# Surfaces which contain many circles

Banach Center Publications (2008)

- Volume: 82, Issue: 1, page 201-207
- ISSN: 0137-6934

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topNobuko 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 -

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