# An ${L}_{2}$-isolation theorem for Yang-Mills fields over complete manifolds

Compositio Mathematica (1982)

- Volume: 47, Issue: 2, page 165-169
- ISSN: 0010-437X

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top## How to cite

topDodziuk, J., and Min-Oo. "An $L_2$-isolation theorem for Yang-Mills fields over complete manifolds." Compositio Mathematica 47.2 (1982): 165-169. <http://eudml.org/doc/89567>.

@article{Dodziuk1982,

author = {Dodziuk, J., Min-Oo},

journal = {Compositio Mathematica},

keywords = {Yang-Mills equations; Weitzenboeck formula; isoperimetric inequality; connection in a principal bundle; self-dual connections},

language = {eng},

number = {2},

pages = {165-169},

publisher = {Martinus Nijhoff Publishers},

title = {An $L_2$-isolation theorem for Yang-Mills fields over complete manifolds},

url = {http://eudml.org/doc/89567},

volume = {47},

year = {1982},

}

TY - JOUR

AU - Dodziuk, J.

AU - Min-Oo

TI - An $L_2$-isolation theorem for Yang-Mills fields over complete manifolds

JO - Compositio Mathematica

PY - 1982

PB - Martinus Nijhoff Publishers

VL - 47

IS - 2

SP - 165

EP - 169

LA - eng

KW - Yang-Mills equations; Weitzenboeck formula; isoperimetric inequality; connection in a principal bundle; self-dual connections

UR - http://eudml.org/doc/89567

ER -

## References

top- [1] P.R. Chernoff: Essential self-adjointness of powers of generators of hyperbolic equations. Journal of Functional Analysis12 (1973) 401-414. Zbl0263.35066MR369890
- [2] J. Dodziuk: Vanishing theorems for square integrable harmonic forms, Geometry and analysis, papers dedicated to the memory of V.K. Patodi, Indian Academy of Sciences and Tata Institute of Fundamental Research, Bombay, 1981, pp. 21-27. Zbl0495.58002MR592250
- [3] P. Li: On the Sobolev constant and the p-Spectrum of a compact Riemannian manifold, Ann. Scient. Éc. Norm. Sup.4e serie, t. 13 (1980) 451-469. Zbl0466.53023MR608289
- [4] Min-O: An L2-isolation theorem for Yang-Mills fields, this journal. Zbl0519.53042
- [5] G. Derham: Variétés différentiables, Hermann, Paris1973. Zbl0284.58001
- [6] C.-L. Shen: Gap-phenomena of Yang-Mills fields over complete manifolds, preprint. Zbl0471.58031MR656222

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