메뉴 건너뛰기




Volumn 30, Issue 2, 2004, Pages 227-281

Maslovian Lagrangian immersions of real space forms into complex space forms

Author keywords

complex space form; form; Lagrangian cylinder; Lagrangian immersion; Lagrangian pseudo sphere; Maslovian Lagrangian immersion; real space

Indexed keywords


EID: 14644386547     PISSN: 02892316     EISSN: None     Source Type: Journal    
DOI: 10.4099/math1924.30.227     Document Type: Article
Times cited : (12)

References (17)
  • 2
    • 0012945251 scopus 로고    scopus 로고
    • Closed conformal vector fields and Lagrangian submanifolds in complex space forms
    • I. Castro, C.R. Montealegre and F. Urbano, Closed conformal vector fields and Lagrangian submanifolds in complex space forms, Pacific J. Math., 199 (2001), 269–302.
    • (2001) Pacific J. Math. , vol.199 , pp. 269-302
    • Castro, I.1    Montealegre, C.R.2    Urbano, F.3
  • 3
    • 0003486856 scopus 로고
    • Geometry of Submanifolds
    • M. Dekker, New York
    • B.-Y. Chen, Geometry of Submanifolds, M. Dekker, New York, 1973.
    • (1973)
    • Chen, B.-Y.1
  • 4
    • 0031524196 scopus 로고    scopus 로고
    • Complex extensors and Lagrangian submanifolds in complex Euclidean space
    • B.-Y. Chen, Complex extensors and Lagrangian submanifolds in complex Euclidean space, Tohoku Math. J., 49 (1997) 277–297.
    • (1997) Tohoku Math. J. , vol.49 , pp. 277-297
    • Chen, B.-Y.1
  • 5
    • 0002316156 scopus 로고    scopus 로고
    • Interaction of Legendre curves and Lagrangian submanifolds
    • B.-Y. Chen, Interaction of Legendre curves and Lagrangian submanifolds, Israel J. Math., 99 (1997), 69–108
    • (1997) Israel J. Math. , vol.99 , pp. 69-108
    • Chen, B.-Y.1
  • 6
    • 0033438613 scopus 로고    scopus 로고
    • Representation of flat Lagrangian H-umbilical submanifolds in complex Euclidean spaces
    • B.-Y. Chen, Representation of flat Lagrangian H-umbilical submanifolds in complex Euclidean spaces, Tohoku Math. J., 51 (1999) 13–20.
    • (1999) Tohoku Math. J. , vol.51 , pp. 13-20
    • Chen, B.-Y.1
  • 7
    • 14644409456 scopus 로고    scopus 로고
    • Maslovian Lagrangian surfaces of constant curvature in complex projective or complex hyperbolic planes
    • (to appear)
    • B.-Y. Chen, Maslovian Lagrangian surfaces of constant curvature in complex projective or complex hyperbolic planes, (to appear).
    • Chen, B.-Y.1
  • 8
    • 3142711674 scopus 로고    scopus 로고
    • Lagrangian surfaces of constant curvature in complex Euclidean plane
    • B.-Y. Chen, Lagrangian surfaces of constant curvature in complex Euclidean plane, Tohoku Math. J., 56 (2004), 289–298.
    • (2004) Tohoku Math. J. , vol.56 , pp. 289-298
    • Chen, B.-Y.1
  • 9
    • 85024734962 scopus 로고    scopus 로고
    • Classification of Lagrangian surfaces of constant curvature in complex projective plane
    • (to appear)
    • B.-Y. Chen, Classification of Lagrangian surfaces of constant curvature in complex projective plane, J. Geom. Phys., (to appear).
    • J. Geom. Phys.
    • Chen, B.-Y.1
  • 11
    • 22044438633 scopus 로고
    • Lagrangian isometric immersions of a real-space-form Mn(c) into a complex-space-form Mn(4c)
    • B.-Y. Chen, F. Dillen, L. Verstraelen and L. Vrancken, Lagrangian isometric immersions of a real-space-form Mn(c) into a complex-space-form Mn(4c), Math. Proc. Cambridge Philo. Soc., 124 (1990), 107–125.
    • (1990) Math. Proc. Cambridge Philo. Soc. , vol.124 , pp. 107-125
    • Chen, B.-Y.1    Dillen, F.2    Verstraelen, L.3    Vrancken, L.4
  • 12
  • 13
    • 84966204168 scopus 로고
    • Totally real minimal immersions of n-dimensional totally real space forms into n-dimensional complex space forms
    • N. Ejiri, Totally real minimal immersions of n-dimensional totally real space forms into n-dimensional complex space forms, Proc. Amer. Math. Soc., 84 (1982), 243–246.
    • (1982) Proc. Amer. Math. Soc. , vol.84 , pp. 243-246
    • Ejiri, N.1
  • 14
    • 0000643534 scopus 로고
    • Classe de Maslov d’une sous-variété Lagrangienne et minimalite
    • J.-M. Morvan, Classe de Maslov d’une sous-variété 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
  • 15
    • 0002272308 scopus 로고
    • Twisted products in pseudo-Riemannian geometry
    • R. Ponge and H. Reckziegel, Twisted products in pseudo-Riemannian geometry, Geometriae Dedicata, 48 (1993), 15–25.
    • (1993) Geometriae Dedicata , vol.48 , pp. 15-25
    • Ponge, R.1    Reckziegel, H.2
  • 16
    • 0003021759 scopus 로고
    • Horizontal lifts of isometric immersions into the bundle space of a pseudo-Riemannian submersion, Global Diff. Geom and Global Analysis (1984)
    • H. Reckziegel, Horizontal lifts of isometric immersions into the bundle space of a pseudo-Riemannian submersion, Global Diff. Geom and Global Analysis (1984), Lecture Notes in Math., 12 (1985), 264–279.
    • (1985) Lecture Notes in Math. , vol.12 , pp. 264-279
    • Reckziegel, H.1
  • 17
    • 0001019415 scopus 로고    scopus 로고
    • Lagrangian submanifolds of Cn with conformal Maslov form and the Whitney sphere
    • A. Ros and F. Urbano, Lagrangian submanifolds of Cn with conformal Maslov form and the Whitney sphere, J. Math. Soc. Japan, 50 (1998), 203–226.
    • (1998) J. Math. Soc. Japan , vol.50 , pp. 203-226
    • Ros, A.1    Urbano, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.