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This paper studies structural properties of locally symmetric submanifolds. One of the main result states that a locally symmetric submanifold M of R-n admits a locally symmetric tangential parametrization in an appropriately reduced ambient space. This property has its own interest and is the key element to establish, in a follow-up paper 7, that the spectral set lambda-1 M := {X is an element of S-n : lambdaX is an element of M} consisting of all n x n symmetric matrices having their eigenvalues on M, is a smooth submanifold of the space of symmetric matrices Sn. Here AX is the n-dimensional ordered vector of the eigenvalues of X.Nota general

Artículo de publicación ISI

Author: Daniilidis, Aris; - Malick, Jerome; - Sendov, Hristo; -

Source: http://repositorio.uchile.cl/


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