On the Group of Real Analytic Diffeomorphisms of a Compact Real Analytic Manifold
Open Access
- 1 December 1982
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 274 (2) , 651-669
- https://doi.org/10.2307/1999126
Abstract
In this paper we exhibit a Lie group structure on the group of real analytic diffeomorphisms of a compact real analytic manifold. Further, we show that a variant of the Kupka-Smale theorem holds for the underlying topology of the above mentioned Lie group.Keywords
This publication has 11 references indexed in Scilit:
- Theory of Functional Differential EquationsPublished by Springer Nature ,1977
- Generalized implicit function theorems with applications to some small divisor problems, ICommunications on Pure and Applied Mathematics, 1975
- Implicit Function Theorems and Isometric EmbeddingsAnnals of Mathematics, 1972
- Théorie des Bornologies et ApplicationsLecture Notes in Mathematics, 1971
- Stable manifolds and hyperbolic setsPublished by American Mathematical Society (AMS) ,1970
- Some Frobenius theorems in global analysisJournal of Differential Geometry, 1968
- On a differential structure for the group of diffeomorphismsTopology, 1967
- Differentiable dynamical systemsBulletin of the American Mathematical Society, 1967
- Denumerability Conditions in Locally Convex Vector SpacesProceedings of the American Mathematical Society, 1957
- Invariant Manifolds Near an Invariant Point of Unstable TypeAmerican Journal of Mathematics, 1938