LEADER 00497oam 2200181z- 450 001 996388427603316 005 20200818221728.0 035 $a(CKB)4940000000088029 035 $a(EEBO)2264173675 035 $a(EXLCZ)994940000000088029 100 $a20191209c1652uuuu -u- - 101 0 $aeng 200 14$aThe French intelligencer ... [Issue 20] 210 $cPrinted by R. Wood$aEngland 906 $aBOOK 912 $a996388427603316 996 $aThe French intelligencer ...$92330351 997 $aUNISA LEADER 02928nam 22005055 450 001 996466503403316 005 20200702045047.0 010 $a3-642-19783-3 024 7 $a10.1007/978-3-642-19783-3 035 $a(CKB)2670000000076218 035 $a(SSID)ssj0000506051 035 $a(PQKBManifestationID)11313190 035 $a(PQKBTitleCode)TC0000506051 035 $a(PQKBWorkID)10513729 035 $a(PQKB)11451530 035 $a(DE-He213)978-3-642-19783-3 035 $a(MiAaPQ)EBC3066601 035 $a(PPN)151591369 035 $a(EXLCZ)992670000000076218 100 $a20110329d2011 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aSpherical Tube Hypersurfaces$b[electronic resource] /$fby Alexander Isaev 205 $a1st ed. 2011. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2011. 215 $a1 online resource (XII, 230 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2020 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-642-19782-5 320 $aIncludes bibliographical references and index. 330 $aWe examine Levi non-degenerate tube hypersurfaces in complex linear space which are "spherical," that is, locally CR-equivalent to the real hyperquadric. Spherical hypersurfaces are characterized by the condition of the vanishing of the CR-curvature form, so such hypersurfaces are flat from the CR-geometric viewpoint. On the other hand, such hypersurfaces are also of interest from the point of view of affine geometry. Thus our treatment of spherical tube hypersurfaces in this book is two-fold: CR-geometric and affine-geometric. As the book shows, spherical tube hypersurfaces possess remarkable properties. For example, every such hypersurface is real-analytic and extends to a closed real-analytic spherical tube hypersurface in complex space. One of our main goals is to provide an explicit affine classification of closed spherical tube hypersurfaces whenever possible. In this book we offer a comprehensive exposition of the theory of spherical tube hypersurfaces, starting with the idea proposed in the pioneering work by P. Yang (1982) and ending with the new approach put forward by G. Fels and W. Kaup (2009). 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v2020 606 $aFunctions of complex variables 606 $aSeveral Complex Variables and Analytic Spaces$3https://scigraph.springernature.com/ontologies/product-market-codes/M12198 615 0$aFunctions of complex variables. 615 14$aSeveral Complex Variables and Analytic Spaces. 676 $a516.3/53 700 $aIsaev$b Alexander$4aut$4http://id.loc.gov/vocabulary/relators/aut$0284214 906 $aBOOK 912 $a996466503403316 996 $aSpherical tube hypersurfaces$9261807 997 $aUNISA