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Mathematical Research Letters
Volumn 6, Issue 5-6, 1999, Pages 487-493
The Willmore conjecture in the real projective space
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EID: 0033235858     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.1999.v6.n5.a2     Document Type: Article
Times cited : (47)
References (14)
  • 1
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    • Bryant, R.1
  • 2
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    • On the total curvature of immersed manifolds V. C-surfaces in Euclidean m-space
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    • (1981) Bull. Inst. Math. Acad. Sinica , vol.9 , pp. 509-516
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  • 4
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    • Comparison surfaces for the Willmore problem
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    • Kusner, R.1
  • 5
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    • Curves in the hyperbolic plane and mean curvature of tori in 3-space
    • [5] J. Langer and D. Singer, Curves in the hyperbolic plane and mean curvature of tori in 3-space, Bull. London Math. Soc. 16 (1984) 531-534.
    • (1984) Bull. London Math. Soc. , vol.16 , pp. 531-534
    • Langer, J.1    Singer, D.2
  • 6
    • 0001668619 scopus 로고
    • On curvature integrals and knots
    • [6] R. Langevin and H. Rosenberg, On curvature integrals and knots, Topology 15 (1976) 405-416.
    • (1976) Topology , vol.15 , pp. 405-416
    • Langevin, R.1    Rosenberg, H.2
  • 7
    • 0001278224 scopus 로고
    • A new conformal invariant and its applications to the Willmore conjecture and first eigenvalue of compact surfaces
    • [7] P. Li and S.-T. Yau, A new conformal invariant and its applications to the Willmore conjecture and first eigenvalue of compact surfaces, Invent. Math. 69(1982) 269-291.
    • (1982) Invent. Math. , vol.69 , pp. 269-291
    • Li, P.1    Yau, S.-T.2
  • 8
    • 0001304856 scopus 로고
    • Minimal immersions of surfaces by the first eigenfunctions and conformal area
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    • (1986) Invent. Math. , vol.83 , pp. 153-166
    • Montiel, S.1    Ros, A.2
  • 9
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    • Stable constant mean curvature tori and the isoperimetric problem in three space forms
    • [9] M. Ritoré and A. Ros, Stable constant mean curvature tori and the isoperimetric problem in three space forms, Comment. Math. Helv. 67 (1992) 293-305.
    • (1992) Comment. Math. Helv. , vol.67 , pp. 293-305
    • Ritoré, M.1    Ros, A.2
  • 10
    • 21844487214 scopus 로고    scopus 로고
    • The spaces of index one minimal surfaces and stable constant mean curvature surfaces embedded in flat three manifolds
    • [10] _, The spaces of index one minimal surfaces and stable constant mean curvature surfaces embedded in flat three manifolds, Trans. Amer. Math. Soc. 348 (1996) 391-410.
    • (1996) Trans. Amer. Math. Soc. , vol.348 , pp. 391-410
  • 12
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    • Existence of surfaces minimizing the Willmore functional
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    • (1993) Comm. Anal. Geom. , vol.2 , pp. 281-326
    • Simon, L.1
  • 14
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    • Mean curvature of Riemannian immersions
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.