Yang-Mills, complex structures and Chern's last theorem

Andrei Marshakov, Antti J. Niemi

Research output: Contribution to journalShort surveypeer-review

1 Citation (Scopus)


Recently Shiing-Shen Chern suggested that the six-dimensional sphere S 6 has no complex structure. Here we explore the relations between his arguments and Yang-Mills theories. In particular, we propose that Chern's approach is widely applicable to investigate connections between the geometry of manifolds and the structure of gauge theories. We also discuss several examples of manifolds, both with and without a complex structure.

Original languageEnglish
Pages (from-to)2583-2600
Number of pages18
JournalModern Physics Letters A
Issue number34
Publication statusPublished - 10 Nov 2005
Externally publishedYes


  • Complex geometry
  • Yang-Mills theory


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