%0 Journal Article
%T Peterson's Deformations of Higher Dimensional Quadrics
%A Ion I. Dinc£¿
%J Symmetry, Integrability and Geometry : Methods and Applications
%D 2010
%I National Academy of Science of Ukraine
%X We provide the first explicit examples of deformations of higher dimensional quadrics: a straightforward generalization of Peterson's explicit 1-dimensional family of deformations in C^3 of 2-dimensional general quadrics with common conjugate system given by the spherical coordinates on the complex sphere S^2 subset C^3 to an explicit (n¨C1)-dimensional family of deformations in C^{2n¨C1} of n-dimensional general quadrics with common conjugate system given by the spherical coordinates on the complex sphere S^n subset C^{n+1} and non-degenerate joined second fundamental forms. It is then proven that this family is maximal.
%K Peterson's deformation
%K higher dimensional quadric
%K common conjugate system
%U http://dx.doi.org/10.3842/SIGMA.2010.006