Journals / Turkish Journal of Mathematics / 2000 / Cilt: 24 - Sayı: 4

A Borsuk-Ulak Theorem for Heisenberg Group Actions

Pages
345–357
DOI
—

Abstract

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'.

Özet

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.