메뉴 건너뛰기




Volumn 50, Issue 1, 1998, Pages 203-226

Lagrangian submanifolds of Cn with conformal Maslov form and the Whitney sphere

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0001019415     PISSN: 00255645     EISSN: 18811167     Source Type: Journal    
DOI: 10.2969/jmsj/05010203     Document Type: Article
Times cited : (74)

References (18)
  • 1
    • 84972500360 scopus 로고
    • Conformality of Riemannian manifolds to spheres J
    • K. Amur and V.S. Hedge, Conformality of Riemannian manifolds to spheres J. Differential Geometry 9 (1974), 571–576.
    • (1974) Differential Geometry , vol.9 , pp. 571-576
    • Amur, K.1    Hedge, V.S.2
  • 2
    • 0004058055 scopus 로고
    • Einstein Manifolds
    • Springer-Verlag
    • A.L. Besse, Einstein Manifolds, Springer-Verlag, 1987.
    • (1987)
    • Besse, A.L.1
  • 3
    • 0040200859 scopus 로고    scopus 로고
    • A basic inequality for Lagrangian submanifolds and its application to Whitney’s immersion Preprint
    • V. Borrelli, B.Y. Chen and J.M. Morvan, A basic inequality for Lagrangian submanifolds and its application to Whitney’s immersion Preprint.
    • Borrelli, V.1    Chen, B.Y.2    Morvan, J.M.3
  • 4
    • 84972499180 scopus 로고
    • Lagrangian surfaces in the complex Euclidean plane with conformal Maslov form Tohoku
    • I. Castro and F. Urbano, Lagrangian surfaces in the complex Euclidean plane with conformal Maslov form Tohoku Math. J. 45 (1993), 565–582.
    • (1993) Math. J. , vol.45 , pp. 565-582
    • Castro, I.1    Urbano, F.2
  • 5
    • 0004002823 scopus 로고
    • Geometry of Submanifolds and its Applications
    • Science University of Tokyo
    • B.Y. Chen, Geometry of Submanifolds and its Applications, Science University of Tokyo, 1981.
    • (1981)
    • Chen, B.Y.1
  • 6
    • 84972513572 scopus 로고
    • Reduction of the codimension of an isometric immersion J
    • J. Erbacher, Reduction of the codimension of an isometric immersion J. Differential Geometry 5 (1971), 333–340.
    • (1971) Differential Geometry , vol.5 , pp. 333-340
    • Erbacher, J.1
  • 7
    • 84966204168 scopus 로고
    • Totally real minimal immersions of n-dimensional real space forms into n-dimendional complex space forms
    • N. Ejiri, Totally real minimal immersions of n-dimensional real space forms into n-dimendional complex space forms Proc. Amer. Math. Soc. 84 (1982), 243–246.
    • (1982) Proc. Amer. Math. Soc. , vol.84 , pp. 243-246
    • Ejiri, N.1
  • 8
    • 0040804374 scopus 로고
    • Pseudo-holomorphic curves in symplectic manifolds
    • M. Gromov, Pseudo-holomorphic curves in symplectic manifolds Invent. Math. 82 (1985), 307–347.
    • (1985) Invent. Math. , vol.82 , pp. 307-347
    • Gromov, M.1
  • 9
    • 84972506403 scopus 로고
    • Isometric immersions of Riemannian products J
    • J.D. Moore, Isometric immersions of Riemannian products J. Differential Geometry 5 (1971), 159–168.
    • (1971) Differential Geometry , vol.5 , pp. 159-168
    • Moore, J.D.1
  • 10
    • 0000643534 scopus 로고
    • Classe de Maslov d’une immersion Lagrangienne et minimalite
    • J.M. Morvan, Classe de Maslov d’une immersion Lagrangienne et minimalite C.R. Acad. Sc. Paris 292 (1981), 633–636.
    • (1981) C.R. Acad. Sc. Paris , vol.292 , pp. 633-636
    • Morvan, J.M.1
  • 11
    • 84972513472 scopus 로고
    • Conformal transformations of Riemannian manifolds J
    • M. Obata, Conformal transformations of Riemannian manifolds J. Differential Geometry 4 (1970), 311–333.
    • (1970) Differential Geometry , vol.4 , pp. 311-333
    • Obata, M.1
  • 12
    • 0000789799 scopus 로고
    • The tension field of the Gauss map
    • E.A. Ruh and J. Vilms, The tension field of the Gauss map Trans. Amer. Math. Soc. 149 (1970), 569–573.
    • (1970) Trans. Amer. Math. Soc. , vol.149 , pp. 569-573
    • Ruh, E.A.1    Vilms, J.2
  • 13
    • 84972539012 scopus 로고
    • Riemannian manifolds admitting a certain confomal transformation group J
    • Y. Suyama and Y. Tsukamoto, Riemannian manifolds admitting a certain confomal transformation group J. Differential Geometry 5 (1971), 415–426.
    • (1971) Differential Geometry , vol.5 , pp. 415-426
    • Suyama, Y.1    Tsukamoto, Y.2
  • 14
    • 84972511929 scopus 로고
    • Closed conformal vector fields J
    • S. Tanno and W. Weber, Closed conformal vector fields J. Differential Geometry 3 (1969), 361–366.
    • (1969) Differential Geometry , vol.3 , pp. 361-366
    • Tanno, S.1    Weber, W.2
  • 15
    • 84968468751 scopus 로고
    • Complete Riemannian manifolds and some vector fields
    • Y. Tashiro, Complete Riemannian manifolds and some vector fields Trans. Amer. Math. Soc. 117 (1965), 251–275.
    • (1965) Trans. Amer. Math. Soc. , vol.117 , pp. 251-275
    • Tashiro, Y.1
  • 16
    • 85024748903 scopus 로고
    • Totally real submanifolds Geometry and Topology of submanifolds
    • F. Urbano, Totally real submanifolds Geometry and Topology of submanifolds, Worl Scientific (1989), 198–208.
    • (1989) Worl Scientific , pp. 198-208
    • Urbano, F.1
  • 17
    • 85024746303 scopus 로고
    • Lectures on symplectic manifolds Conference board of the Mathematical Sciences
    • A. Weinstein, Lectures on symplectic manifolds Conference board of the Mathematical Sciences 29 (1977).
    • (1977) , vol.29
    • Weinstein, A.1
  • 18
    • 0000603719 scopus 로고
    • Submanifolds with constant mean curvature I
    • S.T. Yau, Submanifolds with constant mean curvature I Amer. J. Math. 96 (1974), 346–366.
    • (1974) Amer. J. Math. , vol.96 , pp. 346-366
    • Yau, S.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.