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《Progress in Geophysics》 2007-01
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Existence of singular point and vector fields for the force of crust

XIA Da-feng,MEN Ke-pei,ZHAO Hui-fang,LIU Ya-ya(College of Mathematics & Physics,Nanjing University of Information Science & Technology,Nanjing 210044,China)  
Vector field of the whole crust was defined by the loading state of every point on the crust.Then,by using homeomorphism,we change it into self-maps on a sphere.According to the theorem Euler characteristic is equal to 2 on the sphere, it is show that this maps has at least one fixed point,that is to say the vector field has at least one singular point.So from this paper,we can draw earthquake,tsunami,fiery hill and so on are natural phenomena in theory.
【Fund】: 南京信息工程大学科研基金资助项目
【CateGory Index】: P315
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