Pan Yanglian.
International Centre for Theoretical Physics, Trieste (Italy)1988
International Centre for Theoretical Physics, Trieste (Italy)1988
AbstractAbstract
[en] A compact Riemannian manifold M is said to be Yang-Mills instable, if for every choice of compact Lie group G and every principle G-bundle P over M, none of the nonflat Yang-Mills connection in P is weakly stable. This paper gives curvature pinching condition for the Yang-Mills instability of hypersurfaces in space form. (author). 3 refs
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Aug 1988; 9 p
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Nonexistence of stable harmonic maps from sufficiently pinched simply connected Riemannian manifolds
Pan Yanglian.
International Centre for Theoretical Physics, Trieste (Italy)1988
International Centre for Theoretical Physics, Trieste (Italy)1988
AbstractAbstract
[en] It is proved that for n≥3 there exists a constant δ(n) with 1/4≤δ(n)<1 such that if M is a simply connected Riemannian manifold of dimension n with δ(n)-pinched curvatures then for every Riemannian manifold N every stable harmonic map Φ:M→N is constant. Together with Howard's result, it shows that a simply connected sufficiently pinched Riemannian manifold is weakly E-unstable. (author). 8 refs
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Aug 1988; 11 p
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Masood-Ul-Alam, A.K.M.; Pan Yanglian.
International Centre for Theoretical Physics, Trieste (Italy)1988
International Centre for Theoretical Physics, Trieste (Italy)1988
AbstractAbstract
[en] In this paper, the authors prove some nonexistence theorems for regular static Yang-Mills fields outside the black hole of the Schwarzschild spacetime under certain boundary conditions. (author). 3 refs
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Aug 1988; 12 p
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[en] In this Letter, the authors prove some nonexistence theorems for regular static Yang-Mills fields outside the black hole of the Schwarzschild spacetime under certain boundary conditions. (orig.)
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