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Connections between Size Functions and Critical Points

✍ Scribed by Patrizio Frosini

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
975 KB
Volume
19
Category
Article
ISSN
0170-4214

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✦ Synopsis

Communicated by B. Brosowski

A mathematical approach to the concept of shape of a submanifold A 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.

*Work performed under the auspices of the GNSAGA-CNR, within the Project 'Geometria reale e complessa' of the MURST, with the support of INdAM and under the supervision of Prof. M. Ferri.

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