Fano hypersurfaces in weighted projective 4-spaces.

Johnson, Jennifer M.; Kollár, János

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Displaying similar documents to “Fano hypersurfaces in weighted projective 4-spaces.”

CR structures on real hypersurfaces of a complex projective space.

Cho, Jong Taek, Ki, U-Hang (1997)

Balkan Journal of Geometry and its Applications (BJGA)

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Conditions on the conharmonic curvature tensor of Kähler hypersurfaces in complex space forms.

Dorić, M., Petrović-Torgašev, M., Verstraelen, L. (1988)

Publications de l'Institut Mathématique. Nouvelle Série

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3-submersions from QR-hypersurfaces of quaternionic Kähler manifolds

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.

Convergence in capacity on smooth hypersurfaces of compact Kähler manifolds

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.

On Kähler-Einstein metrics on certain Kahler manifolds with C1 (M) > 0.

G. Tian (1987)

Inventiones mathematicae

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Holomorphically pseudosymmetric Kähler metrics on ℂℙⁿ

Włodzimierz Jelonek (2012)

Colloquium Mathematicae

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The aim of this paper is to present examples of holomorphically pseudosymmetric Kähler metrics on the complex projective spaces ℂℙⁿ, where n ≥ 2.

Kähler-Einstein metrics: Old and New

Daniele Angella, Cristiano Spotti (2017)

Complex Manifolds

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We present classical and recent results on Kähler-Einstein metrics on compact complex manifolds, focusing on existence, obstructions and relations to algebraic geometric notions of stability (K-stability). These are the notes for the SMI course "Kähler-Einstein metrics" given by C.S. in Cortona (Italy), May 2017. The material is not intended to be original.

Strongly not relatives Kähler manifolds

Michela Zedda (2017)

Complex Manifolds

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In this paper we study Kähler manifolds that are strongly not relative to any projective Kähler manifold, i.e. those Kähler manifolds that do not share a Kähler submanifold with any projective Kähler manifold even when their metric is rescaled by the multiplication by a positive constant. We prove two results which highlight some relations between this property and the existence of a full Kähler immersion into the infinite dimensional complex projective space. As application we get that...