Maps into complex space

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Abstract

If the dimension of M is denoted by 2k - 1 or 2k, then a generic map F : M → C k satisfies dF 1 Λ . . . Λ dF k ≠ 0, while in certain cases there is no map F : M → C k+1 that satisfies dF 1 Λ . . . Λ dF k+1 ≠ 0.

Original languageEnglish (US)
Pages (from-to)893-895
Number of pages3
JournalProceedings of the American Mathematical Society
Volume134
Issue number3
DOIs
StatePublished - Mar 2006

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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