Minimal surfaces are among the most natural objects in Differential Geometry, and have been studied for the past 250 years ever since the pioneering work of Lagrange. The subject is characterized by a profound beauty, but perhaps even more remarkably, minimal surfaces (or minimal submanifolds) have encountered striking applications in other fields, like three-dimensional topology, mathematical physics, conformal geometry, among others. Even though it has been the subject of intense activity, many basic open problems still remain.
The time scales theory projected by Stefan Hilger in 1988
unifies the study of continuous and discrete analysis. Since then, it has been
used intensively by many researchers working in different areas of mathematics.
The main goal of this book is to find suitable time scale analog of minimal
surfaces. This class of surfaces is considered in the context of the dynamic
geometry on time scales.
The aim of this book is to present a clear and
well-organized treatment of the concept behind the development of mathematics
and solution techniques. The text material of this book is presented in highly
readable, mathematically solid format.
Author (s) Details
Svetlin G. Georgiev
Department of Mathematics, Sorbonne University, Paris, France.
Please see the book here:- https://doi.org/10.9734/bpi/mono/978-93-48006-14-1
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