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Volumn 32, Issue 1, 2010, Pages 29-39

An obstruction to the existence of immersed curves of prescribed curvature

Author keywords

Differential geometry; Immersed curve; Mean curvature; Prescribed curvature

Indexed keywords


EID: 72449130453     PISSN: 09262601     EISSN: 1572929X     Source Type: Journal    
DOI: 10.1007/s11118-009-9142-8     Document Type: Article
Times cited : (9)

References (10)
  • 1
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    • Aleksandrov, A. D.: Uniqueness theorems for surfaces in the large, I. Vestn. Leningr. Univ. 11(19), 5-17 (1956).
    • (1956) Vestn. Leningr. Univ. , vol.11 , Issue.19 , pp. 5-17
    • Aleksandrov, A.D.1
  • 4
    • 84967773632 scopus 로고
    • Scalar curvature functions in a conformal class of metrics and conformal transformations
    • Bourguignon, J.-P., Ezin, J.-P.: Scalar curvature functions in a conformal class of metrics and conformal transformations. Trans. Am. Math. Soc. 301(2), 723-736 (1987).
    • (1987) Trans. Am. Math. Soc. , vol.301 , Issue.2 , pp. 723-736
    • Bourguignon, J.-P.1    Ezin, J.-P.2
  • 5
    • 84972514035 scopus 로고
    • Some integral formulas for hypersurfaces in Euclidean spaces
    • Chen, B.-Y.: Some integral formulas for hypersurfaces in Euclidean spaces. Nagoya Math. J. 43, 117-125 (1971).
    • (1971) Nagoya Math. J. , vol.43 , pp. 117-125
    • Chen, B.-Y.1
  • 6
    • 0003855150 scopus 로고
    • 1Oxford Lectures Series in Mathematics and its Applications, Oxford: Oxford Science
    • Fonseca, I., Gangbo, W.: Degree Theory in Analysis and Applications, vol. 2 of Oxford Lectures Series in Mathematics and its Applications, 1st edn. Oxford Science, Oxford (1995).
    • (1995) Degree Theory in Analysis and Applications , vol.2
    • Fonseca, I.1    Gangbo, W.2
  • 7
    • 0004226767 scopus 로고
    • 2 Lecture Notes in Mathematics, Berlin: Springer
    • Hopf, H.: Differential Geometry in the Large, vol. 1000 of Lecture Notes in Mathematics, 2nd edn. Springer, Berlin (1989).
    • (1989) Differential Geometry in the Large , vol.1000
    • Hopf, H.1
  • 8
    • 0002010985 scopus 로고
    • Curvature functions for compact 2-manifolds
    • Kazdan, J. L., Warner, F. W.: Curvature functions for compact 2-manifolds. Ann. Math. (2) 99, 14-47 (1974).
    • (1974) Ann. Math. (2) , vol.99 , pp. 14-47
    • Kazdan, J.L.1    Warner, F.W.2
  • 9
    • 70349660363 scopus 로고
    • The Jordan-Brouwer separation theorem for smooth hypersurfaces
    • Lima, E. L.: The Jordan-Brouwer separation theorem for smooth hypersurfaces. Am. Math. Mon. 95(1), 39-42 (1988).
    • (1988) Am. Math. Mon. , vol.95 , Issue.1 , pp. 39-42
    • Lima, E.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.