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30 results on '"Liu, Wanxing"'

2. The Miyaoka-Yau inequality on smooth minimal models

Author

Liu, Wanxing

Subjects
Mathematics - Differential Geometry
Abstract

In this short note, we offer an observation that the Miyaoka-Yau inequality holds for any compact K\"{a}hler manifold with nef canonical bundle, i.e. a smooth minimal model. It follows directly from the existence of cscK metrics in a neighborhood of the canonical class which was confirmed both by the work of Dyrefelt and Song using different approaches., Comment: 5 pages

Published
2020

3. Convergence of cscK metrics on smooth minimal models of general type

Author

Liu, Wanxing

Subjects
Mathematics - Differential Geometry
Abstract

We consider constant scalar curvature K\"{a}hler metrics on a smooth minimal model of general type in a neighborhood of the canonical class, which is the perturbation of the canonical class by a fixed K\"{a}hler metric. We show that sequences of such metrics converge smoothly on compact subsets away from a subvariety to the singular K\"{a}hler Einstein metric in the canonical class. This confirms partially a conjecture of Jian-Shi-Song about the convergence behavior of such sequences., Comment: 23 pages; minor corrections

Published
2020

5. The crystal structure of 1,5-bis(4-chlorophenyl)-3-(3-methylphenyl)pentane- 1,5-dione, C48H40Cl4O4

Author

Li Zhen, Liu Wanxing, Wang Baolei, Yang Yanbing, Liu Dong, and Dai Yifan

Subjects
2191527, Physics, QC1-999, Crystallography, QD901-999
Abstract

C48H40Cl4O4, triclinic, P1‾ $P\overline{1}$ (no. 2), a = 7.1407(5) Å, b = 12.5905(8) Å, c = 24.6662(17) Å, α = 103.442(6)°, β = 93.551(5)°, γ = 101.219(5)°, V = 2102.3(2) Å3, Z = 2, R gt(F) = 0.0595, wR ref(F 2) = 0.1641, T = 293 K.

Published
2022
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14. Ball-milling Synthesis of Tetrahydroquinolines via‘One-pot’ Three-component Diels-Alder Reaction Catalyzed by Phosphotungstic Acid

Author

Wang, Zeyou, Shen, Guodong, Huang, Xianqiang, Gong, Shuwen, Yang, Bingchuan, Sun, Zhenzhen, Zhang, Zuhao, and Liu, Wanxing

Abstract

We reported an economic and practical ball-milling method for the synthesis of tetrahydroquinoline derivatives viaa ‘one-pot’ three-component Diels-Alder reaction of anilines, aldehydes and alkenes catalyzed by phosphotungstic acid at room temperature. For this reaction, a simple “one-pot” ball-milling operation was conducted, readily available starting materials were employed, ‘one-pot’ conditions were applied, and the most important was to use inexpensive and environmentally friendly catalyst phosphotungstic acid. Various tetrahydroquinolines, which might be potentially applicable in the pharmaceutical and biochemical areas, were conveniently synthesized in moderate to excellent yields.

Published
2024
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18. The Miyaoka–Yau inequality on smooth minimal models.

Author

Liu, Wanxing

Subjects
*NEIGHBORHOODS, *SONGS
Abstract

In this short note, we offer an observation that the Miyaoka–Yau inequality holds for any compact Kähler manifold with nef canonical bundle, that is, a smooth minimal model. It follows directly from the existence of cscK metrics in a neighborhood of the canonical class which was confirmed both by the work of Dyrefelt and Song using different approaches. [ABSTRACT FROM AUTHOR]

Published
2023
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22. The crystal structure of 1,5-bis(4-chlorophenyl)-3-(3-methylphenyl)pentane- 1,5-dione, C48H40Cl4O4.

Author

Li, Zhen, Liu, Wanxing, Wang, Baolei, Yang, Yanbing, Liu, Dong, and Dai, Yifan

Subjects
CRYSTAL structure
Abstract

C48H40Cl4O4, triclinic, P 1 ‾ (no. 2), a = 7.1407(5) Å, b = 12.5905(8) Å, c = 24.6662(17) Å, α = 103.442(6)°, β = 93.551(5)°, γ = 101.219(5)°, V = 2102.3(2) Å3, Z = 2, Rgt(F) = 0.0595, wRref(F2) = 0.1641, T = 293 K. [ABSTRACT FROM AUTHOR]

Published
2022
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23. The crystal structure of 3-(2-bromophenyl)-1,5-di-p-tolylpentane-1,5-dione, C25H23BrO2.

Author

Liu, Wanxing, Dai, Yifan, and Shen, Guodong

Subjects
CRYSTAL structure, MICHAEL reaction, MOLECULAR structure
Abstract

Table 1 contains crystallographic data and Table 2 contains the list of the atoms including atomic coordinates and displacement parameters. Generally, the 1,5-dione molecules were achieved by the Aldol and Michael addition cascade reactions using the inorganic and organic base as catalysts and the preparation of 1,5-dione derivatives has received considerable attention because they could facilitate the efficient construction of complex bioactive molecules in an atom/step economic manner [[5]]. [Extracted from the article]

Published
2022
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25. Convenient, metal-free ipso -nitration of arylboronic acids using nitric acid and trifluoroacetic acid.

Author

Shen, Guodong, Zhao, Lingyu, Liu, Wanxing, Huang, Xianqiang, Song, Huina, and Zhang, Tongxin

Subjects
TRIFLUOROACETIC acid, NITRATION, NITRIC acid, CHEMICAL yield, REGIOSELECTIVITY (Chemistry), CHEMICAL reagents, INDUSTRIAL applications
Abstract

A feasible protocol for the directipso-nitration of arylboronic acids using trifluoroacetic acid and nitric acid as nitration reagent has been developed. Various aromatic nitro compounds are produced in moderate to good yields under the metal-free conditions. The method is operationally simple and regioselective, and might have potential application in industry. [ABSTRACT FROM PUBLISHER]

Published
2017
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