An L 2 -isolation theorem for Yang-Mills fields over complete manifolds

J. Dodziuk; Min-Oo

Compositio Mathematica (1982)

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

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Dodziuk, 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

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  1. [1] P.R. Chernoff: Essential self-adjointness of powers of generators of hyperbolic equations. Journal of Functional Analysis12 (1973) 401-414. Zbl0263.35066MR369890
  2. [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. [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. [4] Min-O: An L2-isolation theorem for Yang-Mills fields, this journal. Zbl0519.53042
  5. [5] G. Derham: Variétés différentiables, Hermann, Paris1973. Zbl0284.58001
  6. [6] C.-L. Shen: Gap-phenomena of Yang-Mills fields over complete manifolds, preprint. Zbl0471.58031MR656222

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