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136102

A Borsuk-Ulak Theorem for Heisenberg Group Actions

Let G=H2n+1 be a (2n+1)-dimensional Heisenberg Lie group acts on M=Cm-\{0\} and M'=Cm'-\{0\} exponentially. By using Cohomological Index we proved the following theorem. If f:M{\to}M' is a G-equivariant map, then m{\le}m'.
Anahtar Kelimeler:

Borsuk-Ulam Type Theorem, Cohomological Index, Group Action.

A Borsuk-Ulak Theorem for Heisenberg Group Actions

Let G=H2n+1 be a (2n+1)-dimensional Heisenberg Lie group acts on M=Cm-\{0\} and M'=Cm'-\{0\} exponentially. By using Cohomological Index we proved the following theorem. If f:M{\to}M' is a G-equivariant map, then m{\le}m'.
Keywords:

Borsuk-Ulam Type Theorem, Cohomological Index, Group Action.,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
Arşiv
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