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Some Hypersurfaces of Symmetric Spaces
Published online by Cambridge University Press: 20 November 2018
Abstract
In this paper we consider how much we can say about an irreducible symmetric space M which admits a hypersurface N with at most two distinct principal curvatures. Then we will obtain that (1) if N is locally symmetric, then M must be a sphere, a real projective space and their noncompact duals (2) if N is Einstein, then M must be rank 1.
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- Copyright © Canadian Mathematical Society 1983
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