Real hypersurfaces of type in quaternionic projective space.
Ki, U-Hang, Suh, Young Jin, de Dios Pérez, Juan (1997)
International Journal of Mathematics and Mathematical Sciences
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Ki, U-Hang, Suh, Young Jin, de Dios Pérez, Juan (1997)
International Journal of Mathematics and Mathematical Sciences
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de Dios Pérez, Juan, Santos, Florentino G. (1991)
International Journal of Mathematics and Mathematical Sciences
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Seon Mi Lyu, Juan de Dios Pérez, Young Jin Suh (2007)
Czechoslovak Mathematical Journal
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This paper consists of two parts. In the first, we find some geometric conditions derived from the local symmetry of the inverse image by the Hopf fibration of a real hypersurface in complex space form . In the second, we give a complete classification of real hypersurfaces in which satisfy the above geometric facts.
de Dios Perez, Juan (1996)
International Journal of Mathematics and Mathematical Sciences
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Barbara Opozda, Udo Simon (2014)
Annales Polonici Mathematici
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We investigate parallel hypersurfaces in the context of relative hypersurface geometry, in particular including the cases of Euclidean and Blaschke hypersurfaces. We describe the geometric relations between parallel hypersurfaces in terms of deformation operators, and we apply the results to the parallel deformation of special classes of hypersurfaces, e.g. quadrics and Weingarten hypersurfaces.
Akivis, Maks A., Goldberg, Vladislav V. (1998)
Beiträge zur Algebra und Geometrie
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Pietro De Poi, Giovanna Ilardi (2019)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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This article presents the theory of focal locus applied to the hypersurfaces in the projective space which are (finitely) covered by linear spaces and such that the tangent space is constant along these spaces.
Hyunjin Lee, Juan de Dios Pérez, Young Jin Suh (2010)
Czechoslovak Mathematical Journal
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We introduce the new notion of pseudo--parallel real hypersurfaces in a complex projective space as real hypersurfaces satisfying a condition about the covariant derivative of the structure Jacobi operator in any direction of the maximal holomorphic distribution. This condition generalizes parallelness of the structure Jacobi operator. We classify this type of real hypersurfaces.
Sadahiro Maeda (1983)
Mathematische Annalen
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Makoto Kimura, Sadahiro Maeda (1989)
Mathematische Zeitschrift
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Kim, Hyang Sook, Pyo, Yong-Soo (1998)
Balkan Journal of Geometry and its Applications (BJGA)
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