Upper and lower Hausdorff dimension estimates for invariant sets of weak k-1-endomorphisms

✍ Scribed by Chengqin Qu; Zuoling Zhou

• Publisher: John Wiley and Sons
• Year: 2004
• Tongue: English
• Weight: 111 KB
• Volume: 268
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.200310161

✦ Synopsis

Abstract

For a special class of non‐injective maps called the weak k‐1‐endomorphisms on Riemannian manifolds upper and lower bounds for Hausdorff dimensions of invariant sets are given in terms of the singular values of the tangent maps, which generalize Franz's corresponding results. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)