Divergence of the normalization for real Lagrangian surfaces near complex tangents.
Xianghong Gong
Source: Pacific J. Math. Volume 176, Number 2 (1996), 311-324.
Primary Subjects: 32F25
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102104965
Zentralblatt MATH identifier:
0879.32008
Mathematical Reviews number (MathSciNet):
MR1434993
References
[1] E. Bishop, Differentiablemanifolds in complexEuclidean space, Duke Math. J., 32 (1965), 1-22.
Mathematical Reviews (MathSciNet):
MR34:369
Zentralblatt MATH:
0154.08501
[2] A.D. Bruno, Analytic form of differential equations,Trans. Moscow Math. Soc, 25 (1971), 131-288; 26 (1972), 199-239.
Mathematical Reviews (MathSciNet):
MR51:13365
Zentralblatt MATH:
0263.34003
[3] H. Dulac, Recherches sur les points singuliers des equations differentielles, J. de Lcole Poly., 2(9) (1904), 1-125.
Zentralblatt MATH:
35.0331.02
[4] X. Gong, Real Analytic submanifolds under unimodular transformations, Thesis, University of Chicago, August, 1994.
Mathematical Reviews (MathSciNet):
MR95c:32015
Zentralblatt MATH:
0821.32012
[5] X. Gong, Divergence for the normalization of real analytic glancing hypersurfaces, Commun. in Partial Diff. Equations, nos. 3&4, 19 (1994), 643-654.
Mathematical Reviews (MathSciNet):
MR95f:58079
Zentralblatt MATH:
0804.53080
[6] M.R. Herman,Recent results and some openquestions on Siegel's linearization theo- rem of germs of complexanalytic diffeomorphisms of C1 near a fixed point,VI-th Inter. Congress on Math. Physics (Marseille, 1986), 138-184, World Sci. Publ., Singapore, 1987.
Mathematical Reviews (MathSciNet):
MR89k:32013
[7] J.K. Moser and S.M. Webster, Normal forms for real surfaces in C2 nearcomplex tangents and hyperbolic surface transformations, Acta Math., 150 (1983), 255-296.
Mathematical Reviews (MathSciNet):
MR85c:32034
[8] C.L. Siegel, On integralsof canonical systems, Ann. Math., 42 (1941), 806-822.
Mathematical Reviews (MathSciNet):
MR3:214a
Zentralblatt MATH:
0025.26503
[9] C.L. Siegel, Uber die Existenz einer Normalform analytischer HAMILTONscherDiffer- entialgleichungen in der Nhe einer Gleichgewichtslsung, Math. Ann., 128 (1954), 144-170.
Mathematical Reviews (MathSciNet):
MR16:704c
Zentralblatt MATH:
0057.32002
[10] S.M. Webster, Holomorphic symplecticnormalization of a real function, Ann. Scuola Norm. Sup. di Pisa, 19 (1992), 69-86.
Mathematical Reviews (MathSciNet):
MR94d:32024
Zentralblatt MATH:
0763.58010
Pacific Journal of Mathematics
