Geodesic
REAL HYPERSURFACES IN QUATERNIONIC PROJECTIVE SPACES WITH COMMUTING TANGENT JACOBI OPERATORS
Glasgow mathematical journal, Tome 45 (2003) no. 1, pp. 79-89

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DOI

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.
DOI : 10.1017/S0017089502001015
Mots-clés : 53C15, 53B25 
ORTEGA, MIGUEL; PÉREZ, JUAN DE DIOS; SUH, YOUNG JIN. REAL HYPERSURFACES IN QUATERNIONIC PROJECTIVE SPACES WITH COMMUTING TANGENT JACOBI OPERATORS. Glasgow mathematical journal, Tome 45 (2003) no. 1, pp. 79-89. doi: 10.1017/S0017089502001015
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     title = {REAL {HYPERSURFACES} {IN} {QUATERNIONIC} {PROJECTIVE} {SPACES} {WITH} {COMMUTING} {TANGENT} {JACOBI} {OPERATORS}},
     journal = {Glasgow mathematical journal},
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