• 제목/요약/키워드: sphere congruence

검색결과 1건 처리시간 0.014초

RIBAUCOUR TRANSFORMATIONS OF THE SURFACES WITH CONSTANT POSITIVE GAUSSIAN CURVATURES IN THE 3-DIMENSIONAL EUCLIDEAN SPACE

  • PARK, Joon-Sang
    • 대한수학회논문집
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    • 제21권1호
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    • pp.165-175
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    • 2006

  • We associate the surfaces of constant Gaussian curvature K = 1 with no umbilics to a subclass of the solutions of $O(4,\;1)/O(3){\times}O(1,\;1)-system$. From this correspondence, we can construct new K = 1 surfaces from a known K = 1 surface by using a kind of dressing actions on the solutions of this system.

  • https://doi.org/10.4134/CKMS.2006.21.1.165 인용 PDF KSCI