June 17 19:38 Geometry on Limann 's Snaps.
German mathematician g.f.b. The geometric theory of geometry proposed in the middle of the 19th century. In 1854, Limann's entitled "The On the Assumption of the Base of Geometry" is usually considered to be the source of Liman Geometry. In this speech, Liman will see the surface itself as a separate geometric entity, rather than just seeing it as a geometric entity in the European miles. He first developed the concept of space, proposing the object of geometry research, should be a multi-wide yield, the point in the space can be described as a coordinate as a coordinate of the spatial point (x1, ..., XN). This is the original form of modern N-dimensional differential fluid shape, which lays the foundation for the natural phenomenon of abstract space. One of the basic provisions of Liman Geometry is that any two straight lines in the same plane have a common point (intersection). It does not recognize the existence of parallel lines in Liman Geometry, another public saying: The line can be unlimited, but the total length is limited. The Rieman Geometry model is a suitable "improved" sphere. Modern Limann Geometry has been important in general relative theory. The space geometry in the general relative theory of physicist Einstein is Li Mian Geometry. In general relativity, Einstein gave up the concept of spatial space uniformity. He believes that time and space is only uniform in full and small space, but the entire time and space is uneven. This explanation in physics is exactly similar to the concept of Liman Geometry. In addition, Liman Geometry is also an important tool in mathematics. It is not only the basis of differential geometry, but also in terms of differential equations, variational methods and rehabilitation functions.