CONJUGATE SU(r)-CONNECTIONS AND HOLONOMY GROUPS
نویسندگان
چکیده
In this article we show that when the structure group of the reducible principal bundle P is SU(r) and Q ⊂ P is an SO(r)-subbundle of P , the rank of the holonomy group of a connection which is gauge equivalent to its conjugate connection is less than or equal to [ r 2 ] , and use the estimate to show that for all odd prime r, if the holonomy group of the irreducible connection as above is simple and is not isomorphic to E8, F4, or G2, then it is isomorphic to SO(r).
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