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1.
KOPPELMAN-LERAY FORMULA ON COMPLEX MANIFOLDS 总被引:1,自引:0,他引:1
钟同德 《数学物理学报(B辑英文版)》1995,(1)
(钟同德)KOPPELMAN-LERAYFORMULAONCOMPLEXMANIFOLDS¥ZhongTongde(InstituteofMathematics,XiamenUniversity,Xiamen361005,China)Abstract... 相似文献
2.
A horizontal Hodge Laplacian operator $\square_{\mathcal {H}}$ is defined for Hermitian holomorphic vector bundles over PTM on K¨ahler Finsler manifold, and the expression of $\square_{\mathcal {H}}$ is obtained explicitly in terms of horizontal covariant derivatives of the Chern-Finsler connection. The vanishing theorem is obtained by using the $\partial_{\mathcal
{H}}\ov{\partial}_{\mathcal {H}}$-method on K¨ahler Finsler manifolds. 相似文献
3.
Using non-linear connection of Finsler manifold M, the existence of local coordinates which is normalized at a point x is proved, and the Laplace operator A on 1-form of M is defined by non-linear connection and its curvature tensor. After proving the maximum principle theorem of Hopf-Bochner on M, the Bochner type vanishing theorem of Killing vectors and harmonic 1-form are obtained. 相似文献
4.
A theory of a class of higher order singular integral under the operator(Lf)(u)=1/(ū [ū1 f u 1(u) 1 f ū1(u)+f(u)] is given.We transform the higher order singular integral to a usual Cauchy integral,extend the permutation formula of the higher order singular integral deduced by Qian and Zhong in [4] to a general case,and discuss the regularization problem of the higher order singular integral equations with Cauchy kernel and variable coefficients on complex hypersphere. 相似文献
5.
Hui Shen Guocheng Deng Sami Kaappa Tongde Tan Ying‐Zi Han Sami Malola Shui‐Chao Lin Boon K. Teo Hannu Hkkinen Nanfeng Zheng 《Angewandte Chemie (Weinheim an der Bergstrasse, Germany)》2019,131(49):17895-17899
Surface organic ligands play a critical role in stabilizing atomically precise metal nanoclusters in solutions. However, it is still challenging to prepare highly robust ligated metal nanoclusters that are surface‐active for liquid‐phase catalysis without any pre‐treatment. Now, an N‐heterocyclic carbene‐stabilized Au25 nanocluster with high thermal and air stabilities is presented as a homogenous catalyst for cycloisomerization of alkynyl amines to indoles. The nanocluster, characterized as [Au25(iPr2‐bimy)10Br7]2+ (iPr2‐bimy=1,3‐diisopropylbenzimidazolin‐2‐ylidene) ( 1 ), was synthesized by direct reduction of AuSMe2Cl and iPr2‐bimyAuBr with NaBH4 in one pot. X‐ray crystallization analysis revealed that the cluster comprises two centered Au13 icosahedra sharing a vertex. Cluster 1 is highly stable and can survive in solution at 80 °C for 12 h, which is superior to Au25 nanoclusters passivated with phosphines or thiols. DFT computations reveal the origins of both electronic and thermal stability of 1 and point to the probable catalytic sites. This work provides new insights into the bonding capability of N‐heterocyclic carbene to Au in a cluster, and offers an opportunity to probe the catalytic mechanism at the atomic level. 相似文献
6.
Tongde Zhong 《中国科学A辑(英文版)》1997,40(8):817-824
The homotopy formulas of (r, s) differential forms and the solution of $\bar \partial $ -equation of type (r, s) on localq-convex domains in Stein manifolds are obtained. The homotopy formulas on localq-convex domains have important applications in uniform estimates of $\bar \partial $ -equation and holomorphic extension of CR-manifolds. 相似文献
7.
为准确测定铌钛合金中氢含量,使用LECO-404氢分析仪,采用惰性气氛脉冲加热熔融试样,热导法测定。研究了不同的脱气功率对空白值和试样分析值的影响,选择了脱气功率为4 500 W。通过助熔剂实验,选择了0.50g锡作为铌钛合金中氢释放的助熔剂。验证了钛标准样品的适用性。确定了分析功率为3 500 W,最短积分时间为60s。精密度实验中氢含量测定的相对标准偏差(RSD)为2.5%~5.5%,加标回收率为97.82%~104.5%,可以准确测定铌钛合金中氢含量。研究结果对准确测定铌钛合金中氢含量具有指导意义。 相似文献
8.
Transparent Nd:YAG/YAG composite ceramics are synthesized by solid-state reaction method using high- purity Y203, A1203, and Nd203 powders as raw materials. The mixed powder compacts are sintered at 1780 ℃ for 10 h under vacuum and annealed at 1450 ~C for 20 h in air. The Nd:YAG/YAG ceramics exhibit a pore free structure with an average grain size of about 30 μm. The microstructure of the Nd:YAG/YAG composite transparent ceramics is studied and there is no interface between Nd:YAG and YAG ceramics. The Nd ion distribution in one grain is also studied, which shows that there is no segregation of Nd ions as in Nd:YAG crystals. 相似文献
9.
钟同德 《数学物理学报(B辑英文版)》1998,(4)
1IntroductionTheauthorhasobtainedaKoppelman-Leray-Norguetformulaforaiccafq-coneavewedgeinndimensionalSteinmanifoldsX[11,inthispaperbasedonthisformulaweobtainahomotopyformulaforalocalq-concavewedge,byusingthisformulaweobtainthesolutionformulafor0-equationonlocalq-concavewedges,anddiscussanextensionproblemonlocalq-concavewedges.Inviewofsavespareweusethenotationsdefinitionsandresultsdirectlywithoutspreadout.airlateruseweonlyintroducetwonewdefinitions[2]:Definition1.1Acolloction(U,pl,''tPN)wi… 相似文献
10.
Chen Lüping 《数学物理学报(B辑英文版)》2006,26(4):679-690
Using the method of localization, the authors obtain the permutation formula of singular integrals with Bochner-Martinelli kernel for a relative compact domain with C(1) smooth boundary on a Stein manifold. As an application the authors discuss the regularization problem for linear singular integral equations with Bochner-Martinelli kernel and variable coefficients; using permutation formula, the singular integral equation can be reduced to a fredholm equation. 相似文献