Tensorflow on Raspberry Pi with Ubuntu 20.04

I've installed Ubuntu 20.04 on a Raspberry Pi. Both my Ubuntu and Python3 installations are 64-bit. I'm now trying to install Tensorflow so that I can run (not train) a model.

I've tried various blog-posts, installed all the dependencies, etc. However, I am always faced with the same error:

> pip3 install tensorflow ERROR: Could not find a version that satisfies the requirement tensorflow (from versions: none) ERROR: No matching distribution found for tensorflow 

and running pip install --upgrade tensorflow gives the same error.

What is wrong? How can I install tensorflow on my Raspberry Pi?