Automorphism groups of Joyce twistor spaces

作者:Fujiki Akira*
来源:Kyoto Journal of Mathematics, 2013, 53(2): 405-432.
DOI:10.1215/21562261-2081252

摘要

We determine the automorphism groups of torus invariant self-dual structures defined by Joyce on the connected sum of copies of the complex projective plane. We determine, actually, the automorphism groups of the associated twistor spaces by using the results of our previous work. When the self-dual structures of Joyce and LeBrun coincide, our results recover the recent results of Honda and Viaclovsky on the automorphism groups of LeBrun's self-dual structures.

  • 出版日期2013

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