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Volumn 7, Issue 1, 1997, Pages 51-58

Hamiltonian minimality and Hamiltonian stability of Gauss maps

Author keywords

Gauss map; Lagrangian submanifold; Minimal hypersurface

Indexed keywords


EID: 0031093177     PISSN: 09262245     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0926-2245(96)00035-6     Document Type: Article
Times cited : (32)

References (12)
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    • Chen, B.Y.1    Morvan, J.M.2
  • 3
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    • The lagrangian gauss image of a surface in Euclidean 3-space
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    • Kossowski, M.1
  • 4
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    • Comparison surfaces for the Willmore problem
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    • (1989) Pacific J. Math. , vol.138 , pp. 317-345
    • Kusner, R.1
  • 5
    • 0000712236 scopus 로고
    • Zur Riemannschen geometric in Grassmannschen manigfaltigkeiten
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    • (1961) Math. Zeit. , vol.76 , pp. 334-366
    • Leichtweiss, K.1
  • 7
    • 0000571272 scopus 로고
    • Second variation and stability of minimal lagrangian submanifolds
    • [7] Y.G. Oh, Second variation and stability of minimal Lagrangian submanifolds, Invent. Math. 101 (1990) 501-519.
    • (1990) Invent. Math. , vol.101 , pp. 501-519
    • Oh, Y.G.1
  • 8
    • 51249167735 scopus 로고
    • Volume minimization of Lagrangian submanifolds under Hamiltonian deformations
    • [8] Y.G. Oh, Volume minimization of Lagrangian submanifolds under Hamiltonian deformations, Math. Zeit. 212 (1993) 175-192.
    • (1993) Math. Zeit. , vol.212 , pp. 175-192
    • Oh, Y.G.1
  • 9
    • 0003288058 scopus 로고
    • Critical point theory and submanifold geometry
    • Springer, Berlin
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    • (1980) Lecture Notes in Math. , vol.1353
    • Palais, R.1    Terng, C.L.2
  • 10
    • 0010945922 scopus 로고
    • Buckling eigenvalues, gauss maps and lagrangian susbmanifolds
    • [10] B. Palmer, Buckling eigenvalues, Gauss maps and Lagrangian susbmanifolds, Diff. Geom. Appl. 4 (1994) 391-403.
    • (1994) Diff. Geom. Appl. , vol.4 , pp. 391-403
    • Palmer, B.1
  • 11
    • 85033074527 scopus 로고    scopus 로고
    • Buckling eigenvalues and variational problems for surfaces in the three sphere
    • World Scientific Press, to appear
    • [11] B. Palmer, Buckling eigenvalues and variational problems for surfaces in the three sphere. Geometry and Topology of Submanifolds VI (World Scientific Press), to appear.
    • Geometry and Topology of Submanifolds , vol.6
    • Palmer, B.1
  • 12
    • 0000504799 scopus 로고
    • Regular homotopy classes of immersed surfaces
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    • Pinkall, U.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.