Holomorphic Sectional Curvature of Complex Finsler Manifolds. [PDF]
J Geom Anal, 2019 In this paper, we get an inequality in terms of holomorphic sectional curvature of complex Finsler metrics. As applications, we prove a Schwarz Lemma from a complete Riemannian manifold to a complex Finsler manifold.
Wan X.
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Complex nilmanifolds with constant holomorphic sectional curvature [PDF]
Proceedings of the American Mathematical Society, 2021 A well known conjecture in complex geometry states that a compact Hermitian manifold with constant holomorphic sectional curvature must be Kähler if the constant is non-zero and must be Chern flat if the constant is zero.
Yulu Li, F. Zheng
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A Liouville Property of Holomorphic Maps [PDF]
The Scientific World Journal, 2013 We prove a Liouville property of holomorphic maps from a complete Kähler manifold with nonnegative holomorphic bisectional curvature to a complete simply connected Kähler manifold with a certain assumption on the sectional curvature.
Chengjie Yu
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On the image of MRC fibrations of projective manifolds with semi-positive holomorphic sectional curvature [PDF]
Pure and Applied Mathematics Quarterly, 2018 In this paper, we pose several conjectures on structures and images of maximal rationally connected fibrations of smooth projective varieties admitting semi-positive holomorphic sectional curvature.
Matsumura, Shin-ichi
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On the boundary behavior of the holomorphic sectional curvature of the Bergman metric [PDF]
Le Matematiche, 2006 We obtain a conceptually new differential geometric proof of P. F. Klembeck’s result (cf. [9]) that the holomorphic sectional curvature k g (z ) of the Bergman metric of a strictly pseudoconvex domain Ω ⊂ ℂ n approaches −4/(n + 1 ...
Elisabetta Barletta
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Curvature Identities for Generalized Kenmotsu Manifolds [PDF]
E3S Web of Conferences, 2021 In the present paper we obtained 2 identities, which are satisfied by Riemann curvature tensor of generalized Kenmotsu manifolds. There was obtained an analytic expression for third structure tensor or tensor of f-holomorphic sectional curvature of GK ...
Ahmad Abu-Saleem +2 more
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K- constant type Kahler and Nearly Kahler manifolds for conharmonic curvature tensor
Tikrit Journal of Pure Science, 2023 The constant of permanence conharmonic type kahler and nearly kahler manifold conditions are obtained when the Nearly Kahler manifold is a manifold conharmonic constant type (K).
Ali A. Shihab, Rana H. jasim
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Bergman–Calabi diastasis and Kähler metric of constant holomorphic sectional curvature [PDF]
Pure and Applied Mathematics Quarterly, 2021 We prove that for a bounded domain in C with the Bergman metric of constant holomorphic sectional curvature being biholomorphic to a ball is equivalent to the hyperconvexity or the exhaustiveness of the Bergman-Calabi diastasis. By finding its connection
R. X. Dong, B. Wong
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Norden Golden Manifolds with Constant Sectional Curvature and Their Submanifolds
Mathematics, 2023 This paper discusses the Norden golden manifold having a constant sectional curvature. First, it is shown that if a Norden golden manifold has a constant real sectional curvature, the manifold is flat.
Fulya Şahin +2 more
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Sasakian surfaces of invariable holomorphic sectional curvature in Hyper-Kaehlerian manifolds
Journal of Mountain Research, 2023 Negi and Bisht (2019) measured almost contact hypersurfaces of a Kaehlerian manifold. They (Negi and Bisht 2022) also calculated hypersurface Properties of Almost Contact Kaehlerian Manifolds.
U. S. Negi +3 more
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