The Existance Of Real Milnor Fibration And Its Topology

In the algebraic singularity theory,Milnor fibration has been very important and has a wide range of applications.In this article,we investigate the conclusions related to the existence theorems of real Milnor fibration and its topology,and we illustrate some specific examples to show the differences to the complex case.This paper are arranged as follows:in the introduction,we introduce the research background of the problem and a series of known results;in the second chapter,we formulate the relevant concepts and properties of differential manifolds,fiber bundles,etc;in the third chapter,we consider the existence theorems and topology of Milnor fiber bundle,and prove the topological structure of Milnor fiber from the view point of Morse theory(e.g.Euler characteristic);in the last chapter,we discuss an example to exhibit the topological condition of the existence of real Milnor fibration.