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Volumn 11, Issue 3, 2003, Pages 425-439

Minimal spheres of arbitrarily high Morse index

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EID: 4043092706     PISSN: 10198385     EISSN: None     Source Type: Journal    
DOI: 10.4310/CAG.2003.v11.n3.a2     Document Type: Article
Times cited : (9)

References (8)
  • 1
    • 0000755701 scopus 로고
    • The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature
    • Choi, H. and Schoen, R. The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature. Inv. Math. 81 (1985), 387-394.
    • (1985) Inv. Math. , vol.81 , pp. 387-394
    • Choi, H.1    Schoen, R.2
  • 3
    • 0002491868 scopus 로고    scopus 로고
    • Examples of embedded minimal tori without area bounds
    • Colding, T. and Minicozzi, W. Examples of embedded minimal tori without area bounds, Internat. Math. Res. Notices 20 (1999), 1097-1100.
    • (1999) Internat. Math. Res. Notices , vol.20 , pp. 1097-1100
    • Colding, T.1    Minicozzi, W.2
  • 5
    • 84972541056 scopus 로고
    • Minimal submanifolds of low cohomogeneity
    • Hsiang, W. and Lawson, H.B. Minimal submanifolds of low cohomogeneity, J. Diff. Geom. 5 (1971), 1-38.
    • (1971) J. Diff. Geom. , vol.5 , pp. 1-38
    • Hsiang, W.1    Lawson, H.B.2
  • 6
    • 0003252211 scopus 로고
    • Morse theory
    • Princeton, N.J., Princeton University Press
    • Milnor, J. Morse Theory, Annals of Mathematics Studies 51. Princeton, N.J., Princeton University Press (1963).
    • (1963) Annals of Mathematics Studies , vol.51
    • Milnor, J.1
  • 7
    • 0010600438 scopus 로고
    • Applications of minimax to minimal surfaces and the topology of 3-manifolds
    • Miniconference on geometry and partial differential equations, 2 (Canberra, 1986)
    • Pitts, J.T. and Rubinstein, J.H. Applications of minimax to minimal surfaces and the topology of 3-manifolds, Miniconference on geometry and partial differential equations, 2 (Canberra, 1986), Proc. Centre Math. Anal. ANU, 12 (1987), 137-170.
    • (1987) Proc. Centre Math. Anal. ANU , vol.12 , pp. 137-170
    • Pitts, J.T.1    Rubinstein, J.H.2
  • 8
    • 0002460686 scopus 로고
    • Minimal varieties in Riemannian manifolds
    • Simons, J. Minimal varieties in Riemannian manifolds, Ann. Math. (2) 88 (1968), 62-105.
    • (1968) Ann. Math. (2) , vol.88 , pp. 62-105
    • Simons, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.