Certain sufficient conditions to be a complex projective space
Takashi Kameda, Seiichi Yamaguchi (1985)
Colloquium Mathematicae
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Takashi Kameda, Seiichi Yamaguchi (1985)
Colloquium Mathematicae
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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.
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...
Arslan, Kadri, Özgür, Cihan (1999)
Balkan Journal of Geometry and its Applications (BJGA)
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Andrzej Miernowski, Witold Mozgawa (1997)
Collectanea Mathematica
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Grassmannians of higher order appeared for the first time in a paper of A. Szybiak in the context of the Cartan method of moving frame. In the present paper we consider a special case of higher order Grassmannian, the projective space of second order. We introduce the projective group of second order acting on this space, derive its Maurer-Cartan equations and show that our generalized projective space is a homogeneous space of this group.
Cho, Jong Taek, Ki, U-Hang (1997)
Balkan Journal of Geometry and its Applications (BJGA)
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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.
Klaus Kaiser (1973)
Colloquium Mathematicae
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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],...
Gallo, Daniel M. (1997)
Annales Academiae Scientiarum Fennicae. Mathematica
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Irena Hinterleitner, Josef Mikeš (2013)
Archivum Mathematicum
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In this paper we study fundamental equations of holomorphically projective mappings from manifolds with equiaffine connection onto (pseudo-) Kähler manifolds with respect to the smoothness class of connection and metrics. We show that holomorphically projective mappings preserve the smoothness class of connections and metrics.
Boskoff, Wladimir G., Suceavă, Bogdan D. (2008)
Beiträge zur Algebra und Geometrie
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