Abstract
We classify real hypersurfaces of quaternionic projective space satisfying\(\nabla _{U_i } A = 0\), i=1,2,3.
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BERNDT J.,Real hypersurfaces in quaternionic space forms, J. reine angew. Math., 419(1991), 9–26.
ISHIHARA S.,Quaternion Kählerian manifolds, J. Differential Geom., 9(1974), 483–500.
KIMURA M. and MAEDA S.,On real hypersurfaces of a complex projective space II, Tsukuba J. Math., 15 (1991), 547–561.
MARTINEZ A.,Ruled real hypersurfaces in quaternionic projective space, Anal. Sti. Univ. Al I Cuza, 34 (1988), 73–78.
MARTINEZ A. and PEREZ J.D.,Real hypersurfaces in quaternionic projective space, Ann. Mat. Pura Appl., 145 (1986), 355–384.
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Dedicated to Prof. Nikolaus Stephanidis on his 65th birthday.
Research partially supported by DGICYT Grant PS87-0115-CO3-02.
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de Dios Pérez, J. Real hypersurfaces of quaternionic projective space satisfying\(\nabla _{U_i } A = 0\) . J Geom 49, 166–177 (1994). https://doi.org/10.1007/BF01228059
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DOI: https://doi.org/10.1007/BF01228059