This specific ISBN edition is currently not available.View all copies of this ISBN edition:
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.
"synopsis" may belong to another edition of this title.
R. López, Professor at the University of Granada’s Department of Geometry and Topology has published more than 70 articles, many of them in journals with high Impact Factors (Duke Math. J., J. Diff. Eq. Calculus of Var., Comm. Math. Phys. SIAM J. Math. Anal.) and has served as a visiting professor at Paris VII, Idaho St. Univ., Sao Paulo, Toledo, Iasi and KIAS. His main research area is ‘surfaces with prescribed mean curvature,’ including elliptic equations and general relativity.
"About this title" may belong to another edition of this title.
Book Description Condition: New. Seller Inventory # UK15624
Book Description Condition: New. New. US edition. Perfect condition. Customer satisfaction our priority. Seller Inventory # ABE-OCT-88526
Book Description Condition: Brand New. New. US edition. Customer Satisfaction guaranteed!!. Seller Inventory # SHUB88526
Book Description Condition: Brand New. New, US edition. Excellent Customer Service. Seller Inventory # ABEUSAOCT18-88526
Book Description Springer. Condition: New. New, Fast Delivery , 100 % money back if any problem with product and services. Ship from Multiple Location's. Seller Inventory # ABEUS4916
Book Description Condition: New. New,Fast Delivery , 100 % money back if any problem with product and services. Seller Inventory # ABEZ5721
Book Description Springer, 2013. Condition: New. Seller Inventory # MBS-9783642396250
Book Description Springer, 2013. HRD. Condition: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # IQ-9783642396250
Book Description Springer, 2013. Hardback. Condition: NEW. 9783642396250 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Seller Inventory # HTANDREE0422053
Book Description Springer, 2013. Condition: New. book. Seller Inventory # M3642396259