The Eta Invariant and Non-Singular Bilinear Products on Rn
Canadian mathematical bulletin, Tome 30 (1987) no. 2, pp. 147-154
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Milnor showed that non-singular bilinear products on Rn exist only if n = 1, 2, 4, 8 using topological methods. In this note, we give a proof of this result by purely analytical methods.
Mots-clés :
58G12, Eta Invariant, Pinc, complex, non-singular bilinear forms
Gilkey, Peter B. The Eta Invariant and Non-Singular Bilinear Products on Rn. Canadian mathematical bulletin, Tome 30 (1987) no. 2, pp. 147-154. doi: 10.4153/CMB-1987-022-1
@article{10_4153_CMB_1987_022_1,
author = {Gilkey, Peter B.},
title = {The {Eta} {Invariant} and {Non-Singular} {Bilinear} {Products} on {Rn}},
journal = {Canadian mathematical bulletin},
pages = {147--154},
year = {1987},
volume = {30},
number = {2},
doi = {10.4153/CMB-1987-022-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-022-1/}
}
TY - JOUR AU - Gilkey, Peter B. TI - The Eta Invariant and Non-Singular Bilinear Products on Rn JO - Canadian mathematical bulletin PY - 1987 SP - 147 EP - 154 VL - 30 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-022-1/ DO - 10.4153/CMB-1987-022-1 ID - 10_4153_CMB_1987_022_1 ER -
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