Premium
Connections between Size Functions and Critical Points
Author(s) -
Frosini Patrizio
Publication year - 1996
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(19960510)19:7<555::aid-mma787>3.0.co;2-x
Subject(s) - mathematics , statistical physics , pure mathematics , physics
A mathematical approach to the concept of shape of a submanifold ℳ of a Euclidean space had previously been given by means of ‘measuring functions’ (e.g. diameter or volume) and of the derived ‘size functions’. This paper relates the study and the computation of any such size function to the structure of critical points of the associated measuring function.