Electronic Resource
Springer
Periodica mathematica Hungarica
40 (2000), S. 1-11
ISSN:
1588-2829
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract A submanifold M of a Euclidean space is called diametrical with respect to a centre p if it admits a tangent preserving diffeomorphism such that the chords connecting the points on M with their images pass through p. Characterisations are given for the obvious situation, when M is reflectionally symmetric with respect to p and when M is spherical in addition to this. Moreover, non-obvious examples are obtained and the structure of diametrical submanifolds is investigated in more general cases.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1004889304231
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