Constant Mean Curvature Surfaces of Revolution and their Stability Год выпуска: 2014Автор: Nahid SultanaИздательство: LAP Lambert Academic PublishingСтраниц: 112ISBN: 9783848481538Описание The field of Constant Mean Curvature (CMC) surfaces had its beginning in the nineteenth century with the works of Riemann, Weierstrass and Enneper. Recently it has enjoyed a surge of growth due to the advent of computer graphics. This field has applications in many applied fields such as applied physics, polymer science, architecture, and computer graphics. The method for the construction of CMC surfaces was developed by J. Dorfmeister, F. Pedit, and H. Wu; it is commonly called the DPW method. The DPW method is a Weierstrass type representation for CMC surfaces, using techniques of integrable systems. It gives an algorithm to compute all CMC surfaces. This book includes: explicit conformal parametrizations of CMC surfaces of revolution, in each of the three space forms Euclidean 3-space, spherical 3-space and hyperbolic 3-space by using the DPW method; the lower bounds for the Morse index and nullity of CMC tori of revolution in the 3-sphere; the spectra of Jacobi operators for CMC...
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Ангелина Предзащиту после консультаций с вами прошла!) ура! Сказали там исправить некоторые вещи! Но я попробую сама! Вроде ничего серьезного. Сейчас отправила преподу на проверку! Сказал вечером проверит. Спасибо что успели подсказать!
