On the Chern-type problem in a complex projective space.
Kim, Hyang Sook, Pyo, Yong-Soo (1999)
Balkan Journal of Geometry and its Applications (BJGA)
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Displaying similar documents to “Certain sufficient conditions to be a complex projective space”
On the Chern-type problem in a complex projective space.
On holomorphically projective mappings of -Kähler manifolds
Irena Hinterleitner (2012)
Archivum Mathematicum
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In this paper we study fundamental equations of holomorphically projective mappings of -Kähler spaces (i.e. classical, pseudo- and hyperbolic Kähler spaces) with respect to the smoothness class of metrics. We show that holomorphically projective mappings preserve the smoothness class of metrics.
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...
Quaternionic Kähler Manifolds.
Simon Salamon (1982)
Inventiones mathematicae
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Complex Contact Structures and the First Eigenvalue of the Dirac Operator on Kähler Manifolds.
K.-D. Kirchberg, U. Semmelmann (1995)
Geometric and functional analysis
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An embedding theorem of complete Kähler manifolds of positive Ricci curvature onto quasi-projective varieties.
Ngaiming Mok (1990)
Mathematische Annalen
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The complete classification of compactifications of C³ which are projective manifolds with the second Betti number one.
Mikio Furushima (1993)
Mathematische Annalen
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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.
Homography in ℝℙ
Roland Coghetto (2016)
Formalized Mathematics
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The real projective plane has been formalized in Isabelle/HOL by Timothy Makarios [13] and in Coq by Nicolas Magaud, Julien Narboux and Pascal Schreck [12]. Some definitions on the real projective spaces were introduced early in the Mizar Mathematical Library by Wojciech Leonczuk [9], Krzysztof Prazmowski [10] and by Wojciech Skaba [18]. In this article, we check with the Mizar system [4], some properties on the determinants and the Grassmann-Plücker relation in rank 3 [2], [1], [7],...
Compact Kähler manifolds with compactifiable universal cover
Benoît Claudon, Andreas Höring (2013)
Bulletin de la Société Mathématique de France
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In this appendix, we observe that Iitaka’s conjecture fits in the more general context of special manifolds, in which the relevant statements follow from the particular cases of projective and simple manifolds.
Deforming real projective structures.
Gallo, Daniel M. (1997)
Annales Academiae Scientiarum Fennicae. Mathematica
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On the coexistence of various geometries
Marek Kordos (1989)
Colloquium Mathematicae
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