𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Duality and the Poincaré–Hopf Inequalities

✍ Scribed by M. A. Bertolim; C. Biasi; K. A. de Rezende


Publisher
Springer US
Year
2011
Tongue
English
Weight
248 KB
Volume
177
Category
Article
ISSN
1573-8795

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Poincaré duality and Serre fibrations
✍ N.B. Brodskij; E.V. Shchepin 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 484 KB

We prove that a proper map f : n/r-+ N" between manifolds is a Serre fibration if it has the homotopy lifting property for (m ~ n)-dimensional polyhedra, where n is close to m/2. o 1997 Elsevier Science B.V.

Martingales, Poincaré Type Inequalities,
✍ Michael Schmuckenschläger 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 354 KB

Using martingale techniques we will prove several deviation inequalities for diffusion processes in a compact Riemannian manifold and Le vy processes in euclidean space. We also deduce deviation inequalities from Poincare type inequalities in the abstract setting of Dirichlet forms. We thus obtain,

Bounding Poincaré-Hopf indices and Milno
✍ Marcio G. Soares 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 152 KB

## Abstract We use Mather's finite determinacy theory and Baum‐Bott's theorem to give sharp bounds for the Poincaré‐Hopf index of a germ of homolorphic vector field with an isolated zero. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)