Surfaces which contain many circles

Nobuko Takeuchi. "Surfaces which contain many circles." Banach Center Publications 82.1 (2008): 201-207. <http://eudml.org/doc/281689>.

@article{NobukoTakeuchi2008,
abstract = {We survey the results on surfaces which contain many circles. First, we give two analyses of shapes which always look round. Then we introduce the Blum conjecture: “A closed $C^\{∞\}$ surface in E³ which contains seven circles through each point is a sphere”, and give some partial affirmative results toward the conjecture. Moreover, we study some surfaces which contain many circles through each point, for example, cyclides.},
author = {Nobuko Takeuchi},
journal = {Banach Center Publications},
keywords = {cyclides},
language = {eng},
number = {1},
pages = {201-207},
title = {Surfaces which contain many circles},
url = {http://eudml.org/doc/281689},
volume = {82},
year = {2008},
}

TY - JOUR
AU - Nobuko Takeuchi
TI - Surfaces which contain many circles
JO - Banach Center Publications
PY - 2008
VL - 82
IS - 1
SP - 201
EP - 207
AB - We survey the results on surfaces which contain many circles. First, we give two analyses of shapes which always look round. Then we introduce the Blum conjecture: “A closed $C^{∞}$ surface in E³ which contains seven circles through each point is a sphere”, and give some partial affirmative results toward the conjecture. Moreover, we study some surfaces which contain many circles through each point, for example, cyclides.
LA - eng
KW - cyclides
UR - http://eudml.org/doc/281689
ER -