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Volumn 137, Issue 7, 2009, Pages 2445-2450

Curvature estimates for minimal surfaces with total boundary curvature less than 4φ

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EID: 77951045556     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-09-09810-4     Document Type: Article
Times cited : (5)

References (12)
  • 1
    • 0001292541 scopus 로고
    • Sur la courbure totale des courbes fermees
    • MR0025757 (10:60e)
    • K. Borsuk, Sur la courbure totale des courbes fermees, Ann. Soc. Polon. Math. 20 (1947), 251-265. MR0025757 (10:60e)
    • (1947) Ann. Soc. Polon. Math. , vol.20 , pp. 251-265
    • Borsuk, K.1
  • 2
    • 84968496827 scopus 로고
    • Solution of the problem of Plateau
    • MR1501590
    • J. Douglas, Solution of the problem of Plateau, Trans. Amer. Math. Soc. 33 (1931), 263-321. MR1501590
    • (1931) Trans. Amer. Math. Soc. , vol.33 , pp. 263-321
    • Douglas, J.1
  • 3
    • 0036000530 scopus 로고    scopus 로고
    • Embeddedness of minimal surfaces with total curvature at most 4φ
    • MR1888799
    • T. Ekholm, B. White, and D. Wienholtz, Embeddedness of minimal surfaces with total curvature at most 4φ, Ann. of Math. (2) 155 (2002), 209-234. MR1888799
    • (2002) Ann. of Math. , vol.155 , Issue.2 , pp. 209-234
    • Ekholm, T.1    White, B.2    Wienholtz, D.3
  • 4
    • 0000918120 scopus 로고
    • Sur la courbure totale d'une courbe gauche faisant un noeud
    • MR0033118 (11:393h)
    • I. Fáry, Sur la courbure totale d'une courbe gauche faisant un noeud, Bull. Soc. Math. France 77 (1949), 128-138. MR0033118 (11:393h)
    • (1949) Bull. Soc. Math. France , vol.77 , pp. 128-138
    • Fáry, I.1
  • 5
    • 0000235632 scopus 로고
    • Über Krümmung und Windung geschlossener Raumkurven
    • MR1512528
    • W. Fenchel, Über Krümmung und Windung geschlossener Raumkurven, Math. Ann. 101 (1929), 238-252. MR1512528
    • (1929) Math. Ann. , vol.101 , pp. 238-252
    • Fenchel, W.1
  • 6
    • 0004194874 scopus 로고
    • Prentice-Hall, Inc., Englewood Cliffs, New Jersey, MR0348781 (50:1276)
    • V. Guillemin and A. Pollack, Differential topology, Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1974. MR0348781 (50:1276)
    • (1974) Differential topology
    • Guillemin, V.1    Pollack, A.2
  • 7
    • 0000170677 scopus 로고
    • The existence of embedded minimal surfaces and the problem of uniqueness
    • MR645492 (83j:53060)
    • W. H. Meeks III and S. T. Yau, The existence of embedded minimal surfaces and the problem of uniqueness,Math. Z. 179 (1982), 151-168. MR645492 (83j:53060)
    • (1982) Math. Z. , vol.179 , pp. 151-168
    • Meeks III, W.H.1    Yau, S.T.2
  • 8
    • 0001761212 scopus 로고
    • On the total curvature of knots
    • MR0037509 (12:273c)
    • J. W. Milnor, On the total curvature of knots, Ann. of Math. (2) 52 (1950), 248-257. MR0037509 (12:273c)
    • (1950) Ann. of Math. , vol.52 , Issue.2 , pp. 248-257
    • Milnor, J.W.1
  • 9
    • 0009918141 scopus 로고
    • The boundary behavior of minimal surfaces. Kellogg's theorem and branch points on the boundary
    • MR0259766 (41:4399a)
    • J. C. C. Nitsche, The boundary behavior of minimal surfaces. Kellogg's theorem and branch points on the boundary, Invent. Math. 8 (1969), 313-333. MR0259766 (41:4399a)
    • (1969) Invent. Math. , vol.8 , pp. 313-333
    • Nitsche, J.C.C.1
  • 10
    • 0003445756 scopus 로고
    • Cambridge University Press, MR1015936
    • -, Lectures on minimal surfaces, vol. 1, Cambridge University Press, 1989. MR1015936
    • (1989) Lectures on minimal surfaces , vol.1
  • 11
    • 0001383290 scopus 로고
    • A proof of the regularity everywhere of the classical solution to Plateau's problem
    • no. 2, MR0266070
    • R. Osserman, A proof of the regularity everywhere of the classical solution to Plateau's problem,Ann.of Math.(2)91 (1970), no. 2, 550-569. MR0266070
    • (1970) Ann.of Math. , vol.91 , Issue.2 , pp. 550-569
    • Osserman, R.1
  • 12
    • 0000997742 scopus 로고
    • On Plateau's problem
    • no. 3, MR1502955
    • T. Radó, On Plateau's problem,Ann. of Math.(2) 31 (1930), no. 3, 457-469. MR1502955.
    • (1930) Ann. of Math. , vol.31 , Issue.2 , pp. 457-469
    • Radó, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.