In this paper,we study the basic p-harmonic forms on the complete foliated Riemannian manifolds.By using the method in[1],we show that if the basic mean curvature form is bounded and co-closed,and the transversal curv...In this paper,we study the basic p-harmonic forms on the complete foliated Riemannian manifolds.By using the method in[1],we show that if the basic mean curvature form is bounded and co-closed,and the transversal curvature operator is nonnegative and positive at least one point,then we obtain a vanishing theorem for L^(p)-integrably p-harmonic r-forms.展开更多
In recent years, our countrys economic development level has developed rapidly, and the number of urban buildings has been continuously improved. Foundation design is an indispensable part of architectural structure d...In recent years, our countrys economic development level has developed rapidly, and the number of urban buildings has been continuously improved. Foundation design is an indispensable part of architectural structure design. On the one hand, the design of foundation will hinder the safety of buildings, and on the other hand, it will also have certain effects on the functions of buildings. At the same time, the improvement of construction unit cost control also promotes the development of building structure design. At present, many new technologies and new processes are used in the design of building structures, which can not only improve the safety and rationality of buildings, but also save money. Based on this, this paper makes an in-depth discussion on the form of foundation design in architectural structure design.展开更多
基金supported by Guangzhou Science and Technology Program(202102021174)Guangdong Basic and Applied Basic Research Foundation(2023A1515012121).The second author was supported by the Natural Science Foundation of Jiangsu Province(BK20230900)+1 种基金the Fundamental Research Funds for the Central Universities(30924010838)Both authors are partially supported by NSF in China(12141104).
文摘In this paper,we study the basic p-harmonic forms on the complete foliated Riemannian manifolds.By using the method in[1],we show that if the basic mean curvature form is bounded and co-closed,and the transversal curvature operator is nonnegative and positive at least one point,then we obtain a vanishing theorem for L^(p)-integrably p-harmonic r-forms.
文摘In recent years, our countrys economic development level has developed rapidly, and the number of urban buildings has been continuously improved. Foundation design is an indispensable part of architectural structure design. On the one hand, the design of foundation will hinder the safety of buildings, and on the other hand, it will also have certain effects on the functions of buildings. At the same time, the improvement of construction unit cost control also promotes the development of building structure design. At present, many new technologies and new processes are used in the design of building structures, which can not only improve the safety and rationality of buildings, but also save money. Based on this, this paper makes an in-depth discussion on the form of foundation design in architectural structure design.
