Math @ Duke

Publications [#243392] of Robert Bryant
search www.ams.org.Papers Published
 with Berger, E; Griffiths, P, The Gauss equations and rigidity of isometric embeddings,
Duke Math. J., vol. 50 no. 3
(1983),
pp. 803892 [MR85k:53056]
(last updated on 2018/12/15)
Author's Comments: The full version, with proofs, of a study of the
characteristic
variety of the isometric embedding problem in the
overdetermined range.
The main goals are rigidity and finiteness theorems,
although we do study
some degenerate situations that generalize Cartan's
study of isometric
embeddings of hyperbolic nspace into real
(2n1)space, where we get some
classification results for the `maximally nonrigid' case.


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