메뉴 건너뛰기




Volumn 125, Issue 3, 1999, Pages 463-509

Elliptic functions, theta function and hypersurfaces satisfying a basic equality

Author keywords

[No Author keywords available]

Indexed keywords


EID: 85006265461     PISSN: 03050041     EISSN: 14698064     Source Type: Journal    
DOI: 10.1017/S0305004198003120     Document Type: Article
Times cited : (15)

References (23)
  • 2
    • 0000819499 scopus 로고
    • Familles de surfaces isoparametriques dans les espaces a courbure constante
    • E. Cabtan. Familles de surfaces isoparametriques dans les espaces a courbure constante. Ann. Mat. Pura Appl. 17 (1938), 177-191.
    • (1938) Ann. Mat. Pura Appl. , vol.17 , pp. 177-191
    • Cabtan, E.1
  • 4
    • 0000380258 scopus 로고
    • Some pinching and classification theorems for minimal submanifolds
    • B. Y. Chen. Some pinching and classification theorems for minimal submanifolds. Archiv Math. 60 (1993), 568-578.
    • (1993) Archiv Math. , vol.60 , pp. 568-578
    • Chen, B.Y.1
  • 5
    • 0013186904 scopus 로고
    • Tubular hypersurfaces satisfying a basic equality
    • B. Y. Chen. Tubular hypersurfaces satisfying a basic equality. Soochow J. Math 20 (1994), 569-586.
    • (1994) Soochow J. Math , vol.20 , pp. 569-586
    • Chen, B.Y.1
  • 6
    • 33746711509 scopus 로고
    • A Riemannian invariant and its applications to submanifold theory
    • B. Y. Chen. A Riemannian invariant and its applications to submanifold theory. Results in Math. 27 (1995), 17-26.
    • (1995) Results in Math. , vol.27 , pp. 17-26
    • Chen, B.Y.1
  • 7
    • 21344432146 scopus 로고    scopus 로고
    • Jacobi's elliptic functions and Lagrangian immersions
    • B. Y. Chen. Jacobi's elliptic functions and Lagrangian immersions. Proc. Royal Soc. Edinburgh Ser. A 126 (1996), 687-704.
    • (1996) Proc. Royal Soc. Edinburgh Ser. A , vol.126 , pp. 687-704
    • Chen, B.Y.1
  • 8
    • 0010117946 scopus 로고
    • Two equivariant totally real immersions into the nearly Kahler 6-sphere and their characterization
    • B. Y. Chen, F. Dillen, L. Verstraelen and L. Vrancken. Two equivariant totally real immersions into the nearly Kahler 6-sphere and their characterization. Japan J. Math. 21 (1995), 207-222.
    • (1995) Japan J. Math. , vol.21 , pp. 207-222
    • Chen, B.Y.1    Dillen, F.2    Verstraelen, L.3    Vrancken, L.4
  • 9
    • 84972579783 scopus 로고
    • Characterization a class of totally real submanifolds of S6 by their sectional curvatures
    • B. Y. Chen, F. Dillen, L. Verstraelen and L. Vrancken. Characterization a class of totally real submanifolds of S6 by their sectional curvatures. Tohoku Math. J. 47 (1995), 185-198.
    • (1995) Tohoku Math. J. , vol.47 , pp. 185-198
    • Chen, B.Y.1    Dillen, F.2    Verstraelen, L.3    Vrancken, L.4
  • 10
    • 21344432288 scopus 로고    scopus 로고
    • Lagrangian submanifolds satisfying a basic equality
    • B. Y. Chen and L. Vrancken. Lagrangian submanifolds satisfying a basic equality. Math. Proc. Cambridge Phil. Soc. 120 (1996), 291-307.
    • (1996) Math. Proc. Cambridge Phil. Soc. , vol.120 , pp. 291-307
    • Chen, B.Y.1    Vrancken, L.2
  • 11
    • 0002269856 scopus 로고
    • Gauss parametrizations and rigidity aspects of submanifolds
    • M. Dajczer and D. Gromoll. Gauss parametrizations and rigidity aspects of submanifolds. J. Differential Geometry 22 (1985), 1-12.
    • (1985) J. Differential Geometry , vol.22 , pp. 1-12
    • Dajczer, M.1    Gromoll, D.2
  • 13
    • 0002962514 scopus 로고
    • Semi-parallelity, multi-rotation surfaces and the helix-property
    • F. Dillen and S. Nolker. Semi-parallelity, multi-rotation surfaces and the helix-property. J. Reine Angew. Math. 435 (1993), 33-63.
    • (1993) J. Reine Angew. Math. , vol.435 , pp. 33-63
    • Dillen, F.1    Nolker, S.2
  • 14
    • 0000893241 scopus 로고
    • Eine innere Kennzeichung der verzerrten Produkte
    • S. Hiepko. Eine innere Kennzeichung der verzerrten Produkte. Math. Ann. 241 (1979), 209-215.
    • (1979) Math. Ann. , vol.241 , pp. 209-215
    • Hiepko, S.1
  • 15
    • 0013255888 scopus 로고    scopus 로고
    • Einstein, conformally flat and semi- symmetric submanifolds satisfying Chen's equality
    • F. Dillen, M. Petrovic and L. Verstraelen. Einstein, conformally flat and semi- symmetric submanifolds satisfying Chen's equality. Israel J. Math. 100 (1997), 163-169.
    • (1997) Israel J. Math. , vol.100 , pp. 163-169
    • Dillen, F.1    Petrovic, M.2    Verstraelen, L.3
  • 16
    • 21344447708 scopus 로고    scopus 로고
    • Totally real submanifolds in S6(1) satisfying Chen's equality
    • F. Dillen and L. Vrancken. Totally real submanifolds in S6(1) satisfying Chen's equality. Trans. Amer. Math. Soc. 348 (1996), 1633-1646.
    • (1996) Trans. Amer. Math. Soc. , vol.348 , pp. 1633-1646
    • Dillen, F.1    Vrancken, L.2
  • 18
    • 84972500015 scopus 로고
    • On principal normal vector fields of submanifolds in a Riemannian manifold of constant curvature
    • T. Otsuki. On principal normal vector fields of submanifolds in a Riemannian manifold of constant curvature. J. Math. Soc. Japan 22 (1970), 35-46.
    • (1970) J. Math. Soc. Japan , vol.22 , pp. 35-46
    • Otsuki, T.1
  • 19
    • 85022896388 scopus 로고
    • Sur une application de la theorie des fonctions elliptiques
    • E. Picard. Sur une application de la theorie des fonctions elliptiques. C. R. Acad. Sc. Paris 89 (1879), 74-76.
    • (1879) C. R. Acad. Sc. Paris , vol.89 , pp. 74-76
    • Picard, E.1
  • 21
    • 33846440074 scopus 로고
    • Krummungsflachen von isometrischen Immersionen in Raume konstanter Krummung
    • H. Reckziegel. Krummungsflachen von isometrischen Immersionen in Raume konstanter Krummung. Math. Ann. 223 (1976), 169-181.
    • (1976) Math. Ann. , vol.223 , pp. 169-181
    • Reckziegel, H.1
  • 22
    • 0038865919 scopus 로고
    • On the eigenvalues of the shape operator of an isometric immersion into a space of constant curvature
    • H. Reckziegel. On the eigenvalues of the shape operator of an isometric immersion into a space of constant curvature. Math. Ann. 243 (1979), 71-82.
    • (1979) Math. Ann. , vol.243 , pp. 71-82
    • Reckziegel, H.1
  • 23
    • 84972571208 scopus 로고
    • Homogeneity and some curvature conditions for hypersurfaces
    • P. J. Ryan. Homogeneity and some curvature conditions for hypersurfaces. Tohoku Math. J. 21 (1969), 363-388.
    • (1969) Tohoku Math. J. , vol.21 , pp. 363-388
    • Ryan, P.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.