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Volumn 126, Issue 11, 1998, Pages 3427-3436

The fary-milnor theorem in hadamard manifolds

Author keywords

Cat(0) spaces; Hadamard manifolds; Knots; Total curvature

Indexed keywords


EID: 22444453310     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-98-04423-2     Document Type: Article
Times cited : (21)

References (14)
  • 2
    • 0003123787 scopus 로고
    • Russian. MR 14:198a
    • Trudy Mat. Inst. Steklov 38 (1951), 5-23 (Russian). MR 14:198a
    • (1951) Trudy Mat. Inst. Steklov , vol.38 , pp. 5-23
  • 3
    • 0001799360 scopus 로고
    • Über eine Verallgemeinerung der Riemannschen Geometrie
    • MR 19:304h
    • A. D. Alexandrov, Über eine Verallgemeinerung der Riemannschen Geometrie, Sehr. Forschungsinst. Math, l (1957), 33-84. MR 19:304h
    • (1957) Sehr. Forschungsinst. Math , vol.50 , pp. 33-84
    • Alexandrov, A.D.1
  • 5
    • 0003223423 scopus 로고
    • Lectures on Spaces of Nonpositive Curvature
    • Birkhäuser, Basel, MR 97a:53053
    • [Ba] W. Ballmann, Lectures on Spaces of Nonpositive Curvature, DMV Seminar Band 25, Birkhäuser, Basel, 1995. MR 97a:53053
    • (1995) DMV Seminar Band , vol.25
    • Ballmann, W.1
  • 6
    • 0001489441 scopus 로고
    • Afultidimensional generalized Riemannian spaces, Geometry IV. Non-regular Riemannian Geometry
    • Springer-Verlag, Berlin Heidelberg, CMP 94:08
    • [BN] V. N. Berestovskii and I. G. Nikolaev, Afultidimensional generalized Riemannian spaces, Geometry IV. Non-regular Riemannian Geometry. Encyclopaedia of Mathematical Sciences, Springer-Verlag, Berlin Heidelberg, 1993, pp. 165-244. CMP 94:08
    • (1993) Encyclopaedia of Mathematical Sciences , pp. 165-244
    • Berestovskii, V.N.1    Nikolaev, I.G.2
  • 7
    • 84972544269 scopus 로고
    • The absolute total curvature of closed curves in Riemannian manifolds
    • MR 49:3795
    • [BHs] F. Brickell and C.C. Hsiung, The absolute total curvature of closed curves in Riemannian manifolds, J. Diff. Geom. 9 (1974), 177-193. MR 49:3795
    • (1974) J. Diff. Geom. , vol.9 , pp. 177-193
    • Brickell, F.1    Hsiung, C.C.2
  • 9
    • 0000918120 scopus 로고
    • Sur la courbure totale d'une courbe gauche faisant un nud
    • MR ll:393h
    • [F] I. Fàry, Sur la courbure totale d'une courbe gauche faisant un nud, Bulletin de la Soc. Math, de France 77 (1949), 128-138. MR ll:393h
    • (1949) Bulletin De La Soc. Math, De France , vol.77 , pp. 128-138
    • Fàry, I.1
  • 10
    • 0001761212 scopus 로고
    • OrfiAe Total Curvature of Knots
    • MR 12:273c
    • J. W. Milnor/OrfiAe Total Curvature of Knots, Ann.of Math. 52 (2) (1950), 248-257. MR 12:273c
    • (1950) Ann.of Math. , vol.52 , Issue.2 , pp. 248-257
    • Milnor, J.W.1
  • 11
    • 0001672503 scopus 로고
    • Eine elementargeometrische Eigenschaft von Verschlingungen und Knoten
    • [P] E. Pannwitz, Eine elementargeometrische Eigenschaft von Verschlingungen und Knoten, Math. Annalen. 108 (1933), 629-672.
    • (1933) Math. Annalen. , vol.108 , pp. 629-672
    • Pannwitz, E.1
  • 12
    • 33646984191 scopus 로고    scopus 로고
    • The theorem of Fary and Milnor for Hadamard manifolds
    • to appear
    • [S] C. Schmilz, The theorem of Fary and Milnor for Hadamard manifolds, Geom. Dedicata, to appear.
    • Geom. Dedicata
    • Schmilz, C.1
  • 13
    • 33646967464 scopus 로고
    • On the total curvature of closed curves in Riemannian manifolds
    • MR 39:902
    • [Sz] J. Szenthe, On the total curvature of closed curves in Riemannian manifolds, Publ. Math. Debrechen 15 (1968), 99-105. MR 39:902
    • (1968) Publ. Math. Debrechen , vol.15 , pp. 99-105
    • Szenthe, J.1
  • 14
    • 33646724418 scopus 로고
    • On the total absolute curvature of closed curves in manifolds of negative curvature
    • MR 51:1670
    • [T] Y. Tsukamoto, On the total absolute curvature of closed curves in manifolds of negative curvature, Math. Ann. 210 (1974), 313-319. MR 51:1670
    • (1974) Math. Ann. , vol.210 , pp. 313-319
    • Tsukamoto, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.