Integral points and the hyperbolicity of the complement of hypersurfaces.
Min Ru (1993)
Journal für die reine und angewandte Mathematik
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Min Ru (1993)
Journal für die reine und angewandte Mathematik
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Ekaterina Amerik (1997)
Journal für die reine und angewandte Mathematik
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Kim, Hyang Sook, Pyo, Yong-Soo (1998)
Balkan Journal of Geometry and its Applications (BJGA)
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Claire C. Chan (1997)
Journal für die reine und angewandte Mathematik
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Klaus Steffen, Frank Duzaar (1994)
Journal für die reine und angewandte Mathematik
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Patrick J. Ryan (1972)
Colloquium Mathematicae
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Ṣahin, Bayram, Güneṣ, Rifat (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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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.
Takehiro Itoh, Sadahiro Maeda (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
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We characterize totally η-umbilic real hypersurfaces in a nonflat complex space form M̃ₙ(c) (= ℂPⁿ(c) or ℂHⁿ(c)) and a real hypersurface of type (A₂) of radius π/(2√c) in ℂPⁿ(c) by observing the shape of some geodesics on those real hypersurfaces as curves in the ambient manifolds (Theorems 1 and 2).
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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Sadahiro Maeda, Toshiaki Adachi (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
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We characterize curvature-adapted real hypersurfaces in nonflat quaternionic space forms in terms of their shape operators and structure tensors.
Jürgen Berndt (1989)
Journal für die reine und angewandte Mathematik
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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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