctoral researchers and advanced graduate students working in this area. "--Provided by publisher.
Constrained Willmore Surfaces
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Author : Áurea Casinhas Quintino
language : en
Publisher: Cambridge University Press
Release Date : 2021-06-10
Constrained Willmore Surfaces written by Áurea Casinhas Quintino and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-10 with Mathematics categories.
From Bäcklund to Darboux: a comprehensive journey through the transformation theory of constrained Willmore surfaces, with applications to constant mean curvature surfaces.
Minimal Surfaces Integrable Systems And Visualisation
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Author : Tim Hoffmann
language : en
Publisher: Springer Nature
Release Date : 2021-05-06
Minimal Surfaces Integrable Systems And Visualisation written by Tim Hoffmann and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-06 with Mathematics categories.
This book collects original peer-reviewed contributions to the conferences organised by the international research network “Minimal surfaces: Integrable Systems and Visualization” financed by the Leverhulme Trust. The conferences took place in Cork, Granada, Munich and Leicester between 2016 and 2019. Within the theme of the network, the presented articles cover a broad range of topics and explore exciting links between problems related to the mean curvature of surfaces in homogeneous 3-manifolds, like minimal surfaces, CMC surfaces and mean curvature flows, integrable systems and visualisation. Combining research and overview articles by prominent international researchers, the book offers a valuable resource for both researchers and students who are interested in this research area.
Geometric Analysis
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Author : Hubert L. Bray
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-05-18
Geometric Analysis written by Hubert L. Bray and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-18 with Mathematics categories.
This volume includes expanded versions of the lectures delivered in the Graduate Minicourse portion of the 2013 Park City Mathematics Institute session on Geometric Analysis. The papers give excellent high-level introductions, suitable for graduate students wishing to enter the field and experienced researchers alike, to a range of the most important areas of geometric analysis. These include: the general issue of geometric evolution, with more detailed lectures on Ricci flow and Kähler-Ricci flow, new progress on the analytic aspects of the Willmore equation as well as an introduction to the recent proof of the Willmore conjecture and new directions in min-max theory for geometric variational problems, the current state of the art regarding minimal surfaces in R3, the role of critical metrics in Riemannian geometry, and the modern perspective on the study of eigenfunctions and eigenvalues for Laplace–Beltrami operators.
Geometric Measure Theory
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Author : Frank Morgan
language : en
Publisher: Academic Press
Release Date : 2008-09-09
Geometric Measure Theory written by Frank Morgan and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-09 with Mathematics categories.
Geometric Measure Theory, Fourth Edition, is an excellent text for introducing ideas from geometric measure theory and the calculus of variations to beginning graduate students and researchers.This updated edition contains abundant illustrations, examples, exercises, and solutions; and the latest results on soap bubble clusters, including a new chapter on Double Bubbles in Spheres, Gauss Space, and Tori. It also includes a new chapter on Manifolds with Density and Perelman's Proof of the Poincaré Conjecture.This text is essential to any student who wants to learn geometric measure theory, and will appeal to researchers and mathematicians working in the field. Morgan emphasizes geometry over proofs and technicalities providing a fast and efficient insight into many aspects of the subject.New to the 4th edition:* Abundant illustrations, examples, exercises, and solutions.* The latest results on soap bubble clusters, including a new chapter on "Double Bubbles in Spheres, Gauss Space, and Tori."* A new chapter on "Manifolds with Density and Perelman's Proof of the Poincaré Conjecture."* Contributions by undergraduates.
Introduction To M Bius Differential Geometry
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Author : Udo Hertrich-Jeromin
language : en
Publisher: Cambridge University Press
Release Date : 2003-08-14
Introduction To M Bius Differential Geometry written by Udo Hertrich-Jeromin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-08-14 with Mathematics categories.
This book introduces the reader to the geometry of surfaces and submanifolds in the conformal n-sphere.
Mathematical Congress Of The Americas
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Author : Jimmy Petean
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-01-25
Mathematical Congress Of The Americas written by Jimmy Petean and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-25 with Mathematics categories.
This volume contains the proceedings of the First Mathematical Congress of the Americas, held from August 5-9, 2013, in Guanajuato, México. With the participation of close to 1,000 researchers from more than 40 countries, the meeting set a benchmark for mathematics in the two continents. The papers, written by some of the plenary and invited speakers, as well as winners of MCA awards, cover new developments in classic topics such as Hopf fibrations, minimal surfaces, and Markov processes, and provide recent insights on combinatorics and geometry, isospectral spherical space forms, homogenization on manifolds, and Lagrangian cobordism, as well as applications to physics and biology.
Topics In Modern Regularity Theory
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Author : Giuseppe Mingione
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-04-26
Topics In Modern Regularity Theory written by Giuseppe Mingione and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-26 with Mathematics categories.
This book contains lecture notes of a series of courses on the regularity theory of partial differential equations and variational problems, held in Pisa and Parma in the years 2009 and 2010. The contributors, Nicola Fusco, Tristan Rivière and Reiner Schätzle, provide three updated and extensive introductions to various aspects of modern Regularity Theory concerning: mathematical modelling of thin films and related free discontinuity problems, analysis of conformally invariant variational problems via conservation laws, and the analysis of the Willmore functional. Each contribution begins with a very comprehensive introduction, and is aimed to take the reader from the introductory aspects of the subject to the most recent developments of the theory.
2023 Matrix Annals
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Author : David R. Wood
language : en
Publisher: Springer Nature
Release Date : 2025-07-02
2023 Matrix Annals written by David R. Wood and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-02 with Mathematics categories.
MATRIX is Australia’s residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1–2 weeks in duration. This book is a scientific record of the 14 research programs held at MATRIX in 2023, including combined events with the Mathematisches Forschungsinstitut Oberwolfach (MFO), and with the Research Institute for Mathematical Sciences Kyoto University (RIMS).