A note on the linearity of real-valued functions with respect to suitable metrics

被引：2
|
作者：
Frosini, P
机构：
[1] Univ Bologna, Dipartmento Matemat, I-40126 Bologna, Italy
[2] Univ Bologna, Adv Res Ctr Elect Syst Ercole De Castro, I-40135 Bologna, Italy
来源：
GEOMETRIAE DEDICATA | 2004年 / 108卷 / 01期
关键词：
linear function; Riemannian metric;
D O I：
10.1007/s10711-004-8119-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we prove that for every real-valued Morse function phi on a smooth closed manifold M and every neighborhood U of its critical points a suitable Riemannian metric mu(U) exists such that phi is linear outside U.
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页码：105 / 110
页数：6
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