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Existence Theorems for Minimal Surfaces of Non Zero Genus Spanning a Contour Book PDF Summary

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.

Detail Book of Existence Theorems for Minimal Surfaces of Non Zero Genus Spanning a Contour PDF

Existence Theorems for Minimal Surfaces of Non Zero Genus Spanning a Contour
  • Author : Friedrich Tomi
  • Release : 21 September 1988
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821824450
  • Genre : Mathematics
  • Total Page : 93 pages
  • Language : English
  • PDF File Size : 8,7 Mb

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