Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

The Lie group of real analytic diffeomorphisms is not real analytic

100%

Dahmen R., Schmeding A.

Studia Mathematica

2015

tom 229

nr 2

141-172

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 of Milnor. In the inequivalent "convenient setting of calculus" the real analytic diffeomorphisms even form a real analytic Lie group. However, we prove that the Lie group structure on the group of real analytic diffeomorphisms is in general not real analytic in our sense.

Ograniczanie wyników

1 Studia Mathematica

1 Dahmen R.

1 Schmeding A.

1 2015

Wyniki wyszukiwania

The Lie group of real analytic diffeomorphisms is not real analytic