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

A Borsuk-Ulam theorem for Heisenberg group actions

Necdet GÜNER
Pages
345–357
Publication Date
2022-11-03
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

If $f : M rightarrow M'$ is a G-equivariant map, then $mleq m'$.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
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Key Findings & Data:By using Cohomological Index we proved the following theorem.
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Conclusion & Impact:If $f : M rightarrow M'$ is a G-equivariant map, then $mleq m'$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

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 $f : M rightarrow M'$ is a G-equivariant map, then $mleq m'$.

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Cite This Article

GÜNER, N. (2022). A Borsuk-Ulam theorem for Heisenberg group actions. Turkish Journal of Mathematics, Cilt: 24 - Sayı: 4, 345–357. https://ajindex.com/articles/608911

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References (7)

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