If two minimal surfaces equal to neighborhood then they are equal











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Does anyone know if there is any result that says "if two minimal surfaces equal to neighborhood then they are equal"?
My teacher said that you think the result is true, but I do not find this result anywhere.






differential-geometry reference-request surfaces riemann-surfaces minimal-surfaces







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  • Depending on your setting, minimal surfaces might turn out to be analytic (De Giorgi-Nash theorem), so they satisfy this unique extension property
    – Federico
    Nov 18 at 11:48















up vote
0
down vote

favorite












Does anyone know if there is any result that says "if two minimal surfaces equal to neighborhood then they are equal"?
My teacher said that you think the result is true, but I do not find this result anywhere.






differential-geometry reference-request surfaces riemann-surfaces minimal-surfaces







share|cite|improve this question






















  • Depending on your setting, minimal surfaces might turn out to be analytic (De Giorgi-Nash theorem), so they satisfy this unique extension property
    – Federico
    Nov 18 at 11:48













up vote
0
down vote

favorite









up vote
0
down vote

favorite











Does anyone know if there is any result that says "if two minimal surfaces equal to neighborhood then they are equal"?
My teacher said that you think the result is true, but I do not find this result anywhere.






differential-geometry reference-request surfaces riemann-surfaces minimal-surfaces







share|cite|improve this question













Does anyone know if there is any result that says "if two minimal surfaces equal to neighborhood then they are equal"?
My teacher said that you think the result is true, but I do not find this result anywhere.






differential-geometry reference-request surfaces riemann-surfaces minimal-surfaces




differential-geometry reference-request surfaces riemann-surfaces minimal-surfaces






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Nov 18 at 11:31









Takashi

1946




1946












  • Depending on your setting, minimal surfaces might turn out to be analytic (De Giorgi-Nash theorem), so they satisfy this unique extension property
    – Federico
    Nov 18 at 11:48


















  • Depending on your setting, minimal surfaces might turn out to be analytic (De Giorgi-Nash theorem), so they satisfy this unique extension property
    – Federico
    Nov 18 at 11:48
















Depending on your setting, minimal surfaces might turn out to be analytic (De Giorgi-Nash theorem), so they satisfy this unique extension property
– Federico
Nov 18 at 11:48




Depending on your setting, minimal surfaces might turn out to be analytic (De Giorgi-Nash theorem), so they satisfy this unique extension property
– Federico
Nov 18 at 11:48















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