02928nam 22005055 450 99646650340331620200702045047.03-642-19783-310.1007/978-3-642-19783-3(CKB)2670000000076218(SSID)ssj0000506051(PQKBManifestationID)11313190(PQKBTitleCode)TC0000506051(PQKBWorkID)10513729(PQKB)11451530(DE-He213)978-3-642-19783-3(MiAaPQ)EBC3066601(PPN)151591369(EXLCZ)99267000000007621820110329d2011 u| 0engurnn|008mamaatxtccrSpherical Tube Hypersurfaces[electronic resource] /by Alexander Isaev1st ed. 2011.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2011.1 online resource (XII, 230 p.) Lecture Notes in Mathematics,0075-8434 ;2020Bibliographic Level Mode of Issuance: Monograph3-642-19782-5 Includes bibliographical references and index.We 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).Lecture Notes in Mathematics,0075-8434 ;2020Functions of complex variablesSeveral Complex Variables and Analytic Spaceshttps://scigraph.springernature.com/ontologies/product-market-codes/M12198Functions of complex variables.Several Complex Variables and Analytic Spaces.516.3/53Isaev Alexanderauthttp://id.loc.gov/vocabulary/relators/aut284214BOOK996466503403316Spherical tube hypersurfaces261807UNISA