Common Tangents to Spheres in ℝ3
Identifieur interne : 006507 ( Main/Merge ); précédent : 006506; suivant : 006508Common Tangents to Spheres in ℝ3
Auteurs : Ciprian Borcea [États-Unis] ; Xavier Goaoc [France] ; Sylvain Lazard [France] ; Sylvain Petitjean [France]Source :
- Discrete & Computational Geometry [ 0179-5376 ] ; 2006-02-01.
Descripteurs français
- mix :
Abstract
Abstract: We prove that four spheres in ℝ3 have infinitely many real common tangents if and only if they have aligned centers and at least one real common tangent.
Url:
DOI: 10.1007/s00454-005-1230-y
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<front><div type="abstract" xml:lang="en">We prove that four spheres in $R3$ have infinitely many real common tangents if and only if they have aligned centers and at least one real common tangent.</div>
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<wicri:regionArea>LORIA-INRIA Lorraine, CNRS, and Universite Nancy 2, 54602 Villers-les-Nancy cedex</wicri:regionArea>
<placeName><region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
<settlement type="city">Villers-les-Nancy</settlement>
</placeName>
</affiliation>
<affiliation wicri:level="1"><country wicri:rule="url">France</country>
</affiliation>
</author>
</analytic>
<monogr></monogr>
<series><title level="j">Discrete & Computational Geometry</title>
<title level="j" type="sub">An International Journal of Mathematics and Computer Science</title>
<title level="j" type="abbrev">Discrete Comput Geom</title>
<idno type="ISSN">0179-5376</idno>
<idno type="eISSN">1432-0444</idno>
<imprint><publisher>Springer-Verlag; www.springer-ny.com</publisher>
<pubPlace>New York</pubPlace>
<date type="published" when="2006-02-01">2006-02-01</date>
<biblScope unit="volume">35</biblScope>
<biblScope unit="issue">2</biblScope>
<biblScope unit="page" from="287">287</biblScope>
<biblScope unit="page" to="300">300</biblScope>
</imprint>
<idno type="ISSN">0179-5376</idno>
</series>
</biblStruct>
</sourceDesc>
<seriesStmt><idno type="ISSN">0179-5376</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass></textClass>
<langUsage><language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">Abstract: We prove that four spheres in ℝ3 have infinitely many real common tangents if and only if they have aligned centers and at least one real common tangent.</div>
</front>
</TEI>
</ISTEX>
</double>
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