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Volumn 13, Issue 1, 2000, Pages 43-75

Differential geometry of Grassmannian embeddings of based loop groups

Author keywords

Based loop groups; Infinite dimensional differential geometry; Regularized ricci curvature; Restricted Grassmannian; Submanifold geometry

Indexed keywords


EID: 0034215751     PISSN: 09262245     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0926-2245(00)00020-6     Document Type: Article
Times cited : (7)

References (18)
  • 4
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    • (1988) J. Differential Geom. , vol.28 , pp. 223-276
    • Freed, D.1
  • 6
    • 84966236065 scopus 로고
    • The inverse function theorem of Nash and Moser
    • [6] R.S. Hamilton, The inverse function theorem of Nash and Moser, Bull. Amer. Math. Soc. (N.S.) 7 (1982) 65-222.
    • (1982) Bull. Amer. Math. Soc. (N.S.) , vol.7 , pp. 65-222
    • Hamilton, R.S.1
  • 7
    • 84972541056 scopus 로고
    • Minimal submanifolds of low cohomogeneity
    • [7] W. Hsiang and H.B. Lawson, Minimal submanifolds of low cohomogeneity, J. Differential Geom. 5 (1971) 1-38.
    • (1971) J. Differential Geom. , vol.5 , pp. 1-38
    • Hsiang, W.1    Lawson, H.B.2
  • 11
    • 0002148428 scopus 로고
    • (Second edition) Publish or Perish, Wilmington
    • [11] H.B. Lawson, Lectures on Minimal Submanifolds, Vol. I (Second edition) (Publish or Perish, Wilmington, 1980).
    • (1980) Lectures on Minimal Submanifolds , vol.1
    • Lawson, H.B.1
  • 13
    • 0001335921 scopus 로고
    • Remarks on infinite-dimensional Lie groups
    • B.S. DeWitt and R. Stora, eds., North-Holland, Amsterdam
    • [13] J. Milnor, Remarks on infinite-dimensional Lie groups, in: B.S. DeWitt and R. Stora, eds., Relativity, Groups and Topology II (Les Houches 1983) (North-Holland, Amsterdam, 1984) 1007-1057.
    • (1984) Relativity, Groups and Topology II (Les Houches 1983) , pp. 1007-1057
    • Milnor, J.1
  • 14
    • 0003863511 scopus 로고
    • Oxford University Press, Oxford
    • [14] A. Pressley and G. Segal, Loop Groups (Oxford University Press, Oxford, 1986).
    • (1986) Loop Groups
    • Pressley, A.1    Segal, G.2
  • 16
    • 77956939137 scopus 로고
    • Soliton equations as dynamical systems on infinite dimensional Grassmann manifold
    • P.D. Lax, H. Fujita and G. Strang, eds., North-Holland, Amsterdam
    • [16] M. Sato and Y. Sato, Soliton equations as dynamical systems on infinite dimensional Grassmann manifold, in: P.D. Lax, H. Fujita and G. Strang, eds., Nonlinear Partial Differential Equations in Applied Science (Tokyo, 1982) (North-Holland, Amsterdam, 1983) 259-271.
    • (1983) Nonlinear Partial Differential Equations in Applied Science (Tokyo, 1982) , pp. 259-271
    • Sato, M.1    Sato, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.