Duke Mathematical Journal

Finite energy surfaces and the chord problem

C. Abbas
Source: Duke Math. J. Volume 96, Number 2 (1999), 241-316.
First Page: Show Hide
Primary Subjects: 53D10
Secondary Subjects: 35B99, 35J60, 37J05, 53D35
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077229135
Mathematical Reviews number (MathSciNet): MR1666550
Zentralblatt MATH identifier: 0953.53049
Digital Object Identifier: doi:10.1215/S0012-7094-99-09608-4

References

[1] C. Abbas and H. Hofer, Holomorphic Curves and Global Questions in Contact Geometry, to appear in Progr. Math.
Mathematical Reviews (MathSciNet): MR1702942
Zentralblatt MATH: 1004.53062
[2] V. I. Arnold, First steps in symplectic topology, Russian Math. Surveys 41 (1986), 1–21.
Zentralblatt MATH: 0649.58010
Mathematical Reviews (MathSciNet): MR890489
[3] David Gilbarg and Neil S. Trudinger, Elliptic partial differential equations of second order, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 224, Springer-Verlag, Berlin, 1983, 2d ed.
Mathematical Reviews (MathSciNet): MR86c:35035
Zentralblatt MATH: 0562.35001
[4] M. Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82 (1985), no. 2, 307–347.
Mathematical Reviews (MathSciNet): MR87j:53053
Zentralblatt MATH: 0592.53025
Digital Object Identifier: doi:10.1007/BF01388806
[5] H. Hofer, Lusternik-Schnirelman-theory for Lagrangian intersections, Ann. Inst. H. Poincaré Anal. Non Linéaire 5 (1988), no. 5, 465–499.
Mathematical Reviews (MathSciNet): MR91b:58068
Zentralblatt MATH: 0669.58006
[6] H. Hofer, Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three, Invent. Math. 114 (1993), no. 3, 515–563.
Mathematical Reviews (MathSciNet): MR94j:58064
Zentralblatt MATH: 0797.58023
Digital Object Identifier: doi:10.1007/BF01232679
[7] H. Hofer, K. Wysocki, and E. Zehnder, Properties of pseudoholomorphic curves in symplectisations. I. Asymptotics, Ann. Inst. H. Poincaré Anal. Non Linéaire 13 (1996), no. 3, 337–379.
Mathematical Reviews (MathSciNet): MR97e:58029
Zentralblatt MATH: 0861.58018
[8] H. Hofer, K. Wysocki, and E. Zehnder, Properties of pseudoholomorphic curves in symplectisation. IV. Asymptotics with degeneracies, Contact and symplectic geometry (Cambridge, 1994) ed. C. B. Thomas, Publ. Newton Inst., vol. 8, Cambridge Univ. Press, Cambridge, 1996, pp. 78–117.
Mathematical Reviews (MathSciNet): MR98e:58030
Zentralblatt MATH: 0868.53043
[9] H. Hofer, K. Wysocki, and E. Zehnder, The dynamics on a strictly convex energy surface in $\mathbfR^4$, preprint.
Mathematical Reviews (MathSciNet): MR2341834
Zentralblatt MATH: 1149.53053
Digital Object Identifier: doi:10.4171/JEMS/99
[10] Helmut Hofer and Eduard Zehnder, Symplectic invariants and Hamiltonian dynamics, Birkhäuser Advanced Texts: Basler Lehrbücher. [Birkhäuser Advanced Texts: Basel Textbooks], Birkhäuser Verlag, Basel, 1994.
Mathematical Reviews (MathSciNet): MR96g:58001
Zentralblatt MATH: 0805.58003
[11] Tosio Kato, Perturbation theory for linear operators, Springer-Verlag, Berlin, 1976, Grundlehren Math. Wiss. 132, 2d ed.
Mathematical Reviews (MathSciNet): MR53:11389
Zentralblatt MATH: 0342.47009
[12] Cora Sadosky, Interpolation of operators and singular integrals, Monographs and Textbooks in Pure and Applied Math., vol. 53, Marcel Dekker Inc., New York, 1979.
Mathematical Reviews (MathSciNet): MR81d:42001
Zentralblatt MATH: 0422.42013
[13] Elias M. Stein, Singular integrals and differentiability properties of functions, Princeton Mathematical Series, No. 30, Princeton University Press, Princeton, N.J., 1970.
Mathematical Reviews (MathSciNet): MR44:7280
Zentralblatt MATH: 0207.13501

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