메뉴 건너뛰기




Volumn 43, Issue 3, 2000, Pages 587-603

Some examples of critical points for the total mean curvature functional

Author keywords

Critical points; Total curvature; Total tension

Indexed keywords


EID: 0041314656     PISSN: 00130915     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0013091500021210     Document Type: Conference Paper
Times cited : (24)

References (16)
  • 2
    • 85011497672 scopus 로고
    • Free elasticae and Willmore tori in warped product spaces
    • M. BARROS, Free elasticae and Willmore tori in warped product spaces, Glasgow Math J. 40 (1988), 263-270.
    • (1988) Glasgow Math J. , vol.40 , pp. 263-270
    • Barros, M.1
  • 3
    • 84972513577 scopus 로고
    • Stationary 2-type surfaces in a hypersphere
    • M. BARROS AND B. Y. CHEN, Stationary 2-type surfaces in a hypersphere, J. Math. Soc. Japan 39 (1987), 627-648.
    • (1987) J. Math. Soc. Japan , vol.39 , pp. 627-648
    • Barros, M.1    Chen, B.Y.2
  • 4
    • 0032081092 scopus 로고    scopus 로고
    • 7 which are Willmore-Chen submanifolds
    • M. BARROS AND O. J. GARAY, Hopf submanifolds in S7 which are Willmore-Chen submanifolds, Math. Z. 228 (1998), 121-129. (Pubitemid 128336464)
    • (1998) Mathematische Zeitschrift , vol.228 , Issue.1 , pp. 121-129
    • Barros, M.1    Garay, O.J.2
  • 5
    • 0040964900 scopus 로고    scopus 로고
    • Lawson's type problems in non-standard 3-spheres
    • M. BARROS, A. FERRANDEZ AND P. LUCAS, Lawson's type problems in non-standard 3-spheres, Q. J. Math. Oxford 50 (1999), 385-388.
    • (1999) Q. J. Math. Oxford , vol.50 , pp. 385-388
    • Barros, M.1    Ferrandez, A.2    Lucas, P.3
  • 6
    • 0033445211 scopus 로고    scopus 로고
    • Elasticae with constant slant in CP2(4) and new examples of Willmore tori in S5
    • M. BARROS, O. J. GARAY AND D. SINGER, Elasticae with constant slant in CP2(4) and new examples of Willmore tori in S5, Tohoku Math. J. 51 (1999), 177-192.
    • (1999) Tohoku Math.J. , vol.51 , pp. 177-192
    • Barros, M.1    Garay, O.J.2    Singer, D.3
  • 10
    • 84972513572 scopus 로고
    • Reduction of codimension of an isometric immersion
    • J. ERBACHER, Reduction of codimension of an isometric immersion, J. Diff. Geom. 5 (1971), 333-340.
    • (1971) J. Diff. Geom. , vol.5 , pp. 333-340
    • Erbacher, J.1
  • 12
    • 84972507666 scopus 로고
    • The total squared curvature of closed curves
    • J. LANGER AND D. A. SINGER, The total squared curvature of closed curves, J. Diff. Geom. 20 (1984), 1-22.
    • (1984) J. Diff. Geom. , vol.20 , pp. 1-22
    • Langer, J.1    Singer, D.A.2
  • 13
    • 0001080086 scopus 로고
    • Critical point theory and the minimax principle
    • R. S. PALAIS, Critical point theory and the minimax principle, Global Analysis, Proc. Symp. Pure Math. 15 (1970), 185-212.
    • (1970) Global Analysis, Proc. Symp. Pure Math. , vol.15 , pp. 185-212
    • Palais, R.S.1
  • 14
  • 15
    • 0002460686 scopus 로고
    • Minimal varieties in Riemannian manifolds
    • J. SIMONS, Minimal varieties in Riemannian manifolds, Ann. Math. 88 (1968), 62-105.
    • (1968) Ann. Math. , vol.88 , pp. 62-105
    • Simons, J.1
  • 16
    • 0002275656 scopus 로고
    • On a problem of Chen
    • Willmore, et al.
    • J. L. WEINER, On a problem of Chen, Willmore, et al., Indiana Univ. Math. J. 27 (1978), 19-35.
    • (1978) Indiana Univ. Math.J. , vol.27 , pp. 19-35
    • Weiner, J.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.