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S.-S. Chern’s study of almost-complex structures on the six-sphere

Publication ,  Journal Article
Bryant, RL
Published in: International Journal of Mathematics
November 1, 2021

In April 2003, Chern began a study of almost-complex structures on the six-sphere, with the idea of exploiting the special properties of its well-known almost-complex structure invariant under the exceptional group G2. While he did not solve the (currently still open) problem of determining whether there exists an integrable almost-complex structure on S6, he did prove a significant identity that resolves the question for an interesting class of almost-complex structures on S6

Duke Scholars

Published In

International Journal of Mathematics

DOI

ISSN

0129-167X

Publication Date

November 1, 2021

Volume

32

Issue

12

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics
 

Citation

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Bryant, R. L. (2021). S.-S. Chern’s study of almost-complex structures on the six-sphere. International Journal of Mathematics, 32(12). https://doi.org/10.1142/S0129167X21400061
Bryant, R. L. “S.-S. Chern’s study of almost-complex structures on the six-sphere.” International Journal of Mathematics 32, no. 12 (November 1, 2021). https://doi.org/10.1142/S0129167X21400061.
Bryant RL. S.-S. Chern’s study of almost-complex structures on the six-sphere. International Journal of Mathematics. 2021 Nov 1;32(12).
Bryant, R. L. “S.-S. Chern’s study of almost-complex structures on the six-sphere.” International Journal of Mathematics, vol. 32, no. 12, Nov. 2021. Scopus, doi:10.1142/S0129167X21400061.
Bryant RL. S.-S. Chern’s study of almost-complex structures on the six-sphere. International Journal of Mathematics. 2021 Nov 1;32(12).
Journal cover image

Published In

International Journal of Mathematics

DOI

ISSN

0129-167X

Publication Date

November 1, 2021

Volume

32

Issue

12

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics