Equivalence of real submanifolds under volume-preserving holomorphic automorphisms of $\mathbf{C}^n$
Franc Forstneric
Source: Duke Math. J. Volume 77, Number 2
(1995), 431-445.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077286348
Mathematical Reviews number (MathSciNet): MR1321065
Zentralblatt MATH identifier: 0831.32009
Digital Object Identifier: doi:10.1215/S0012-7094-95-07713-8
References
[1] R. Abraham and J. E. Marsden, Foundations of Mechanics, 2nd ed., Benjamin, Reading, 1978.
Mathematical Reviews (MathSciNet): MR81e:58025
Zentralblatt MATH: 0393.70001
[2] E. Andersén, Volume-preserving automorphisms of ${\bf C}\sp n$, Complex Variables Theory Appl. 14 (1990), no. 1-4, 223–235.
Mathematical Reviews (MathSciNet): MR91d:32047
Zentralblatt MATH: 0705.58008
[3] E. Andersén and L. Lempert, On the group of holomorphic automorphisms of ${\bf C}\sp n$, Invent. Math. 110 (1992), no. 2, 371–388.
Mathematical Reviews (MathSciNet): MR93i:32038
Zentralblatt MATH: 0770.32015
Digital Object Identifier: doi:10.1007/BF01231337
[4] R. Bott and W. L. Tu, Differential Forms in Algebraic Topology, Graduate Texts in Math., vol. 82, Springer-Verlag, New York, 1982.
Mathematical Reviews (MathSciNet): MR83i:57016
Zentralblatt MATH: 0496.55001
[5] F. Forstneric, Approximation by automorphisms on smooth submanifolds of $\mathbf{C} ^n$, to appear in Math. Ann.
Mathematical Reviews (MathSciNet): MR1314745
Zentralblatt MATH: 0821.32028
Digital Object Identifier: doi:10.1007/BF01450512
[6] F. Forstneric, Actions of $(\mathbf{R}, +)$ and $(\mathbf{C}, +)$ on complex manifolds, to appear in Math. Z.
Mathematical Reviews (MathSciNet): MR1408866
[7] F. Forstneric, A theorem in complex symplectic geometry, to appear in J. of Geom. Anal.
Mathematical Reviews (MathSciNet): MR1360826
Zentralblatt MATH: 0836.58015
[8] F. Forstneric and J.-P. Rosay, Approximation of biholomorphic mappings by automorphisms of ${\bf C}^n$, Invent. Math. 112 (1993), no. 2, 323–349.
Mathematical Reviews (MathSciNet): MR94f:32032
Zentralblatt MATH: 0792.32011
Digital Object Identifier: doi:10.1007/BF01232438
[9] H. Grauert and R. Remmert, Theory of Stein Spaces, Grundlehren Math. Wiss., vol. 236, Springer-Verlag, Berlin, 1979.
Mathematical Reviews (MathSciNet): MR82d:32001
Zentralblatt MATH: 0433.32007
[10] R. C. Gunning and H. Rossi, Analytic Functions of Several Complex Variables, Prentice Hall, Englewood Cliffs, 1965.
Mathematical Reviews (MathSciNet): MR31:4927
Zentralblatt MATH: 0141.08601
[11] L. Hörmander, An Introduction to Complex Analysis in Several Variables, 3rd ed., North-Holland Mathematical Library, vol. 7, North-Holland, Amsterdam, 1990.
Mathematical Reviews (MathSciNet): MR91a:32001
Zentralblatt MATH: 0685.32001
[12] R. M. Range and Y.-T. Siu, $C\sp{k}$ approximation by holomorphic functions and $\bar \partial$-closed forms on $C\sp{k}$ submanifolds of a complex manifold, Math. Ann. 210 (1974), 105–122.
Mathematical Reviews (MathSciNet): MR50:2561
Zentralblatt MATH: 0275.32008
Digital Object Identifier: doi:10.1007/BF01360034
[13] J.-P. Rosay, Straightening of arcs, Astérisque (1993), no. 217, 217–225, Colloque d'analyse complexe et géométrie, Marseille, 1992.
Mathematical Reviews (MathSciNet): MR94m:32021
Zentralblatt MATH: 0798.32015
[14] J.-P. Rosay and W. Rudin, Holomorphic maps from ${\bf C}\sp n$ to ${\bf C}\sp n$, Trans. Amer. Math. Soc. 310 (1988), no. 1, 47–86.
Mathematical Reviews (MathSciNet): MR89d:32058
Zentralblatt MATH: 0708.58003
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