000 | 02712nam a22004335i 4500 | ||
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001 | 978-3-642-19783-3 | ||
003 | DE-He213 | ||
005 | 20190213151553.0 | ||
007 | cr nn 008mamaa | ||
008 | 110329s2011 gw | s |||| 0|eng d | ||
020 |
_a9783642197833 _9978-3-642-19783-3 |
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024 | 7 |
_a10.1007/978-3-642-19783-3 _2doi |
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050 | 4 | _aQA331.7 | |
072 | 7 |
_aPBKD _2bicssc |
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_aMAT034000 _2bisacsh |
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072 | 7 |
_aPBKD _2thema |
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082 | 0 | 4 |
_a515.94 _223 |
100 | 1 |
_aIsaev, Alexander. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aSpherical Tube Hypersurfaces _h[electronic resource] / _cby Alexander Isaev. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2011. |
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300 |
_aXII, 230 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2020 |
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520 | _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). | ||
650 | 0 | _aDifferential equations, partial. | |
650 | 1 | 4 |
_aSeveral Complex Variables and Analytic Spaces. _0http://scigraph.springernature.com/things/product-market-codes/M12198 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783642197826 |
776 | 0 | 8 |
_iPrinted edition: _z9783642197840 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2020 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-642-19783-3 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
999 |
_c11135 _d11135 |