VARIATIONAL PROPERTIES OF THE INTEGRATED MEAN CURVATURES OF TUBES IN SYMMETRIC SPACES

61. IntroductionLet P be a submanifold of an n-dimensional riemannian manifold AI. Expressions fOrthe kth integrated mean curvatures, M^P(t), (i. e. the integral of tho kth mcan curvature,k = 0, 1,' l n -- l), of a tubular hypersurface P of radius t about P, in terms of theRiemann curvature tensor of P. are calculated when AI is Euclidean or a rank one symmetricspace[5'13"1. Moreover, when P is a closed convex hypersurface of thc n-dimensional spaceof constant curvature A', Santal6 has…     

ON NONLINEAR DIFFERENTIAL GALOIS THEORY

This Is an accom ofa work In course ofprogress．The aim Is the following:     

Coumarin-glycoside and Ferulate from Peucedanum decursivum

The root of Peucedanum decursivum (Miq.) Maxim (umbelliferae) is known as a famoustraditional Chinese medicine. In our Studies on the chemical constituents, compounds Iand 2 were isolated from the extract of the roots by combination of silica gel columnchromatography and preparative HPLC.Compound l, yellow powder, C,.H,,O., (HRFAB-MS (M-H) - m/z. cafed. 475. 1604.ohs. 475.1594), UV spectrum (X max 334 and 203 "m), IH and 13C NMR spectra werequite similar to those of furocoumarin gl…     

The Crystallization of Poly (3-dodecyltbiophene) in an Oriented Solidification Environment

Poly (3-alkylthiophenes) (P3ATs) have made up of a family of conductive polymerswhich are soluble, fusible and processable, since the introduction of flexible alkyl sidechains"'. It is generally accepted that P3ATs can form similar layered structures. inwhich the thiophene rings possess planarity and the side chains act as spacers'-'. Whenthe number. of 'carbon atoms of alkyl side chains is more than 10, some orderlyarrangements will occur for side chains betWeen the' layers'. It has been w…     

ON THE CONVERGENCE OF THE PARABOLIC APPROXIMATION OF A CONSERVATION LAW IN SEVERAL SPACE DIMENSIONS

1.IntrodnctionWegiveaproofofthestrongconvergenceinofthesolutionoftheparabolicapproximationtowardstheentropicsolutiontothescalarconservationlawwhereuo(RN),udenotessomeapproximationofuosuchthatandthefluxfsatisfiesTheconvergenceoftheapproximatesolutions...     

一类描述混沌映射的符号动力系统

本文定义了符号空间上的拟移位映射,并用该类映射描述了Ｃａｎｔｏｒ集及平面Ｃａｎｔｏｒ集上的混沌映射,本文结果可看作Ｓｍａｌｅ马蹄模型的简化。     

Bi2212晶须中磁通线运动临界电流的反常现象

我们对同一Ｂｉ２２１２晶须样品加不同方向的磁场,比较了Ｈ∥ｂ和Ｈ∥ｃ两种情况下的Ｉ－Ｖ曲线。我们发现,当Ｈ∥ｃ时,驱动磁通线运动的临界电流Ｉｃ与温度的关系遵循一般的单调地随温度上升而下降的关系。但是,当Ｈ∥ｂ时,Ｉｃ在Ｔ＾＊＝２５．５Ｋ附近出现了一个峰值：当Ｔ〉Ｔ＾＊时,Ｉｃ温度的下降而升高;Ｔ〈Ｔ＾＊时,Ｉｃ随温度的下降而下降。我们在文章中对此现象进行了讨论。     

三钌乙烯酮原子簇化合物[PPN]_2[Ru_3(CO)_9(CCO)]在SiO_2上的负载及其催化性能的研究

[PPN]_2[Ru_3(CO)_9(CCO)]负载于SiO_2表面后,其红外谱图显示2068,2036,2000,1974和1925cm~(-1)谱带,表明[Ru_3(CO)_9(CCO)]~(2-)同Si—OH基因反应,形成了[HRu_3(CO)_9-(CCO)]~-/SiO~2。在600～720cm~(-1)区间,出现694cm~(-1)谱带,归属于[HRu_3(CO)_9(CCO)~-/SiO_2的VRu_H_Ru(out-of-plane)。通过(13)~CO和CO同位素交换反应,提出1974和1940cm~(-1)谱带分别归属于CCO和C~(13)CO基团的VCO和V13CO。在乙烯甲酰化和CO加氢反应中,由[PPN]_2-[Ru_3(CO)_9(CCO)]制备的催化剂对形成烃和含氧化合物的反应活性远远大于由[PPN]-[HRu_3(CO)_(11)]制备的催化剂,表明CCO是形成产物的活性中间体。     

氧离子与氦、氖原子碰撞中转移电离过程的研究

采用位置灵敏探测和散射离子-反冲离子飞行时间测量技术,测量了氧离子与氖和氦原子碰撞过程中转移电离截面与单电子俘获截面之比.通过比较发现测量结果与文献结果的趋势一致,并对测量结果进行了讨论.     

稀土对Al—5%Cu合金固液共存区开尔芬体力学行为的影响

固液共存区开尔芬体的力学行为可以解释为高弹性模量的固相与粘性液态金属的联合作用,这种联合作用直接影响热裂纹的形成与发展。因此,深入研究开尔芬体的力学行为将为我们从流变学角度理解热裂纹的形成机制提供新思路。现已发现,稀土能不同程度地降低合金的热裂倾向性,提高准固态强度并使流变参数值提高。因此,研究稀土对开尔芬体力学行为的影响将为进一步弄清开尔芬体的力学特征提供必要的途径。