Some Results Of Subelliptic Harmonic Maps

In this thesis ,The First, we will make a general description on the researches in our field in the section one and introduce the preliminaries for the paper in the section two. The Second, In section three we mainly study the stability on subelliptic harmonic maps by means of evaluating the second varivation of energy and prove that the stable subelliptic harmonic maps fromΩto compact submanifold of Euler space are constant , if submanifold satisfies the h_kj^μh_ki^μ-R_ij^N≤bδ_ij with b is negative, It is themain conclusion of the thesis; The last, seeing that the Bochner -typed formula is very important to the harmonic maps theorem.In the section four,we extract it and offer a case of appliance in the form of a theorem ,meanwhile introduce some related examples.