期刊名称：IOP Conference Series: Earth and Environmental Science
印刷版ISSN：1755-1307
电子版ISSN：1755-1315
出版年度：2018
卷号：108
期号：2
页码：022026
DOI：10.1088/1755-1315/108/2/022026
语种：English
出版社：IOP Publishing
摘要：In this paper, we will discuss the fully nonlinear elliptic and parabolic equations related to classical Euclidean geometry and conformal geometry. Some algebraic and analytic properties of concave symmetric functions and Garding's theory of hyperbolic polynomials are collected in the appendix. According to the classification theory of Riemann symmetry space, we use transformation to convert the subalgebra of a very tight part to a very noncompact subalgebra. By calculating the projection, we calculate the section curvature of all irreducible Riemann symmetric spaces. Using the classification theory of the maximal subfamily of abstract roots and the control chart, we calculate the partial positive partial negative values of the curvature of all irreducible Riemann symmetric spaces.
