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  1. No Access

    Article

    Compact Hermitian surfaces with pointwise constant Gauduchon holomorphic sectional curvature

    Motivated by a recent work of Chen–Zheng (J Geom Anal 32:141, 2022) on Strominger space forms, we prove that a compact Hermitian surface with pointwise constant holomorphic sectional curvature with respect to ...

    Haojie Chen, **aolan Nie in Mathematische Zeitschrift (2022)

  2. No Access

    Article

    Schwarz Lemma: The Case of Equality and an Extension

    We prove two results related to the Schwarz lemma in complex geometry. First, we show that if the inequality in the Schwarz lemmata of Yau, Royden and Tosatti becomes equality at one point, then the equality h...

    Haojie Chen, **aolan Nie in The Journal of Geometric Analysis (2022)

  3. No Access

    Article

    Liouville Theorems for Holomorphic Maps on Pseudo-Hermitian Manifolds

    We prove some Liouville type results for generalized holomorphic maps in three classes: maps from pseudo-Hermitian manifolds to almost Hermitian manifolds, maps from almost Hermitian manifolds to pseudo-Hermit...

    Haojie Chen, Yibin Ren in The Journal of Geometric Analysis (2022)

  4. No Access

    Article

    Chern-Ricci curvatures, holomorphic sectional curvature and Hermitian metrics

    We present some formulae related to the Chern-Ricci curvatures and scalar curvatures of special Hermitian metrics. We prove that a compact locally conformal Kähler manifold with constant nonpositive holomorphi...

    Haojie Chen, Lingling Chen, **aolan Nie in Science China Mathematics (2021)

  5. No Access

    Article

    Odd Type Generalized Complex Structures on 4-Manifolds

    We prove that a compact smooth 4-manifold admits generalized complex structures of odd type if and only if it has a transversely holomorphic 2-foliation. We also obtain an equivalent description of generalized...

    Haojie Chen, **aolan Nie in The Journal of Geometric Analysis (2021)

  6. Article

    Open Access

    Displacement of surrounding rock in a deep circular hole considering double moduli and strength-stiffness degradation

    The problem of cavity stability widely exists in deep underground engineering and energy exploitation. First, the stress field of the surrounding rock under the uniform stress field is deduced based on a post-...

    Zenghui Zhao, Wei Sun, Shaojie Chen, Yuanhui Feng… in Applied Mathematics and Mechanics (2020)

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  7. No Access

    Article

    Evolutionary Dynamics of Cooperation in the Public Goods Game with Individual Disguise and Peer Punishment

    The phenomenon of individual disguise is ubiquitous in the real world. Recent evidences show that peer punishment is successful to stabilize cooperation among selfish individuals. However, it is unclear whethe...

    Qiang Wang, Linjie Liu, **aojie Chen in Dynamic Games and Applications (2020)

  8. No Access

    Article

    On the convergence of generalized Schwarz algorithms for solving obstacle problems with elliptic operators

    In this paper, multiplicative and additive generalized Schwarz algorithms for solving obstacle problems with elliptic operators are developed and analyzed. Compared with the classical Schwarz algorithms, in wh...

    Gaojie Chen, **** Zeng in Mathematical Methods of Operations Research (2008)