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REAL HYPERSURFACES IN QUATERNIONIC PROJECTIVE SPACES WITH COMMUTING TANGENT JACOBI OPERATORS
Published online by Cambridge University Press: 01 May 2003
Abstract
From the classical differential equation of Jacobi fields, one naturally defines the Jacobi operator of a Riemannian manifold with respect to any tangent vector. A straightforward computation shows that any real, complex and quaternionic space forms satisfy that any two Jacobi operators commute. In this way, we classify the real hypersurfaces in quaternionic projective spaces all of whose tangent Jacobi operators commute.
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- Research Article
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- 2003 Glasgow Mathematical Journal Trust
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