In this paper we will consider the number of minimal surfaces which do not touch all of a C3 knot in R3. We find a lower bound of the number of soap-film-like minimal surfaces spanning part of a given C3 knot in R3. This lower bound is called the admissible number of the knot. To do this, we will use the model defined by H.R. Parks , soap-film-like minimal suraces homotopically spanning knots modulo L.
|Number of pages||10|
|Journal||Houston Journal of Mathematics|
|Publication status||Published - 1996 Dec 1|
ASJC Scopus subject areas