On A Connected Sum Construction For Complete Minimal Surfaces Of Finite Total Curvature PDF Download
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Author | : Seong-Deog Yang |
Publisher | : |
Total Pages | : 122 |
Release | : 1997 |
Genre | : |
ISBN | : |
Download On a Connected Sum Construction for Complete Minimal Surfaces of Finite Total Curvature Book in PDF, ePub and Kindle
Author | : Tobias H. Colding |
Publisher | : American Mathematical Soc. |
Total Pages | : 330 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 0821853236 |
Download A Course in Minimal Surfaces Book in PDF, ePub and Kindle
"Minimal surfaces date back to Euler and Lagrange and the beginning of the calculus of variations. Many of the techniques developed have played key roles in geometry and partial differential equations. Examples include monotonicity and tangent cone analysis originating in the regularity theory for minimal surfaces, estimates for nonlinear equations based on the maximum principle arising in Bernstein's classical work, and even Lebesgue's definition of the integral that he developed in his thesis on the Plateau problem for minimal surfaces. This book starts with the classical theory of minimal surfaces and ends up with current research topics. Of the various ways of approaching minimal surfaces (from complex analysis, PDE, or geometric measure theory), the authors have chosen to focus on the PDE aspects of the theory. The book also contains some of the applications of minimal surfaces to other fields including low dimensional topology, general relativity, and materials science."--Publisher's description.
Author | : Robert Barnard Kusner |
Publisher | : |
Total Pages | : 154 |
Release | : 1987 |
Genre | : Extremal problems (Mathematics). |
ISBN | : |
Download Global Geometry of Extremal Surfaces in Three-space Book in PDF, ePub and Kindle
Author | : Tobias Holck Colding |
Publisher | : American Mathematical Society |
Total Pages | : 330 |
Release | : 2024-01-18 |
Genre | : Mathematics |
ISBN | : 1470476401 |
Download A Course in Minimal Surfaces Book in PDF, ePub and Kindle
Minimal surfaces date back to Euler and Lagrange and the beginning of the calculus of variations. Many of the techniques developed have played key roles in geometry and partial differential equations. Examples include monotonicity and tangent cone analysis originating in the regularity theory for minimal surfaces, estimates for nonlinear equations based on the maximum principle arising in Bernstein's classical work, and even Lebesgue's definition of the integral that he developed in his thesis on the Plateau problem for minimal surfaces. This book starts with the classical theory of minimal surfaces and ends up with current research topics. Of the various ways of approaching minimal surfaces (from complex analysis, PDE, or geometric measure theory), the authors have chosen to focus on the PDE aspects of the theory. The book also contains some of the applications of minimal surfaces to other fields including low dimensional topology, general relativity, and materials science. The only prerequisites needed for this book are a basic knowledge of Riemannian geometry and some familiarity with the maximum principle.
Author | : Paul Concus |
Publisher | : Springer Science & Business Media |
Total Pages | : 201 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 1461246563 |
Download Variational Methods for Free Surface Interfaces Book in PDF, ePub and Kindle
Vallombrosa Center was host during the week September 7-12, 1985 to about 40 mathematicians, physical scientists, and engineers, who share a common interest in free surface phenomena. This volume includes a selection of contributions by participants and also a few papers by interested scientists who were unable to attend in person. Although a proceedings volume cannot recapture entirely the stimulus of personal interaction that ultimately is the best justification for such a gathering, we do offer what we hope is a representative sampling of the contributions, indicating something of the varied and interrelated ways with which these classical but largely unsettled questions are currently being attacked. For the participants, and also for other specialists, the 23 papers that follow should help to establish and to maintain the new ideas and insights that were presented, as active working tools. Much of the material will certainly be of interest also for a broader audience, as it impinges and overlaps with varying directions of scientific development. On behalf of the organizing committee, we thank the speakers for excellent, well-prepared lectures. Additionally, the many lively informal discussions did much to contribute to the success of the conference.
Author | : Bernold Fiedler |
Publisher | : World Scientific |
Total Pages | : 846 |
Release | : 2000 |
Genre | : Differential equations |
ISBN | : 9789810249885 |
Download International Conference on Differential Equations, Berlin, Germany, 1-7 August, 1999 Book in PDF, ePub and Kindle
This book is a compilation of high quality papers focussing on five major areas of active development in the wide field of differential equations: dynamical systems, infinite dimensions, global attractors and stability, computational aspects, and applications. It is a valuable reference for researchers in diverse disciplines, ranging from mathematics through physics, engineering, chemistry, nonlinear science to the life sciences
Author | : William Meeks |
Publisher | : American Mathematical Soc. |
Total Pages | : 195 |
Release | : 2012 |
Genre | : Mathematics |
ISBN | : 0821869124 |
Download A Survey on Classical Minimal Surface Theory Book in PDF, ePub and Kindle
Meeks and Pérez extend their 2011 survey article "The classical theory of Minimal surfaces" in the Bulletin of the American Mathematical Society to include other recent research results. Their topics include minimal surfaces with finite topology and more than one end, limits of embedded minimal surfaces without local area or curvature bounds, conformal structure of minimal surfaces, embedded minimal surfaces of finite genus, topological aspects of minimal surfaces, and Calabi-Yau problems. There is no index. Annotation ©2013 Book News, Inc., Portland, OR (booknews.com).
Author | : Danny Calegari |
Publisher | : Oxford University Press on Demand |
Total Pages | : 378 |
Release | : 2007-05-17 |
Genre | : Mathematics |
ISBN | : 0198570082 |
Download Foliations and the Geometry of 3-Manifolds Book in PDF, ePub and Kindle
This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions. Significant themes returned to throughout the text include the importance of geometry, especially the hyperbolic geometry of surfaces, the importance of monotonicity, especially in1-dimensional and co-dimensional dynamics, and combinatorial approximation, using finite combinatorical objects such as train-tracks, branched surfaces and hierarchies to carry more complicated continuous objects.
Author | : |
Publisher | : |
Total Pages | : 1156 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : |
Download Mathematical Reviews Book in PDF, ePub and Kindle
Author | : Jean Pierre Bourguignon |
Publisher | : Cambridge University Press |
Total Pages | : 198 |
Release | : 1998-05-28 |
Genre | : Mathematics |
ISBN | : 9780521632461 |
Download Geometric Theory of Singular Phenomena in Partial Differential Equations Book in PDF, ePub and Kindle
This book gathers together papers from a workshop held in Cortona, Italy. The contributions come from a group of outstanding mathematicians and together they cover the most recent advances in the geometric theory of singular phenomena of partial differential equations occurring in real and complex differential geometry. This volume will be of great interest to all those whose research interests lie in real and complex differential geometry, partial differential equations, and gauge theory.