发表论文:
Finsler和黎曼流形上非线性方程梯度估计和Hanarck估计方面(后继将研究估计的应用问题)
Huang, Shansong(PRC-SEU-SM); Liu, Xiang(PRC-SEU-SM); Shen, Bin(PRC-SEU-SM); Zhu, Yuhan(PRC-SEU-SM)
Hamilton-type gradient estimates for Yamabe-type equations on Finsler manifolds.
Afr. Mat. (2025) 36:134
Huang, Shansong(PRC-SEU-SM); Shen, Bin(PRC-SEU-SM)
Gradient estimates for porous medium and fast diffusion equations on Riemannian manifolds via Moser iteration.(English summary)
Commun. Pure Appl. Anal. 24 (2025), no. 7, 1242–1260.
Shen, Bin(PRC-SEU-SM); Zhu, Yuhan(PRC-SEU-SM)
Li-Yau estimates for a nonlinear parabolic equation on Finsler metric measure spaces.(English summary)
Manuscripta Math. 176 (2025), no. 2, Paper No. 22, 24 pp.
Shen, Bin(PRC-SEU-SM); Zhang, Hao(PRC-SEU-SM)
Parabolic Finslerian Allen-Cahn equation and its Harnack inequality.
Internat. J. Math. 35 (2024), no. 14, Paper No. 2450058, 17 pp.
广义相对论和物理方面(后继将研究关于非线性光学在量子力学中的应用):
Shen, Bin(PRC-SEU-SM)
Gravitational lensing effect in the Universe with a Finsler background.
J. Geom. Phys.194(2023), Paper No. 104999, 15 pp.
Shen, Bin(PRC-SEU-SM); Yu, Mingyang(PRC-SEU-SM)
Geometric Outlines of the Gravitational Lensing and Its Astronomic Applications. Universe 9(2023), 153, 9030153
Ni, Panrui(PRC-SEU-SVE); Shen, Bin(PRC-SEU-SM)
On variation of action integral in Finsler gravity.
Ann. Physics404(2019), 93–114.
复流形和Sasaki流形上的分析和几何研究(后继将对其上方程估计做研究):
Shen, Bin(PRC-SEU-SM)
Holomorphic vanishing theorems on Finsler holomorphic vector bundles and complex Finsler manifolds.
Canad. Math. Bull.62(2019), no.3, 623–641.
Shen, Bin(PRC-SEU); Shen, Yibing(PRC-ZHJ); Zhang, Xi(PRC-ZHJ)
Holomorphic maps from Sasakian manifolds into Kähler manifolds.
Chinese Ann. Math. Ser. B34(2013), no.4, 575–586.
Shen, Bin(PRC-SEU); Shen, Yibing(PRC-SEU)
Schwarz lemma and Hartogs phenomenon in complex Finsler manifold.
Chinese Ann. Math. Ser. B34(2013), no.3, 455–460.
引入新的Ricci曲率和退化椭圆算子处理向量场问题方面(这方面工作已经完结):
Shen, Bin(PRC-SEU-SM); Zhao, Zisu(PRC-SEU-SM)
Generalizations of Bonnet-Myers theorem on Finsler manifolds.
J. Math. Anal. Appl.495(2021), no.2, Paper No. 124712, 11 pp.
Shen, Bin(PRC-SEU-SM)
Strongly and weakly affine vector fields on Finsler manifolds.
Differential Geom. Appl.62(2019), 190–211.
Shen, Bin(PRC-SEU-CM)
Vanishing of Killing vector fields on compact Finsler manifolds.
Kodai Math. J.41(2018), no.1, 1–15.
Shen, Bin(PRC-SEU-SM)
Vanishing of projective vector fields on compact Finsler manifolds.
J. Korean Math. Soc.55(2018), no.1, 1–16.
Shen, Bin(PRC-SEU)
Frankel's refinement of Bochner's theorem on forward complete Finsler manifolds.
Differential Geom. Appl.51(2017), 65–75.
Finsler流形上局部度量性质、椭圆算子的研究和应用(这方面工作已经完结):
Shen, Bin(PRC-SEU-SM)
Strong maximum principle for a Finsler-Laplacian.
Houston J. Math.45(2019), no.4, 1089–1117.
Shen, Bin(PRC-SEU-SM)
S-closed conformal transformations in Finsler geometry.
Differential Geom. Appl.58(2018), 254–263.
Shen, Bin(PRC-SEU); Tian, Yanfang(PRC-LEPLA)
Rigidity theorems of some dually flat Finsler metrics and its applications.
Bull. Korean Math. Soc.53(2016), no.5, 1457–1469.
Shen, Bin(PRC-SEU-SM); Tian, Yanfang
Dually flat Kropina metrics.
Adv. Math. (China)46(2017), no.3, 453–462.
Shen, Bin(PRC-SEU)
Twisted Ricci flow on a class of Finsler metrics and its solitons.
Differential Geom. Appl.46(2016), 132–145.
黎曼指标定理消失方面(这方面工作不是我的研究重点):
Chao, Xiaoli(PRC-SEU-SM); Shen, Bin(PRC-SEU-SM); Zhang, Miaomiao(PRC-SEU-SM)
Lp harmonic 1-forms on hypersurfaces with finite index.
Glasg. Math. J.65(2023), no.2, 310–323.
Chao, Xiaoli(PRC-SEU); Shen, Bin(PRC-SEU)
Global pinching theorem for spacelike submanifolds in semi-Riemannian space forms.
Balkan J. Geom. Appl.20(2015), no.2, 9–22.
PRC-SEU-SM:People's Repablic of China-Southeast University-School of Mathematics
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