Novikov-type inequalities for vector fields with non-isolated zero points

Authors
Citation
Ht. Feng et El. Guo, Novikov-type inequalities for vector fields with non-isolated zero points, PAC J MATH, 201(1), 2001, pp. 107-120
Citations number
8
Categorie Soggetti
Mathematics
Journal title
PACIFIC JOURNAL OF MATHEMATICS
ISSN journal
00308730 → ACNP
Volume
201
Issue
1
Year of publication
2001
Pages
107 - 120
Database
ISI
SICI code
0030-8730(200111)201:1<107:NIFVFW>2.0.ZU;2-3
Abstract
In this paper we prove some Novikov-type inequalities for vector fields wit h non-isolated zero points, which generalize some results of Shubin, 1996. As a consequence, we obtain an analytic proof of Hopf index theorem for vec tor fields which are nondegenerate in the sense of Bott.