Nonexistence theorems for Yang-Mills fields and harmonic maps in the Schwarzschild spacetime

1987 ◽  
Vol 14 (3) ◽  
pp. 253-262 ◽  
Author(s):  
Hu Hesheng
Keyword(s):  
Harmonic Maps ◽  
Schwarzschild Spacetime ◽  
Yang Mills

scholarly journals Saddle-point dynamics of a Yang–Mills field on the exterior Schwarzschild spacetime

2010 ◽  
Vol 27 (17) ◽  
pp. 175003 ◽  
Author(s):  
Piotr Bizoń ◽  
Andrzej Rostworowski ◽  
Anıl Zenginoğlu
Keyword(s):  
Saddle Point ◽  
Schwarzschild Spacetime ◽  
Yang Mills ◽  
Mills Field

Some conditions ensuring the vanishing of harmonic differential forms with applications to harmonic maps and Yang-Mills theory

1982 ◽  
Vol 91 (3) ◽  
pp. 441-452 ◽  
Author(s):  
H. C. J. Sealey
Keyword(s):  
Harmonic Maps ◽  
Harmonic Map ◽  
Differential Forms ◽  
Finite Energy ◽  
Energy Functional ◽  
Conformal Transformations ◽  
Second Variation ◽  
Yang Mills

In (5) it is shown that if m ≽ 3 then there is no non-constant harmonic map φ: ℝm → Sn with finite energy. The method of proof makes use of the fact that the energy functional is not invariant under conformal transformations. This fact has also allowed Xin(9), to show that any non-constant-harmonic map φ:Sm → (N, h), m ≽ 3, is not stable in the sense of having non-negative second variation.

Nonexistence theorems for Yang-Mills fields outside the black hole of the Schwarzschild spacetime

1989 ◽  
Vol 17 (2) ◽  
pp. 129-139 ◽  
Author(s):  
A. K. M. Masood-Ul-Alam ◽  
Pan Yanglian (Y. L. Pan)
Keyword(s):  
Black Hole ◽  
Schwarzschild Spacetime ◽  
Yang Mills
Sign in / Sign up

Export Citation Format

Share Document