Stability and Singularities of Harmonic Maps Into Spheres |
Contents
Interdependence of Propositions | 2 |
List of Basic Notation | 9 |
Introduction | 15 |
Copyright | |
2 other sections not shown
Common terms and phrases
² dr 3-spheres a²x blow-up bounded domain Chapter compact set compact subset conformal geometry converges coordinate system Corollary cx+0 d(uo deg(u denote Dirichlet energy functional domain in Rm dvols³ dµg E(uo energy minimizing map Euler-Lagrange equation exists Əx³ Əyi G-orbit isolated singular point Lemma Let uo E C lim inf Lm+2 mapping degree maps between spheres Math orthogonal matrix orthonormal positive number present monograph problem proof of Theorem prove R²+¹ Radon measure rescaled map result Riemannian manifold Rn+1 sequence singular set singularities of harmonic smooth harmonic map SO(m stable stationary harmonic stationary harmonic map strict stability strictly stable tension field Theorem 1.9 Tohoku University uo(p vector field Vu² Vul² dx W¹² W¹²(N weak stability weakly harmonic map weakly stable stationary Τε Χε ди ди მე მი