Vol. 201, No. 1, 2001

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

Huitao Feng and Enli Guo

Vol. 201 (2001), No. 1, 107–120
Abstract

In this paper we prove some Novikov-type inequalities for vector fields with non-isolated zero points, which generalize some results of Shubin, 1996. As a consequence, we obtain an analytic proof of Hopf index theorem for vector fields which are nondegenerate in the sense of Bott.

Milestones
Received: 12 December 1999
Revised: 3 May 2000
Published: 1 November 2001
Authors
Huitao Feng
Nankai Institute of Mathematics
Nankai University
Tianjin 300071
People’s Republic of China
Enli Guo
The College of Applied Mathematics and Physics
Beijing Polytechnic University
Beijing, 100000
People’s Republic of China