arXiv Open Access 2007

Holder stability of diffeomorphisms

Jinpeng An

Lihat Sumber

Abstrak

We prove that a $C^2$ diffeomorphism $f$ of a compact manifold $M$ satisfies Axiom A and the strong transversality condition if and only if it is Hölder stable, that is, any $C^1$ diffeomorphism $g$ of $M$ sufficiently $C^1$ close to $f$ is conjugate to $f$ by a homeomorphism which is Hölder on the whole manifold.

Topik & Kata Kunci

math.DS

Penulis (1)

Jinpeng An

Format Sitasi

APA MLA BibTeX

An, J. (2007). Holder stability of diffeomorphisms. https://arxiv.org/abs/0708.4076

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2007
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓