Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899200 | Journal of Mathematical Analysis and Applications | 2018 | 7 Pages |
Abstract
Let f:MmâNn be a smooth map between two differential manifolds with N connected, f(M) closed and f(M)â N. In this short note, we show that either all the points of M are critical points of f or the dimension the collection of all critical points of f is not less than nâ1. Some consequences of this result for surjectivity of mappings are also presented.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yongjie Shi, Chengjie Yu,