Existence Theorems for Minimal Surfaces of Non-Zero Genus Spanning a Contour
Author | : Friedrich Tomi |
Publisher | : American Mathematical Soc. |
Total Pages | : 93 |
Release | : 1988 |
ISBN-10 | : 9780821824450 |
ISBN-13 | : 0821824457 |
Rating | : 4/5 (50 Downloads) |
Download or read book Existence Theorems for Minimal Surfaces of Non-Zero Genus Spanning a Contour written by Friedrich Tomi and published by American Mathematical Soc.. This book was released on 1988 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present a modern approach to the classical problem of Plateau based purely on differential geometric concepts. We not only reprove the classical results of Douglas but also develop a new geometric criterion on a given finite system of disjoint Jordan curves in three-dimensional Euclidean space which guarantees the existence of a minimal surface of a prescribed genus having these curves as boundary.