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CIRCLE-FOLIATED MINIMAL SURFACES IN 4-DIMENSIONAL SPACE FORMS
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 Title & Authors
CIRCLE-FOLIATED MINIMAL SURFACES IN 4-DIMENSIONAL SPACE FORMS
PARK, SUNG-HO;
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 Abstract
Catenoid and Riemann's minimal surface are foliated by circles, that is, they are union of circles. In , there is no other nonplanar example of circle-foliated minimal surfaces. In , the graph of w = c/z for real constant c and is also foliated by circles. In this paper, we show that every circle-foliated minimal surface in is either a catenoid or Riemann's minimal surface in some 3-dimensional Affine subspace or a graph surface in some 4-dimensional Affine subspace. We use the property that is circle-foliated to construct circle-foliated minimal surfaces in and .
 Keywords
circle-foliated surface;minimal surface in and ;
 Language
English
 Cited by
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