메뉴 건너뛰기




Volumn 7, Issue 2, 1997, Pages 305-327

On the structure of pseudo-holomorphic discs with totally real boundary conditions

Author keywords

Multiplicity function; Nomalized discs; Pseudo holomorphic discs; The Blaschke product; Totally real submanifolds

Indexed keywords


EID: 0009949104     PISSN: 10506926     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02921725     Document Type: Article
Times cited : (26)

References (20)
  • 1
    • 0001104071 scopus 로고
    • A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order
    • Aronszajin, N. A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order. J. Math. Pure Appl. 36(9), 232-249 (1957).
    • (1957) J. Math. Pure Appl. , vol.36 , Issue.9 , pp. 232-249
    • Aronszajin, N.1
  • 2
    • 84956073847 scopus 로고
    • Regularity of the boundaries of analytic sets
    • Chirka, E. M. Regularity of the boundaries of analytic sets. Math. USSR Sbornik 45 291-335 (1983).
    • (1983) Math. USSR Sbornik , vol.45 , pp. 291-335
    • Chirka, E.M.1
  • 3
    • 84990602491 scopus 로고
    • The unregularized gradient flow of the symplectic action
    • Floer, A. The unregularized gradient flow of the symplectic action. Comm. Pure Appl. Math. 41, 774-813 (1988).
    • (1988) Comm. Pure Appl. Math. , vol.41 , pp. 774-813
    • Floer, A.1
  • 4
    • 84973998290 scopus 로고
    • Transversality in elliptic Morse theory for the symplectic action
    • Floer, A., Hofer, H., and Salamon, D. Transversality in elliptic Morse theory for the symplectic action. Duke Math. J. 80, 251-292 (1995).
    • (1995) Duke Math. J. , vol.80 , pp. 251-292
    • Floer, A.1    Hofer, H.2    Salamon, D.3
  • 5
    • 0040804374 scopus 로고
    • Pseudo-holomorphic curves in symplectic manifolds
    • Gromov, M. Pseudo-holomorphic curves in symplectic manifolds. Invent. Math. 81, 307-347 (1985).
    • (1985) Invent. Math. , vol.81 , pp. 307-347
    • Gromov, M.1
  • 6
    • 0040468608 scopus 로고
    • Analytic discs with rectifiable simple closed curves as ends
    • Globevnik, J., and Stout, E. Analytic discs with rectifiable simple closed curves as ends. Ann. Math. 127, 380-401 (1988).
    • (1988) Ann. Math. , vol.127 , pp. 380-401
    • Globevnik, J.1    Stout, E.2
  • 7
    • 0001093993 scopus 로고
    • First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems
    • Hofer, H., and Wysocki, K. First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems. Math. Ann. 288, 483-503 (1990).
    • (1990) Math. Ann. , vol.288 , pp. 483-503
    • Hofer, H.1    Wysocki, K.2
  • 9
    • 21144465371 scopus 로고
    • Hamiltonian collapsing of irrational Lagrangian submanifolds with small first Betti-number
    • Lalonde, F. Hamiltonian collapsing of irrational Lagrangian submanifolds with small first Betti-number. Commun. Math. Phys. 149, 613-622 (1992).
    • (1992) Commun. Math. Phys. , vol.149 , pp. 613-622
    • Lalonde, F.1
  • 10
    • 0002288312 scopus 로고
    • Examples of symplectic structures
    • McDuff, D. Examples of symplectic structures. Invent. Math. 89, 13-36 (1987).
    • (1987) Invent. Math. , vol.89 , pp. 13-36
    • McDuff, D.1
  • 11
    • 84972530304 scopus 로고
    • The local behavior of holomorphic curves in almost complex 4-manifolds
    • McDuff, D. The local behavior of holomorphic curves in almost complex 4-manifolds. J. Diff. Geom. 34, 143-164 (1991).
    • (1991) J. Diff. Geom. , vol.34 , pp. 143-164
    • McDuff, D.1
  • 12
    • 0000101941 scopus 로고
    • Singularities of J-holomorphic curves in almost complex 4-manifolds
    • McDuff, D. Singularities of J-holomorphic curves in almost complex 4-manifolds. J. Geom. Anal. 2, 249-266 (1992).
    • (1992) J. Geom. Anal. , vol.2 , pp. 249-266
    • McDuff, D.1
  • 13
    • 84990553228 scopus 로고
    • Removal of boundary singularities of pseudo-holomorphic curves with Lagrangian boundary conditions
    • Oh, Y.-G. Removal of boundary singularities of pseudo-holomorphic curves with Lagrangian boundary conditions. Comm. Pure Appl. Math. 45, 121-139 (1992).
    • (1992) Comm. Pure Appl. Math. , vol.45 , pp. 121-139
    • Oh, Y.-G.1
  • 14
    • 84990556188 scopus 로고
    • Floer cohomology of Lagrangian intersections and pseudo-holomorphic discs, I
    • Oh, Y.-G. Floer cohomology of Lagrangian intersections and pseudo-holomorphic discs, I. Comm. Pure Appl. Math. 46, 949-994 (1993).
    • (1993) Comm. Pure Appl. Math. , vol.46 , pp. 949-994
    • Oh, Y.-G.1
  • 15
    • 0010678977 scopus 로고    scopus 로고
    • Fredholm theory of holomorphic discs under the perturbation of boundary conditions
    • Oh, Y.-G. Fredholm theory of holomorphic discs under the perturbation of boundary conditions. Math. Z. 222 (1996), 505-520.
    • (1996) Math. Z. , vol.222 , pp. 505-520
    • Oh, Y.-G.1
  • 16
    • 84966249095 scopus 로고
    • The Maslov class of Lagrange surface and Gromov's pseudo-holomorphic curves
    • Polterovich, L. The Maslov class of Lagrange surface and Gromov's pseudo-holomorphic curves. Trans. A.M.S. 325, 241-248 (1991).
    • (1991) Trans. A.M.S. , vol.325 , pp. 241-248
    • Polterovich, L.1
  • 17
    • 0002791438 scopus 로고
    • Pseudo-holomorphic maps and bubble trees
    • Parker, H., and Wolfson, J. Pseudo-holomorphic maps and bubble trees. J. Geom. Anal. 3, 63-97 (1993).
    • (1993) J. Geom. Anal. , vol.3 , pp. 63-97
    • Parker, H.1    Wolfson, J.2
  • 19
    • 51249191350 scopus 로고
    • Bounded extensions: The case of discs in polydiscs
    • Stout, E., Bounded extensions: The case of discs in polydiscs. J. Analyse Math. 10, 239-254 (1975).
    • (1975) J. Analyse Math. , vol.10 , pp. 239-254
    • Stout, E.1
  • 20
    • 84966221074 scopus 로고
    • Gromov's compactness theorem for pseudo-holomorphic curves
    • Ye, R. Gromov's compactness theorem for pseudo-holomorphic curves. Trans. Amer. Math. Soc. 342(2), 671-694 (1994).
    • (1994) Trans. Amer. Math. Soc. , vol.342 , Issue.2 , pp. 671-694
    • Ye, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.