Fano hypersurfaces in weighted projective 4-spaces.
Johnson, Jennifer M., Kollár, János (2001)
Experimental Mathematics
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Johnson, Jennifer M., Kollár, János (2001)
Experimental Mathematics
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Dorić, M., Petrović-Torgašev, M., Verstraelen, L. (1988)
Publications de l'Institut Mathématique. Nouvelle Série
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Gabriel Eduard Vîlcu (2010)
Annales Polonici Mathematici
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We study 3-submersions from a QR-hypersurface of a quaternionic Kähler manifold onto an almost quaternionic hermitian manifold. We also prove the non-existence of quaternionic submersions between quaternionic Kähler manifolds which are not locally hyper-Kähler.
Ki, U-Hang, Suh, Young Jin, de Dios Pérez, Juan (1997)
International Journal of Mathematics and Mathematical Sciences
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Kim, Hyang Sook, Pyo, Yong-Soo (1999)
Balkan Journal of Geometry and its Applications (BJGA)
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Suh, Young Jin, Pérez, Juan de Dios (1999)
International Journal of Mathematics and Mathematical Sciences
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Makoto Kimura, Sadahiro Maeda (1989)
Mathematische Zeitschrift
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B. B. Sinha, R. Sharma (1980)
Matematički Vesnik
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Vu Viet Hung, Hoang Nhat Quy (2012)
Annales Polonici Mathematici
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We study restrictions of ω-plurisubharmonic functions to a smooth hypersurface S in a compact Kähler manifold X. The result obtained and the characterization of convergence in capacity due to S. Dinew and P. H. Hiep [to appear in Ann. Scuola Norm. Sup. Pisa Cl. Sci.] are used to study convergence in capacity on S.
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.
Ryszard Deszcz, Mike Scherfner (2007)
Colloquium Mathematicae
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We prove that every generalized Cartan hypersurface satisfies the so called Roter type equation. Using this fact, we construct a particular class of generalized Robertson-Walker spacetimes.
Sadahiro Maeda (1983)
Mathematische Annalen
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Akivis, Maks A., Goldberg, Vladislav V. (1998)
Beiträge zur Algebra und Geometrie
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Young Ho Kim, Sadahiro Maeda (2011)
Colloquium Mathematicae
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We characterize homogeneous real hypersurfaces of types (A₀), (A₁) and (B) in a complex projective space or a complex hyperbolic space.
de Dios Pérez, Juan, Santos, Florentino G. (1991)
International Journal of Mathematics and Mathematical Sciences
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J.W. Bruce (1981)
Mathematica Scandinavica
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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.
de Dios Perez, Juan (1996)
International Journal of Mathematics and Mathematical Sciences
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Ryszard Deszcz, Małgorzata Głogowska, Marian Hotloś, Leopold Verstraelen (2003)
Colloquium Mathematicae
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Solutions of the P. J. Ryan problem as well as investigations of curvature properties of Cartan hypersurfaces and Ricci-pseudosymmetric hypersurfaces lead to curvature identities holding on every hypersurface M isometrically immersed in a semi-Riemannian space form. These identities, under some assumptions, give rises to new generalized Einstein metric conditions on M. We investigate hypersurfaces satisfying such curvature conditions.