In this paper, we establish a differential equation about scalar curvature of conformally flat K-contact manifolds, and prove that a conformally symmetric K-contact manifold is a Riemann manifold with constant curvatu...In this paper, we establish a differential equation about scalar curvature of conformally flat K-contact manifolds, and prove that a conformally symmetric K-contact manifold is a Riemann manifold with constant curvature 1. At the same time, the results on Sasaki manifolds which are given by Miyazaawa and Yamagushi are generalized to K-contact manifolds.展开更多
The Hamiltonian structure of.the integrable couplings obtained by our method has not been solved. In this paper, the Hamiltonian structure of the KN hierarchy is obtained by making use of the quadratlc-form identity.
This paper provides several linear isomorphism theorems for certain nonsymmetric differential operators of sixth order under proper topologies about some complex parameters. From these results, one can, to a large ext...This paper provides several linear isomorphism theorems for certain nonsymmetric differential operators of sixth order under proper topologies about some complex parameters. From these results, one can, to a large extent, explain and control the stability of some objects in their moving processes.展开更多
A vector loop algebra and its extended loop algebra are proposed, which are devoted to obtaining the Tu hierarchy. By making use of the extended trace identity, the Harniltonian structure of the Tu hierarchy is constr...A vector loop algebra and its extended loop algebra are proposed, which are devoted to obtaining the Tu hierarchy. By making use of the extended trace identity, the Harniltonian structure of the Tu hierarchy is constructed. Furthermore, we apply the quadratic-form identity to the integrable coupling system of the Tu hierarchy.展开更多
The open physics experiment teaching in intuitions of higher learning is a new type of teaching model and plays a very important role in the quality-oriented education. In this paper, the characteristics, function, an...The open physics experiment teaching in intuitions of higher learning is a new type of teaching model and plays a very important role in the quality-oriented education. In this paper, the characteristics, function, and model of physics experiment teaching in intuitions of higher learning are discussed, so as to provide some references for new institutes of nationalities in the physics experiment teaching.展开更多
This study presents a triangulation approach to the investigation of costing possibilities in Greek higher education institutions. The historical data contained in the financial statements of universities provide the ...This study presents a triangulation approach to the investigation of costing possibilities in Greek higher education institutions. The historical data contained in the financial statements of universities provide the expenditures of the latter. These expenditures are then re-determined with the use of independent variables （Jacobian determinants）, as well as with activity-based costing （ABC） and interviews, in order to obtain certainty of accuracy of the calculations and an indication of the cost of educational services, which can help determine magnitudes and improve the long-term planning of university resources. The above process can be used to create cost drivers and cost pools for the new financial burden of academic departments （cost centres） and to calculate the cost per student for each department. This information does not function at variance with or as a substitute for traditional accounting systems but in parallel （or supplementally）, providing administrators with more comparative data and a clearer picture of a university＇s economic operations which will facilitate its decision planning. Thus, it can provide higher education institutions with a decision-making tool for the following tasks： （1） allocation of national and community funds to university departments; （2） financing of textbooks, food, and accommodation; and （3） determining the optimum number of new enrolments.展开更多
We investigate the Liouville theorem for an integral system with Poisson kernel on the upper half space R+n,{u（x） =2/（nωn）∫?R+n（xnf（v（y）））/（|x- y|n）dy, x ∈R+n,v（y） =2/（nωn）∫R+n（xng（u（x）））/（...We investigate the Liouville theorem for an integral system with Poisson kernel on the upper half space R+n,{u（x） =2/（nωn）∫?R+n（xnf（v（y）））/（|x- y|n）dy, x ∈R+n,v（y） =2/（nωn）∫R+n（xng（u（x）））/（|x- y|n）dx, y ∈?R+n,where n 3, ωn is the volume of the unit ball in Rn. This integral system arises from the Euler-Lagrange equation corresponding to an integral inequality on the upper half space established by Hang et al.（2008）.With natural structure conditions on f and g, we classify the positive solutions of the above system based on the method of moving spheres in integral form and the inequality mentioned above.展开更多
By using Darboux transformations, the authors give the explicit construction for local iso-metric immersions of space forms Mn(c) into space forms M2n-1(c + ε2) via purely algebraicalgorithm.
文摘In this paper, we establish a differential equation about scalar curvature of conformally flat K-contact manifolds, and prove that a conformally symmetric K-contact manifold is a Riemann manifold with constant curvature 1. At the same time, the results on Sasaki manifolds which are given by Miyazaawa and Yamagushi are generalized to K-contact manifolds.
基金The project supported by National Natural Science Foundation of China under Grant No. 10471139
文摘The Hamiltonian structure of.the integrable couplings obtained by our method has not been solved. In this paper, the Hamiltonian structure of the KN hierarchy is obtained by making use of the quadratlc-form identity.
文摘This paper provides several linear isomorphism theorems for certain nonsymmetric differential operators of sixth order under proper topologies about some complex parameters. From these results, one can, to a large extent, explain and control the stability of some objects in their moving processes.
文摘A vector loop algebra and its extended loop algebra are proposed, which are devoted to obtaining the Tu hierarchy. By making use of the extended trace identity, the Harniltonian structure of the Tu hierarchy is constructed. Furthermore, we apply the quadratic-form identity to the integrable coupling system of the Tu hierarchy.
文摘The open physics experiment teaching in intuitions of higher learning is a new type of teaching model and plays a very important role in the quality-oriented education. In this paper, the characteristics, function, and model of physics experiment teaching in intuitions of higher learning are discussed, so as to provide some references for new institutes of nationalities in the physics experiment teaching.
文摘This study presents a triangulation approach to the investigation of costing possibilities in Greek higher education institutions. The historical data contained in the financial statements of universities provide the expenditures of the latter. These expenditures are then re-determined with the use of independent variables （Jacobian determinants）, as well as with activity-based costing （ABC） and interviews, in order to obtain certainty of accuracy of the calculations and an indication of the cost of educational services, which can help determine magnitudes and improve the long-term planning of university resources. The above process can be used to create cost drivers and cost pools for the new financial burden of academic departments （cost centres） and to calculate the cost per student for each department. This information does not function at variance with or as a substitute for traditional accounting systems but in parallel （or supplementally）, providing administrators with more comparative data and a clearer picture of a university＇s economic operations which will facilitate its decision planning. Thus, it can provide higher education institutions with a decision-making tool for the following tasks： （1） allocation of national and community funds to university departments; （2） financing of textbooks, food, and accommodation; and （3） determining the optimum number of new enrolments.
基金supported by National Natural Science Foundation of China (Grant No. 11571268)Natural Science Basic Research Plan in Shaanxi Province of China (Grant No. 2014JM1021)
文摘We investigate the Liouville theorem for an integral system with Poisson kernel on the upper half space R+n,{u（x） =2/（nωn）∫?R+n（xnf（v（y）））/（|x- y|n）dy, x ∈R+n,v（y） =2/（nωn）∫R+n（xng（u（x）））/（|x- y|n）dx, y ∈?R+n,where n 3, ωn is the volume of the unit ball in Rn. This integral system arises from the Euler-Lagrange equation corresponding to an integral inequality on the upper half space established by Hang et al.（2008）.With natural structure conditions on f and g, we classify the positive solutions of the above system based on the method of moving spheres in integral form and the inequality mentioned above.
基金Project supported by the National Natural Science Foundation of China (No.10271106)the Science Foundation of the Ministry of Education of Chinathe Natural Science Foundation of Zhejiang Province, China.
文摘By using Darboux transformations, the authors give the explicit construction for local iso-metric immersions of space forms Mn(c) into space forms M2n-1(c + ε2) via purely algebraicalgorithm.
