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Relative nullity foliations and indefinite isometric immersions

Relative nullity foliations and indefinite isometric immersions

This paper investigates the relative nullity distribution of an indefinite Riemannian manifold isometrically immersed into an indefinite space form.Introduction.In this paper we investigate the relative nullity distribution of an indefinite Riemannian manifold isometrically immersed into an indefinite space form.This distribution is totally geodesic and gives rise to a Ricatti-type differential …