i2C : Raspberry communicating with several Arduino UNO

Hello,

I would like to make in communication a Raspberry Pi (master) in I2C with several Arduino ( slaves). For this I realized a scheme where I connected the SDA together, the overall SCL and GND together. The Raspberry and each Arduino have their own power supply. Could you tell me if my schema is correct, and if I can leave this connection ? Or missing something?
you can see my scema attached to this post

Thank you.

Have you written any code? What did it do? What did it not do?

I think that you are missing the required pullup resistors, unless they are on the Pi (which I doubt). Around 4.7K from SDA to Vcc and 4.7K from SCL to Vcc.