Homogeneous hypersurfaces in $\CC{3}$, associated with a model CR-cubic
The model 4-dimensional CR-cubic in $\CC{3}$ has the following "model" property: it is (essentially) the unique locally homogeneous 4-dimensional CR-manifold in $\CC{3}$ with finite-dimensional infinitesimal automorphism algebra $\mathfrak{g}$ and non-trivial isotropy subalgebra. We study...
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| creator | Beloshapka, V. K Kossovskiy, I. G |
| description | The model 4-dimensional CR-cubic in $\CC{3}$ has the following "model"
property: it is (essentially) the unique locally homogeneous 4-dimensional
CR-manifold in $\CC{3}$ with finite-dimensional infinitesimal automorphism
algebra $\mathfrak{g}$ and non-trivial isotropy subalgebra. We study and
classify, up to local biholomorphic equivalence, all $\mathfrak{g}$-homogeneous
hypersurfaces in $\CC{3}$ and also classify the corresponding local transitive
actions of the model algebra $\mathfrak{g}$ on hypersurfaces in $\CC{3}$. |
| doi_str_mv | 10.48550/arxiv.0910.0658 |
| format | Article |
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property: it is (essentially) the unique locally homogeneous 4-dimensional
CR-manifold in $\CC{3}$ with finite-dimensional infinitesimal automorphism
algebra $\mathfrak{g}$ and non-trivial isotropy subalgebra. We study and
classify, up to local biholomorphic equivalence, all $\mathfrak{g}$-homogeneous
hypersurfaces in $\CC{3}$ and also classify the corresponding local transitive
actions of the model algebra $\mathfrak{g}$ on hypersurfaces in $\CC{3}$.</description><identifier>DOI: 10.48550/arxiv.0910.0658</identifier><language>eng</language><subject>Mathematics - Complex Variables</subject><creationdate>2009-10</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/0910.0658$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.0910.0658$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Beloshapka, V. K</creatorcontrib><creatorcontrib>Kossovskiy, I. G</creatorcontrib><title>Homogeneous hypersurfaces in $\CC{3}$, associated with a model CR-cubic</title><description>The model 4-dimensional CR-cubic in $\CC{3}$ has the following "model"
property: it is (essentially) the unique locally homogeneous 4-dimensional
CR-manifold in $\CC{3}$ with finite-dimensional infinitesimal automorphism
algebra $\mathfrak{g}$ and non-trivial isotropy subalgebra. We study and
classify, up to local biholomorphic equivalence, all $\mathfrak{g}$-homogeneous
hypersurfaces in $\CC{3}$ and also classify the corresponding local transitive
actions of the model algebra $\mathfrak{g}$ on hypersurfaces in $\CC{3}$.</description><subject>Mathematics - Complex Variables</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj01LAzEURbNxIdW9K8miS6fmayaTpQRthYIgXRaGNy9JG-g0ZdJRi_jfnVZXF-6FczmE3HE2U3VZskfov-LHjJmxYFVZX5P5InVp4_c-DZluTwff56EPgD7TuKfTtbXf8mf6QCHnhBGO3tHPeNxSoF1yfkfte4FDG_GGXAXYZX_7nxOyenle2UWxfJu_2qdlAeNdgaB5KZkwHkxQXDNeG6Wc1pLzSrY1CsEQUEpkTKhxDs5Jgcboysk2ODkh93_Yi0hz6GMH_ak5CzVnIfkLAgdEEg</recordid><startdate>20091004</startdate><enddate>20091004</enddate><creator>Beloshapka, V. K</creator><creator>Kossovskiy, I. G</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20091004</creationdate><title>Homogeneous hypersurfaces in $\CC{3}$, associated with a model CR-cubic</title><author>Beloshapka, V. K ; Kossovskiy, I. G</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a658-ca7153029ea9f417018944d7731163b8c220cac33c0024701fdd32c9976d3bfd3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Mathematics - Complex Variables</topic><toplevel>online_resources</toplevel><creatorcontrib>Beloshapka, V. K</creatorcontrib><creatorcontrib>Kossovskiy, I. G</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Beloshapka, V. K</au><au>Kossovskiy, I. G</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Homogeneous hypersurfaces in $\CC{3}$, associated with a model CR-cubic</atitle><date>2009-10-04</date><risdate>2009</risdate><abstract>The model 4-dimensional CR-cubic in $\CC{3}$ has the following "model"
property: it is (essentially) the unique locally homogeneous 4-dimensional
CR-manifold in $\CC{3}$ with finite-dimensional infinitesimal automorphism
algebra $\mathfrak{g}$ and non-trivial isotropy subalgebra. We study and
classify, up to local biholomorphic equivalence, all $\mathfrak{g}$-homogeneous
hypersurfaces in $\CC{3}$ and also classify the corresponding local transitive
actions of the model algebra $\mathfrak{g}$ on hypersurfaces in $\CC{3}$.</abstract><doi>10.48550/arxiv.0910.0658</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Complex Variables |
| title | Homogeneous hypersurfaces in $\CC{3}$, associated with a model CR-cubic |
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