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Kähler manifolds of semi-negative holomorphic sectional curvature [PDF]
Journal of Differential Geometry, 2016 In an earlier work, we investigated some consequences of the existence of a K hler metric of negative holomorphic sectional curvature on a projective manifold. In the present work, we extend our results to the case of semi-negative (i.e., non-positive) holomorphic sectional curvature.
Heier, Gordon +2 more
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Holomorphic sectional curvature of quasisymmetric domains [PDF]
Proceedings of the American Mathematical Society, 1979 It is well known that the holomorphic sectional curvature of a bounded symmetric domain is bounded above by a negative constant. In this paper we show that this is true more generally for a quasi-symmetric Siegel domain, and the proof is based on a formula for the curvature from the author’s thesis. The bounded homogeneous domains are, as is well known,
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A New Proof of a Conjecture on Nonpositive Ricci Curved Compact Kähler–Einstein Surfaces
Mathematics, 2018 In an earlier paper, we gave a proof of the conjecture of the pinching of the bisectional curvature mentioned in those two papers of Hong et al. of 1988 and 2011. Moreover, we proved that any compact Kähler–Einstein surface M is a quotient of the complex
Zhuang-Dan Daniel Guan
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Holomorphic Bisectional Curvatures, Supersymmetry Breaking, and Affleck-Dine Baryogenesis [PDF]
, 2012 Working in $D=4, N=1$ supergravity, we utilize relations between holomorphic sectional and bisectional curvatures of Kahler manifolds to constrain Affleck-Dine baryogenesis.
Bhaskar Dutta +2 more
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Characterizations of real hypersurfaces of a complex hyperbolic space in terms of Ricci tensor and holomorphic distribution [PDF]
, 1994 Let CPn and CHn denote the complex projective n-space with constant holomorphic sectional curvature 4, and the complex hyperboric n-space with constant holomorphic sectional curvature -4, respectively. Let M be a real hypersurface of CPn or CHn, ..
Taniguchi Tadashi
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Picard number, holomorphic sectional curvature, and ampleness [PDF]
Proceedings of the American Mathematical Society, 2011 We prove that for a projective manifold with Picard number equal to one, if the manifold admits a Kähler metric whose holomorphic sectional curvature is quasi-negative, then the canonical bundle of the manifold is ample.
Wong, Pit-Mann +2 more
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HERMITIAN SURFACES OF CONSTANT HOLOMORPHIC SECTIONAL CURVATURE II
Tamkang Journal of Mathematics, 1990 The present paper ss a continuation of our previous work [7]. We shall prove that a compact Hernutian surface of pointwise positive constant holomorphic sectional curvature is biholomorphica.lly equivalent to a complex projective surface.
Sekigawa, Kouei, Sato, Takuji
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Hirzebruch manifolds and positive holomorphic sectional curvature [PDF]
Annales de l'Institut Fourier, 2019 This paper is the first step in a systematic project to study examples of Kähler manifolds with positive holomorphic sectional curvature (H>0). Hitchin proved that any compact Kähler surface with H>0 must be rational and he constructed such examples on Hirzebruch surfaces M 2,k =ℙ(H k ⊕1 ℂℙ 1 ).
Yang, Bo, Zheng, Fangyang
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A Kähler Einstein structure on the tangent bundle of a space form
International Journal of Mathematics and Mathematical Sciences, 2001 We obtain a Kähler Einstein structure on the tangent bundle of a Riemannian manifold of constant negative curvature. Moreover, the holomorphic sectional curvature of this Kähler Einstein structure is constant.
Vasile Oproiu
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