Existence Theorems for Minimal Surfaces of Non-Zero Genus Spanning a Contour
Friedrich Tomi · Anthony Tromba
Jan 1988 · American Mathematical Society: Memoirs of the American Mathematical SocietyBook 382 · American Mathematical Soc.
Ebook
83
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Free sample
About this ebook
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.
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Science & math
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