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

作者：Qu, CQ^*; Zhou, ZL

来源：Mathematische Nachrichten, 2004, 268: 96-101.

DOI：10.1002/mana.200310161

• Hausdorff dimension
• non-injective maps
• Riemannian manifold

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.

• 出版日期2004
• 单位中山大学