Quasi-parabolic analytic transformations of Cn. Parabolic manifolds

Feng Rong

doi:10.1007/s11512-009-0107-3

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Home > Journals > Ark. Mat. > Volume 48 > Issue 2 > Article

October 2010 Quasi-parabolic analytic transformations of Cⁿ. Parabolic manifolds

Feng Rong

Author Affiliations +

Feng Rong¹
¹Department of Mathematics, Syracuse University

Ark. Mat. 48(2): 361-370 (October 2010). DOI: 10.1007/s11512-009-0107-3

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Abstract

In [Rong, F., Quasi-parabolic analytic transformations of Cⁿ, J. Math. Anal. Appl. 343 (2008), 99–109], we showed the existence of “parabolic curves” for certain quasi-parabolic analytic transformations of Cⁿ. Under some extra assumptions, we show the existence of “parabolic manifolds” for such transformations.

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Feng Rong. "Quasi-parabolic analytic transformations of Cⁿ. Parabolic manifolds." Ark. Mat. 48 (2) 361 - 370, October 2010. https://doi.org/10.1007/s11512-009-0107-3