Abstract
where a, celE, re lR, and p = Ic[ 2. In 1962, Tanaka [11] proved the analogous result for arbi trary nondegenerate hyperquadrics in I E ' + l : { ( z , w ) e l E ' x l E : l m w = ( z , z ) } , where ( , . ) is a nondegenerate Hermit ian form in • ' . Nondegenerate hyperquadrics serve as quadrat ic models of hypersurfaces in C "+1 with nondegenerate Levi form. Nondegenerate quadrics in r "+k are the quadratic models of surfaces with nondegenerate (in sense of Baouendi Jacobowi t~Tr6ves ([1]) and Beloshapka ([2])) vector-valued Levi form:
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