Turkish Journal of Mathematics
DOI
-
Abstract
Let $G=H_{2n+1}$ be a $(2n+1)$-dimensional Heisenberg Lie group acts on $M=C^m-\{0\}$ and $M^{'}=C^{m'}-\{0\}$ 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.
First Page
345
Last Page
357
Recommended Citation
GÜNER, NECDET (2000) "A Borsuk-Ulak Theorem for Heisenberg Group Actions," Turkish Journal of Mathematics: Vol. 24: No. 4, Article 3. Available at: https://journals.tubitak.gov.tr/math/vol24/iss4/3
