InforLorV4, Main, Merge, bibRecord, 006507

Common Tangents to Spheres in ℝ3

Identifieur interne : 006507 ( Main/Merge ); précédent : 006506; suivant : 006508

Common 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.

RBID : ISTEX:04C84E31264A16736893C662F7131243B65C646F

Descripteurs français

mix :
- 3d visibility, computational geometry, droites tangentes, géométrie algorithmique, tangent lines, visibilité 3d.

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

Links toward previous steps (curation, corpus...)

to stream Istex, to step Corpus: 000097
to stream Istex, to step Curation: 000097
to stream Istex, to step Checkpoint: 001596
to stream Hal, to step Corpus: 001624
to stream Hal, to step Curation: 001624
to stream Hal, to step Checkpoint: 004396

Links to Exploration step

ISTEX:04C84E31264A16736893C662F7131243B65C646F

Le document en format XML

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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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</author>
<author><name sortKey="Petitjean, Sylvain" sort="Petitjean, Sylvain" uniqKey="Petitjean S" first="Sylvain" last="Petitjean">Sylvain Petitjean</name>
<affiliation wicri:level="3"><country xml:lang="fr">France</country>
<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>
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<seriesStmt><idno type="ISSN">0179-5376</idno>
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<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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Common Tangents to Spheres in ℝ3

Common Tangents to Spheres in ℝ3

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