The real-analytic solutions of the Abel functional equation
G. Belitskii, Yu. Lyubich (1999)
Studia Mathematica
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For the Abel equation on a real-analytic manifold a dynamical criterion of solvability in real-analytic functions is proved.
Displaying similar documents to “Tangencies for real and complex Hénon maps: An analytic method.”
The real-analytic solutions of the Abel functional equation
The Lie group of real analytic diffeomorphisms is not real analytic
Rafael Dahmen, Alexander Schmeding (2015)
Studia Mathematica
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We construct an infinite-dimensional real analytic manifold structure on the space of real analytic mappings from a compact manifold to a locally convex manifold. Here a map is defined to be real analytic if it extends to a holomorphic map on some neighbourhood of the complexification of its domain. As is well known, the construction turns the group of real analytic diffeomorphisms into a smooth locally convex Lie group. We prove that this group is regular in the sense...
K-analytic versus ccm-analytic sets in nonstandard compact complex manifolds
Rahim Moosa, Sergei Starchenko (2008)
Fundamenta Mathematicae
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It is shown that in an elementary extension of a compact complex manifold M, the K-analytic sets (where K is the algebraic closure of the underlying real closed field) agree with the ccm-analytic sets if and only if M is essentially saturated. In particular, this is the case for compact Kähler manifolds.
On Flat Families and Complete Families of Analytic Spaces onto Complex Manifold.
S., Kanai, S. Ozaki, E. Yoshinaga (1970)
Mathematische Zeitschrift
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Section spaces of real analytic vector bundles and a theorem of Grothendieck and Poly
Dietmar Vogt (2010)
Banach Center Publications
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The structure of the section space of a real analytic vector bundle on a real analytic manifold X is studied. This is used to improve a result of Grothendieck and Poly on the zero spaces of elliptic operators and to extend a result of Domański and the author on the non-existence of bases to the present case.
An embedding theorem for real analytic spaces
F. Acquistapace, F. Broglia, A. Tognoli (1979)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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-transitivity of certain diffeomorphism groups.
Michor, P.W., Vizman, C. (1994)
Acta Mathematica Universitatis Comenianae. New Series
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Embeddability of real analytic Cauchy-Riemann manifolds
Aldo Andreotti, Gregory A. Fredricks (1979)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Presentations of the fundamental group of a manifold
B. Hajduk (1976)
Colloquium Mathematicae
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Tri-analytic Subvarieties of Hyperkähler Manifolds.
M. Verbitsky (1995)
Geometric and functional analysis
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Bicollared n-manifold in Euclidean space
P. H. Doyle (1974)
Colloquium Mathematicae
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The C 1 generic diffeomorphism has trivial centralizer
Christian Bonatti, Sylvain Crovisier, Amie Wilkinson (2009)
Publications Mathématiques de l'IHÉS
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Answering a question of Smale, we prove that the space of C 1 diffeomorphisms of a compact manifold contains a residual subset of diffeomorphisms whose centralizers are trivial.